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Shkalikov Andrei Andreevich

Publications


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   2026
1. A. A. Shkalikov, A. V. Tikhonravov, “Spectral problem for the wave equation with damping”, Moscow University Mathematics Bulletin, 81:2 (2026), 100–109  mathnet  crossref  crossref  elib
2. A. P. Kosarev, A. A. Shkalikov, “On the completeness of root functions of boundary value problems for systems of ordinary differential equations”, Dokl. RAN. Math. Inf. Proc. Upr., 529 (2026), 37–47  mathnet  crossref  elib

   2025
3. B. S. Kashin, V. K. Beloshapka, V. I. Bogachev, P. A. Borodin, P. V. Paramonov, K. Yu. Fedorovskiy, A. A. Shkalikov, “Research activity on the Chair of Theory of Functions and Functional Analysis”, Moscow University Mathematics Bulletin, 80:1 (2025), 42–55  mathnet  crossref  crossref  elib
4. V. N. Sivkin, A. A. Shkalikov, “Asymptotics of the spectra of the Dirichlet and Dirichlet–Neumann problems for the Sturm–Liouville equation with an integral perturbation”, Math. Notes, 118:2 (2025), 356–374  mathnet  crossref  crossref  mathscinet  isi  scopus
5. A. A. Shkalikov, “Spectral Problem for a Differential Operator with Involution”, Proc. Steklov Inst. Math., 331 (2025), 284–296  mathnet  crossref  crossref  isi  scopus

   2024
6. A. P. Kosarev, A. A. Shkalikov, “Asymptotic representations of solutions of $n\times n$ systems of ordinary differential equations with a large parameter”, Math. Notes, 116:2 (2024), 283–302  mathnet  crossref  crossref  isi  scopus
7. A. P. Kosarev, A. A. Shkalikov, “Asymptotic expansions of solutions to $n \times n$ systems of ordinary differential equations with a large parameter”, Math. Notes, 116:6 (2024), 1312–1325  mathnet  crossref  crossref  isi  scopus
8. A. V. Tikhonravov, A. A. Shkalikov, “Inverse Sturm–Liouville Problem and its application to inverse problems in thin film optics”, Num. Meth. Prog., 25:special issue (2024), 1–10  mathnet  crossref
9. V. S. Kobenko, A. A. Shkalikov, “Boundary value problems for ordinary differential equations with linear dependence on the spectral parameter”, Dokl. Math., 110:3 (2024), 506–510  mathnet  crossref  crossref  elib
10. A. A. Shkalikov, Tr. Mosk. Mat. Obs., 85, no. 2, MCCME, M., 2024, 339–358  mathnet  crossref

   2023
11. N. N. Konechnaja, K. A. Mirzoev, A. A. Shkalikov, “Asymptotics of Solutions of Two-Term Differential Equations”, Math. Notes, 113:2 (2023), 228–242  mathnet  crossref  crossref  mathscinet  isi  scopus

   2024
12. A. A. Vladimirov, A. A. Shkalikov, “Oscillatory properties of selfadjoint boundary value problems of the fourth order”, St. Petersburg Math. J., 35:1 (2024), 83–100  mathnet  crossref  mathscinet

   2023
13. A. P. Kosarev, A. A. Shkalikov, “Asymptotics in the Spectral Parameter for Solutions of $2 \times 2$ Systems of Ordinary Differential Equations”, Math. Notes, 114:4 (2023), 472–488  mathnet  crossref  crossref  mathscinet  isi  scopus

   2022
14. Ya. A. Granilshchikova, A. A. Shkalikov, “Spectral properties of a differential operator with involution”, Moscow University Mathematics Bulletin, 77:4 (2022), 204–208  mathnet  crossref  mathscinet  zmath
15. A. Yu. Anikin, S. Yu. Dobrokhotov, A. A. Shkalikov, “On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator”, Math. Notes, 112:5 (2022), 623–641  mathnet  crossref  crossref  mathscinet  isi  scopus
16. V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5  mathnet

   2021
17. A. A. Shkalikov, “Regular spectral problems for systems of ordinary differential equations of the first order”, Russian Math. Surveys, 76:5 (2021), 939–941  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
18. A. A. Shkalikov, “Regular Spectral Problems of Hyperbolic Type for a System of First-Order Ordinary Differential Equations”, Math. Notes, 110:5 (2021), 806–810  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
19. A. P. Kosarev, A. A. Shkalikov, “Spectral Asymptotics of Solutions of a $2\times 2$ System of First-Order Ordinary Differential Equations”, Math. Notes, 110:6 (2021), 967–971  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
20. A. A. Vladimirov, A. A. Shkalikov, “On oscillation properties of self-adjoint boundary value problems of fourth order”, Dokl. Math., 103:1 (2021), 5–9  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus
21. P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
22. V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71  mathnet

   2020
23. A. M. Savchuk, A. A. Shkalikov, “Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients”, Sb. Math., 211:11 (2020), 1623–1659  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
24. O. V. Anashkin, E. M. Varfolomeev, V. I. Voytitsky, V. I. Donskoy, D. A. Zakora, A. B. Muravnik, M. A. Muratov, Yu. S. Pashkova, V. È. Petrov, E. V. Plokhaya, A. L. Skubachevskii, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, V. N. Chekhov, A. A. Shkalikov, A. I. Yakovlev, “Nikolay Dmitrievich Kopachevsky. March 25, 1940 — May 18, 2020”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 66, no. 2, PFUR, M., 2020, 157–159  mathnet  crossref
25. A. K. Motovilov, A. A. Shkalikov, “Preserving of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators”, Funktsional. Anal. i Prilozhen.  mathnet  crossref  mathscinet  zmath  elib

   2019
26. V. E. Vladykina, A. A. Shkalikov, “Spectral Properties of Ordinary Differential Operators with Involution”, Doklady Mathematics, 99:1 (2019), 5–10  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
27. A. A. Shkalikov, “Basis Properties of Root Functions of Differential Operators with Spectral Parameter in the Boundary Conditions”, Diff. Equat., 55:5 (2019), 631–643  crossref  crossref  mathscinet  zmath  isi  elib  scopus
28. V. E. Vladykina, A. A. Shkalikov, “Regular Ordinary Differential Operators with Involution”, Math. Notes, 106:5 (2019), 674–687  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2020
29. Yu. A. Alkhutov, V. F. Butuzov, V. V. Kozlov, A. A. Kon'kov, A. V. Mikhalev, E. I. Moiseev, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, I. N. Sergeev, M. D. Surnachev, R. N. Tikhomirov, V. N. Chubarikov, T. A. Shaposhnikova, A. A. Shkalikov, “Vasilii Vasilievich Zhikov”, J. Math. Sci. (N. Y.), 244:2 (2020), 113–115  mathnet  crossref  mathscinet  elib  scopus

   2019
30. A. A. Belyaev, A. A. Shkalikov, “Multipliers in Bessel potential spaces with smoothness indices of different sign”, St. Petersburg Math. Jour., 30:2 (2019), 203–218  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2018
31. N. N. Konechnaja, K. A. Mirzoev, A. A. Shkalikov, “On the Asymptotic Behavior of Solutions to Two-Term Differential Equations with Singular Coefficients”, Math. Notes, 104:2 (2018), 244–252  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
32. S. N. Tumanov, A. A. Shkalikov, “Spectral portraits in the semi-classical approximation of the Sturm–Liouville problem with a complex potential”, 7th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2018 (Moscow, 2018, August 27-31), Journ. of Physics: Conf. series, 1141, 2018, 012155, 14 pp.  crossref  elib  scopus 5
33. Nasiri L., Shkalikov A. A., Shakoori M., “A note on reverses of the Young type inequalities via Kantorovich constant”, Studia Sci. Math. Hungar., 55 (2018), 363–373  mathscinet 1
34. B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Russian Math. Surveys, 73:1 (2018), 161–167  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
35. Yu. A. Alkhutov, I. V. Astashova, V. I. Bogachev, V. N. Denisov, V. V. Kozlov, S. E. Pastukhova, A. L. Piatnitski, V. A. Sadovnichii, A. M. Stepin, A. S. Shamaev, A. A. Shkalikov, “Vasilii Vasil'evich Zhikov (obituary)”, Russian Math. Surveys, 73:3 (2018), 533–542  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2017
36. A. M. Savchuk, A. A. Shkalikov, “Spectral Properties of the Complex Airy Operator on the Half-Line”, Funct. Anal. Appl., 51:1 (2017), 66–79  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
37. D. V. Treschev, A. A. Shkalikov, “On the Hamiltonian Property of Linear Dynamical Systems in Hilbert Space”, Math. Notes, 101:6 (2017), 1033–1039  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
38. A. K. Motovilov, A. A. Shkalikov, “Unconditional bases of subspaces related to non-self-adjoint perturbations of self-adjoint operators”, Eurasian Math. J., 8:1 (2017), 119–127  mathnet  mathscinet  isi  elib  scopus 3
39. A. A. Belyaev, A. A. Shkalikov, “Multipliers in Spaces of Bessel Potentials: The Case of Indices of Nonnegative Smoothness”, Math. Notes, 102:5 (2017), 632–644  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
40. S. N. Tumanov, A. A. Shkalikov, “Eigenvalue dynamics of a $PT$-symmetric Sturm–Liouville operator and criteria for similarity to a self-adjoint or a normal operator”, Doklady Mathematics, 96:3 (2017), 607–611  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2016
41. V. L. Geynts, A. A. Shkalikov, “Estimate of the Ratio of Two Entire Functions whose Zeros Coincide in the Disk”, Math. Notes, 99:6 (2016), 870–878  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
42. K. A. Mirzoev, A. A. Shkalikov, “Differential Operators of Even Order with Distribution Coefficients”, Math. Notes, 99:5 (2016), 779–784  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
43. A. A. Shkalikov, “Perturbations of self-adjoint and normal operators with discrete spectrum”, Russian Math. Surveys, 71:5 (2016), 907–964  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
44. A. A. Shkalikov, C. Trunk, “On Stability of Closedness and Self-Adjointness for $2\times 2$ Operator Matrices”, Math. Notes, 100:6 (2016), 870–875  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
45. V. V. Zhikov, A. A. Shkalikov, “To the memory of Boris Moiseevich Levitan (on the 100th anniversary of his birth)”, Russian Math. Surveys, 71:3 (2016), 601–603  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2015
46. V. E. Vladikina, A. A. Shkalikov, “Asymptotics of the Solutions of the Sturm–Liouville Equation with Singular Coefficients”, Math. Notes, 98:6 (2015), 891–899  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
47. S. N. Tumanov, A. A. Shkalikov, “The limit spectral graph in semiclassical approximation for the Sturm–-Liouville problem with complex polynomial potential”, Doklady Mathematics, 92:3 (2015), 773–777  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
48. V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2014
49. T. Kappeler, A. M. Savchuk, P. Topalov, A. A. Shkalikov, “Interpolation of Nonlinear Maps”, Math. Notes, 96:6 (2014), 957–964  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
50. Math. Notes, 96:5 (2014), 777–810  mathnet  crossref  mathscinet  isi  elib  scopus
51. A. M. Savchuk, A. A. Shkalikov, “Recovering a Potential of Sturm-Liouville Problem from Finite Sets of Spectral Data”, American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences, 233 (2014), 211–224  crossref  mathscinet  zmath 16
52. V. V. Zhikov, A. A. Shkalikov, “In memory of Boris Moiseevich Levitan (1914–2004)”, Trans. Moscow Math. Soc., 75 (2014), 87–88  mathnet  crossref  elib  scopus
53. V. V. Aleksandrov, V. P. Karlikov, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Academician Viktor Antonovich Sadovnichii to 75th anniversary”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 3–5  mathnet

   2013
54. A. M. Savchuk, A. A. Shkalikov, “On the Interpolation of Analytic Mappings”, Math. Notes, 94:4 (2013), 547–550  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
55. J. Ben Amara, A. A. Vladimirov, A. A. Shkalikov, “Spectral and Oscillatory Properties of a Linear Pencil of Fourth-Order Differential Operators”, Math. Notes, 94:1 (2013), 49–59  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
56. L. K. Kusainova, A. Zh. Monashova, A. A. Shkalikov, “Asymptotics of Eigenvalues of a Second-Order Non-Self-Adjoint Differential Operator on the Axis”, Math. Notes, 93:4 (2013), 629–632  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
57. A. M. Savchuk, A. A. Shkalikov, “Uniform stability of the inverse Sturm–Liouville problem with respect to the spectral function in the scale of Sobolev spaces”, Proc. Steklov Inst. Math., 283 (2013), 181–196  mathnet  crossref  crossref  mathscinet  isi  elib  elib
58. A. M. Vershik, A. A. Kirillov, V. F. Molchanov, Yu. A. Neretin, G. I. Olshanski, V. V. Ryzhikov, V. M. Tikhomirov, A. A. Shkalikov, “Rais Sal'manovich Ismagilov (on his 75th birthday)”, Russian Math. Surveys, 68:4 (2013), 783–788  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2012
59. A. A. Shkalikov, “Eigenvalue Asymptotics of Perturbed Self-adjoint Operators”, Methods of Functional Analysis and Topology, 18:1 (2012), 89–102  mathscinet 3

   2010
60. A. M. Savchuk, A. A. Shkalikov, “Inverse Problems for Sturm–Liouville Operators with Potentials in Sobolev Spaces: Uniform Stability”, Funct. Anal. Appl., 44:4 (2010), 270–285  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
61. A. A. Shkalikov, “On the basis property of root vectors of a perturbed self-adjoint operator”, Proc. Steklov Inst. Math., 269 (2010), 284–298  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
62. M. S. Agranovich, V. M. Buchstaber, R. S. Ismagilov, B. S. Kashin, B. S. Mityagin, S. P. Novikov, V. A. Sadovnichii, A. G. Sergeev, Ya. G. Sinai, A. A. Shkalikov, “Anatolii Gordeevich Kostyuchenko (obituary)”, Russian Math. Surveys, 65:4 (2010), 767–780  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

   2009
63. V. I. Pokotilo, A. A. Shkalikov, “Semiclassical Approximation for a Nonself-Adjoint Sturm–Liouville Problem with a Parabolic Potential”, Math. Notes, 86:3 (2009), 442–446  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
64. O. A. Veliev, A. A. Shkalikov, “On the Riesz Basis Property of the Eigen- and Associated Functions of Periodic and Antiperiodic Sturm–Liouville Problems”, Math. Notes, 85:6 (2009), 647–660  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
65. S. Albeverio, A.K. Motovilov and A.A. Shkalikov, “Bounds on variation of spectral subspaces under J-self-adjoint perturbations”, Integral Equations Operator Theory, 64:4 (2009), 455–486  crossref  mathscinet  zmath  isi  elib  scopus 20
66. Zh.Ben Amara, A. A. Shkalikov, “Ostsillyatsionnye teoremy dlya zadach Shturma-Liuvillya s potentsialami-raspredeleniyami”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 64:3 (2009), 43–49  mathnet  mathscinet  zmath 16
67. A. A. Shkalikov, “Teoriya vozmuscheniya dlya tochek diskretnogo spektra dissipativnykh operator-funktsii”, Differentsialnye uravneniya, 45:4 (2009), 564–574  mathscinet  zmath  elib 1
68. A. A. Shkalikov, “Problemy invaritantnykh podprostranstv i faktorizatsii v teorii operatorov”, Tr. Mezhd. konferentsii, posvyaschennoi 85-letiyu L.D.Kudryavtseva, Izd-vo fiz.-techn. in-ta, Moskva, 2009, 137–154
69. A. A. Shkalikov, “The papers of G.V.Radzievskii on completeness, minimality and basisness of root vectors of operator pencils. Ideas and developments”, Proceedings of Math. Inst. of Ukranian Acad. of Science, 6:1 (2009), 330–356  zmath
70. V. V. Aleksandrov, V. P. Karlikov, A. G. Kostyuchenko, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Viktor Antonovitch Sadovnichii (to 70th anniversary of the birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3, 3–6  mathnet  mathscinet

   2008
71. A. M. Savchuk, A. A. Shkalikov, “On the Properties of Maps Connected with Inverse Sturm–Liouville Problems”, Proc. Steklov Inst. Math., 260 (2008), 218–237  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2007
72. A. A. Shkalikov, “Dissipative Operators in the Krein Space. Invariant Subspaces and Properties of Restrictions”, Funct. Anal. Appl., 41:2 (2007), 154–167  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
73. E. A. Shiryaev, A. A. Shkalikov, “Regular and Completely Regular Differential Operators”, Math. Notes, 81:4 (2007), 566–570  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
74. A. A. Shkalikov, “Spectral analysis of the Redge problem.”, Journal of Mathematical Sciences, 144:4 (2007), 4292–4300  crossref  mathscinet  zmath  scopus 4

   2006
75. A. M. Savchuk, A. A. Shkalikov, “On the eigenvalues of the Sturm–Liouville operator with potentials from Sobolev spaces”, Math. Notes, 80:6 (2006), 814–832  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
76. M .I. Neiman-zade and A. A. Shkalikov, “Strongly elliptic operators with singular coefficients”, Russ. J. Math. Phys., 13:1 (2006), 70–78  crossref  mathscinet  zmath  isi  elib  scopus 23
77. A.G.Kostyuchenko, V.P.Maslov, V.A. Sadovnichii, I.S. Sargsyan, A.A.Shkalikov, V.V. Zhikov, “In memory of Boris Levitan”, Russ. J. Math. Phys., 13:1 (2006), 1–3  crossref  mathscinet  zmath  isi 1

   2005
78. A. A. Shkalikov, “Invariant Subspaces of Dissipative Operators in a Space with Indefinite Metric”, Proc. Steklov Inst. Math., 248 (2005), 287–296  mathnet  mathscinet  zmath
79. A. M. Savchuk, A. A. Shkalikov, “Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra”, Russ. J. Math. Phys., 12:4 (2005), 507–514  mathscinet  zmath  isi  elib 38
80. I. V. Astashova, L. A. Bagirov, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, O. B. Lupanov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Vladimir Aleksandrovich Kondrat'ev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5, 77–79  mathnet  mathscinet  zmath

   2004
81. R. O. Hryniv, A. A. Shkalikov, “Exponential Decay of Solution Energy for Equations Associated with Some Operator Models of Mechanics”, Funct. Anal. Appl., 38:3 (2004), 163–172  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
82. A. A. Shkalikov, “Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top.”, Functional analysis and its applications., Proceedings of the international conference, dedicated to the 110th anniversary of Stefan Banach (Lviv, Ukraine, May 28–31, 2002), North-Holland Mathematics Studies, 197, Elsevier Sci. B. V., Amsterdam, 2004, 273–286  crossref  mathscinet  zmath  scopus 2
83. A. A. Shkalikov, “Spectral Portraits of the Orr–Sommerfeld Operator with Large Reynolds Numbers”, Journal of Mathematical Sciences, 124:6 (2004), 5417–5441  mathnet  crossref  mathscinet  zmath

   2003
84. R. O. Hryniv, A. A. Shkalikov, “Exponential Stability of Semigroups Related to Operator Models in Mechanics”, Math. Notes, 73:5 (2003), 618–624  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
85. A. A. Shkalikov, “Differential equations in a Hilbert space with dissipative symbols”, Jour. Math. Sci., 114:4 (2003), 1571–1588  crossref  mathscinet 1
86. M. Marletta, A. A. Shkalikov and C. Tretter, “Pencils of differential operators containing the eigenvalue parameter in the boundary conditions”, Proc. Roy. Soc. Edinburgh Sect. A, 133:4 (2003), 893–917  crossref  mathscinet  zmath  isi  scopus 14
87. A. M. Savchuk, A. A. Shkalikov, “Sturm-Liouville operators with distribution potentials”, Translations of Moscow Mathematical Society, 64 (2003), 143–192  mathnet  mathnet  crossref  mathscinet  zmath
88. T. D. Venttsel', V. S. Vladimirov, V. V. Zhikov, A. M. Il'in, V. A. Il'in, V. A. Kondrat'ev, L. D. Kudryavtsev, E. F. Mishchenko, S. M. Nikol'skii, Yu. S. Osipov, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, L. D. Faddeev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Ol'ga Arsen'evna Oleinik (obituary)”, Russian Math. Surveys, 58:1 (2003), 161–172  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2002
89. A. V. D'yachenko, A. A. Shkalikov, “On a Model Problem for the Orr–Sommerfeld Equation with Linear Profile”, Funct. Anal. Appl., 36:3 (2002), 228–232  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
90. M. I. Neiman-Zade, A. A. Shkalikov, “On the computing of the eigenvalues of the Orr–Sommerfeld problem”, Fundam. Prikl. Mat., 8:1 (2002), 301–305  mathnet  mathscinet  zmath
91. S. N. Tumanov, A. A. Shkalikov, “On the limit behaviour of the spectrum of a model problem for the Orr–Sommerfeld equation with Poiseuille profile”, Izv. Math., 66:4 (2002), 829–856  mathnet  crossref  crossref  mathscinet  zmath  scopus
92. S. N. Tumanov, A. A. Shkalikov, “On the Spectrum Localization of the Orr–Sommerfeld Problem for Large Reynolds Numbers”, Math. Notes, 72:4 (2002), 519–526  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
93. A. A. Shkalikov, J. Bak, “Multipliers in Dual Sobolev Spaces and Schrödinger Operators with Distribution Potentials”, Math. Notes, 71:5 (2002), 587–594  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
94. Vladimirov A. A., Griniv R. O., Shkalikov A. A., “Spectral analysis of periodic differential matrices of mixed order”, Trans. Moscow Math. Soc., 2002,, 39–75  mathscinet  zmath

   2001
95. A. M. Savchuk, A. A. Shkalikov, “Trace Formula for Sturm–Liouville Operators with Singular Potentials”, Math. Notes, 69:3 (2001), 387–400  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
96. M. I. Neiman-zade, A. M. Savchuk and A. A. Shkalikov, “Schrödinger operators with singular potentials”, Spectral and evolution problems (Sevastopol, 2000), 11, Natl. Taurida Univ. “V. Vernadsky”, Simferopol, 2001, 3–8  mathscinet 1
97. A. G. Kostyuchenko and A. A. Shkalikov, “Scattering of waves by periodic gratings and factorization problems”, Recent advances in operator theory (Groningen, 1998), Oper. Theory Adv. Appl., 124, Birkhauser, Basel, 2001, 361–383  mathscinet  zmath
98. A. A. Shkalikov, “Spectral analysis of the Regge problem”, Russ. J. Math. Phys., 8:3 (2001), 356–364  mathscinet  zmath  isi 7

   2000
99. R. O. Hryniv, S. Yu. Dobrokhotov, A. A. Shkalikov, “An operator model for the oscillation problem of liquids on an elastic bottom”, Math. Notes, 68:1 (2000), 57–70  mathnet  crossref  mathscinet  zmath  isi
100. R. O. Hryniv, A. A. Shkalikov and A. A. Vladimirov, “Differential operator matrices of mixed order with periodic coefficients”, Differential operators and related topics, Vol. I (Odessa, 1997), Oper. Theory Adv. Appl., 117, Birkhauser, Basel, 2000, 155–164  mathscinet  zmath  isi 1

   1999
101. A. A. Shkalikov, “On the existence of invariant subspaces of dissipative operators in space with indefinite metric”, Fundam. Prikl. Mat., 5:2 (1999), 627–635  mathnet  mathscinet  zmath
102. A. M. Savchuk, A. A. Shkalikov, “Sturm–Liouville operators with singular potentials”, Math. Notes, 66:6 (1999), 741–753  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
103. M. I. Neiman-Zade, A. A. Shkalikov, “Schrödinger operators with singular potentials from spaces of multipliers”, Math. Notes, 66:5 (1999), 599–607  mathnet  crossref  crossref  mathscinet  zmath  isi
104. J. Ben Amara, A. A. Shkalikov, “A Sturm–Liouville problem with physical and spectral parameters in boundary conditions”, Math. Notes, 66:2 (1999), 127–134  mathnet  crossref  crossref  mathscinet  zmath  isi
105. R. O. Griniv, A. A. Shkalikov, “Operatornye modeli v teorii uprugosti i gidrodinamiki”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1999, no. 5, 5–14  mathnet  mathscinet  zmath 11

   1998
106. A. G. Kostyuchenko, A. A. Shkalikov, M. Yu. Yurkin, “On the Stability of a Top with a Cavity Filled with a Viscous Fluid”, Funct. Anal. Appl., 32:2 (1998), 100–113  mathnet  crossref  crossref  mathscinet  zmath  isi
107. A. A. Shkalikov, “Factorization of elliptic pencils and the Mandelstam hypothesis”, Contributions to operator theory in spaces with an indefinite metric (Vienna, 1995), Oper. Theory Adv. Appl., 106, Birkhauser, Basel, 1998, 355–387  mathscinet  zmath 1
108. R. Mennicken, H. Schmid and A. A. Shkalikov, “On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter”, Math. Nachr., 189 (1998), 157–170  crossref  mathscinet  zmath  isi  scopus 37
109. A. A. Shkalikov, “Kak opredelit operator Orra-Zommerfelda?”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 53:4 (1998), 36–43  mathnet  mathscinet  zmath 6

   1997
110. A. A. Shkalikov, “The limit behavior of the spectrum for large parameter values in a model problem”, Math. Notes, 62:6 (1997), 796–799  mathnet  crossref  crossref  mathscinet  zmath  isi

   1996
111. A. A. Shkalikov, “Operator pencils arising in elasticity and hydrodynamics: the instability index formula”, Recent developments in operator theory and its applications (Winnipeg, MB, 1994), Oper. Theory Adv. Appl., 87, Birkhauser, Basel, 1996, 358–385 http://istina.msu.ru/media/publications/article/226/775/4696607/Operator_Pencils_OpTh87.pdf  mathscinet  zmath 27
112. A. A. Shkalikov and C. Tretter, “Spectral analysis for linear pencils $ N -\lambda P$ of ordinary differential operators”, Math. Nachr., 179 (1996), 275–305  crossref  mathscinet  zmath  isi  scopus 47
113. R. Mennicken and A. A. Shkalikov, “Spectral decomposition of symmetric operator matrices”, Math. Nachr., 179 (1996), 259–273  hlocal  mathnet  crossref  mathscinet  zmath  isi  scopus 52

   1995
114. A. A. Shkalikov, “On the essential spectrum of matrix operators”, Math. Notes, 58:6 (1995), 1359–1362  mathnet  crossref  mathscinet  zmath  isi
115. R. Mennicken, H. Schmid and A. A. Shkalikov, “Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities”, Proceedings Int. Congress MTNS (Hamburg, 1993), Regensburg, 1995, 345–357
116. A. A. Shkalikov, “Boundary valkue problems with the spectral parameter in the boundary conditions”, Proceedings Int. Congress MTNS (Hamburg, 1993), Regensburg, 1995, 547–558  mathscinet 3

   1994
117. A. A. Shkalikov, R. O. Hryniv, “On an operator pencil arising in the problem of beam oscillation with internal damping”, Math. Notes, 56:2 (1994), 840–851  mathnet  crossref  mathscinet  zmath  isi
118. P. Lancaster and A. Shkalikov, “Damped vibrations of beams and related spectral problems”, Canad. Appl. Math. Quart., 2:1 (1994), 45–90  mathscinet  zmath 16
119. F. V. Atkinson, H. Langer, R. Mennicken, and A. A. Shkalikov, “The essential spectrum of some matrix operators”, Math. Nachr., 167 (1994), 5–20  crossref  mathscinet  zmath  isi  scopus 155
120. A. A. Shkalikov and C. Tretter,, “Kamke problems. Properties of the eigenfunctions”, Math. Nachr., 170 (1994), 251–275  crossref  mathscinet  isi  scopus 22
121. A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya”, UMN, 49:4 (1994), 165–166  mathscinet

   1993
122. A. A. Shkalikov, “On the property of being a basis, for the eigenfunctions of a problem on antiplanar oscillations of a cylinder with external friction”, Math. Notes, 53:2 (1993), 223–234  mathnet  crossref  mathscinet  zmath  isi
123. P. Lancaster, A. Shkalikov and Q. Ye, “Strongly definitizable linear pencils in Hilbert space”, Integral Equations Operator Theory, 17:3 (1993), 338–360  crossref  mathscinet  zmath  isi  scopus 38
124. A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya: izvestnoe i neizvestnoe”, UMN, 48:4(292) (1993), 210 http://www.mathnet.ru/links/c29f3ad924fe503997e8c6c6c41604c3/rm1456.pdf

   1991
125. A. A. Shkalikov, “The problem on the steady-state oscillations of a transversally isotropic semicylinder with a free boundary”, Funct. Anal. Appl., 25:2 (1991), 155–158  mathnet  crossref  mathscinet  zmath  isi

   1992
126. A. A. Shkalikov, A. V. Shkred, “The problem of steady-state oscillations of a transversally isotropic half-cylinder”, Math. USSR-Sb., 73:2 (1992), 579–602  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1989
127. A. A. Shkalikov, V. T. Pliev, “Compact perturbations of strongly damped operator pencils”, Math. Notes, 45:2 (1989), 167–174  mathnet  crossref  mathscinet  zmath  isi

   1990
128. Shkalikov A. A., “Elliptic equations in a Hilbert space and related spectral problems”, J. Soviet Math., 51:4 (1990), 2399–2467  mathscinet  zmath

   1989
129. A. A. Shkalikov, “Obosnovanie gipotezy Mandelshtama dlya volnoveduschikh sistem”, Byulleten Sib. matematichenskogo obschestva, 1989, 18-81
130. A. A. Shkalikov, “O faktorizatsii elliptiicheskikh puchkov i vychislenii koeffitsientov razlozheniya po sobstvennym elementam faktorov”, UMN, 44:4 (1989), 189-190
131. A. A. Shkalikov, “Strongly damped pencils of operators and solvability of the corresponding operator-differential equations”, Math. USSR-Sb., 63:1 (1989), 97–119  mathnet  crossref  mathscinet  mathscinet  zmath

   1988
132. A. A. Shkalikov, “O printsipakh otbora i svoistvakh chasti sobstvennykh i prisoedinennykh elementov puchkov operatorov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1988, no. 4, 16–25  mathnet  mathscinet  mathscinet  zmath 5

   1987
133. A. A. Shkalikov, “O printsipakh otbora i svoistvakh sobstvennykh i prisoedinennykh elementov puchkov operatorov”, UMN, 42:4 (1987), 127–128  mathnet 13
134. A. A. Shkalikov, “O postanovke i razreshimosti zadach dlya uravneniya volnovoda v polutsilindre”, UMN, 42:5 (1987)

   1986
135. A. A. Shkalikov, “O minimalnosti i polnote sobstvennykhelementov puchkov operatorov vysokogo poryadka”, KhI Vsesoyuznaya shkola po teorii operatorov v funktsionalnykh prostranstvakh, Chelyabinsk, 1986, 78-79
136. A. A. Shkalikov, “Puchki operatorov s dissipativnymi koeffitsientami i sootvetstvuyuschipe im uravneniya v gilbertovom prostranstve”, Vsesoyuznaya konferentsiya “Differentsialnye operatory i ikh prilozheniya” (Fshkhadad), 1986, 121–122

   1985
137. A. A. Shkalikov, “O polnote i minimalnosti sobstvennykh funktsii zadachi Redzhe”, Teoriya veroyatnostei , teoriya sluchainykh protsessov i funktsionalnyi analiz, Izd-vo MGU, 1985, 167–172  mathscinet
138. A. A. Shkalikov, “On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils”, Doklady Mathematics, 32:1 (1985), 298–304 http://istina.msu.ru/media/publications/article/0db/066/19490295/eng_SovietMathDokl_Vol321_1985.pdf  mathnet  mathscinet  mathscinet  zmath
139. A. A. Shkalikov, “O minimalnosti proizvodnykh tsepochek, otvechayuschikh chasti sobstvennykh i prisoedinennykh elementov samosopryazhennnykh puchkov operatorov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1985, no. 6, 10–19 http://istina.msu.ru/media/publications/article/4ee/9bd/4688220/VestnikMGU_6_1985.pdf  mathnet  mathscinet  mathscinet  zmath  zmath 1
140. A. A. Shkalikov, “On minimality and completeness of systems constructed from some of the eigen- and associated elements of quadratic operator pencils”, Doklady Mathematics, 32:3 (1985), 902–907 http://istina.msu.ru/media/publications/article/1da/220/19490338/eng_Soviet_MathDokl_V323_1985.pdf  mathnet  mathscinet  zmath
141. A. A. Shkalikov, “Theorems of Tauberian type on the distribution of zeros of holomorphic functions”, Math. USSR-Sb., 51:2 (1985), 315–344  mathnet  crossref  mathscinet  mathscinet  zmath  isi

   1984
142. A. A. Shkalikov, “Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution”, Transactions of the American Mathematical Society, 281:1 (1984), 49–63 http://istina.msu.ru/media/publications/article/4f7/348/4688257/eng_Trans_of_the_Amer_Math_Soc_Vol2811_1984.pdf  crossref  mathscinet  zmath  isi  scopus 2
143. A. A. Shkalikov, “Operator differential equations on a semiaxes and related spectral problems for selfadjoint pencils of operators”, Doklady Mathematics, 29:3 (1984), 511–516 http://istina.msu.ru/…/eng_SovietMatDokl_Vol293_1984.pdf  mathnet  mathscinet  mathscinet  zmath
144. Shkalikov A. A., “On the property of being a basis of eigenvectors of ordinary differential operators in a space of vector-functions”, Functional analysis and its applications in mechanics and probability theory, Moskov. Gos. Univ., Moscow, 1984, 166–168  mathscinet
145. A. G. Kostyuchenko, A. A. Shkalikov, “K spektralnoi teorii kvadratichnykh puchkov operatorov”, UMN, 39:4 (1984), 106–1