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 2025 |
| 1. |
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    |
| 2. |
V. N. Sivkin, A. A. Shkalikov, Mat. Zametki, 118:2 (2025), 299–319 |
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| 2024 |
| 3. |
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  |
| 4. |
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 |
| 5. |
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 |
| 6. |
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 |
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| 2023 |
| 7. |
N. N. Konechnaja, K. A. Mirzoev, A. A. Shkalikov, “Asymptotics of Solutions of Two-Term Differential Equations”, Math. Notes, 113:2 (2023), 228–242 |
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| 2024 |
| 8. |
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 |
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| 2023 |
| 9. |
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  |
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| 2022 |
| 10. |
Ya. A. Granilshchikova, A. A. Shkalikov, “Spectral properties of a differential operator with involution”, Moscow University Mathematics Bulletin, 77:4 (2022), 204–208  |
| 11. |
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 |
| 12. |
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 |
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| 2021 |
| 13. |
A. A. Shkalikov, “Regular spectral problems for systems of ordinary differential equations of the first order”, Russian Math. Surveys, 76:5 (2021), 939–941  |
| 14. |
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 |
| 15. |
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 |
| 16. |
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  |
| 17. |
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 |
| 18. |
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 |
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| 2020 |
| 19. |
A. M. Savchuk, A. A. Shkalikov, “Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients”, Sb. Math., 211:11 (2020), 1623–1659 |
| 20. |
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 |
| 21. |
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. |
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| 2019 |
| 22. |
V. E. Vladykina, A. A. Shkalikov, “Spectral Properties of Ordinary Differential Operators with Involution”, Doklady Mathematics, 99:1 (2019), 5–10 |
| 23. |
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 |
| 24. |
V. E. Vladykina, A. A. Shkalikov, “Regular Ordinary Differential Operators with Involution”, Math. Notes, 106:5 (2019), 674–687 |
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| 2020 |
| 25. |
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 |
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| 2018 |
| 26. |
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 |
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| 2019 |
| 27. |
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 |
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| 2018 |
| 28. |
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 |
| 29. |
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 |
| 30. |
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. |
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| 2017 |
| 31. |
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 |
| 32. |
D. V. Treschev, A. A. Shkalikov, “On the Hamiltonian Property of Linear Dynamical Systems in Hilbert Space”, Math. Notes, 101:6 (2017), 1033–1039 |
| 33. |
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 |
| 34. |
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 |
| 35. |
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 |
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| 2016 |
| 36. |
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 |
| 37. |
K. A. Mirzoev, A. A. Shkalikov, “Differential Operators of Even Order with Distribution Coefficients”, Math. Notes, 99:5 (2016), 779–784 |
| 38. |
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 |
| 39. |
A. A. Shkalikov, “Perturbations of self-adjoint and normal operators with discrete spectrum”, Russian Math. Surveys, 71:5 (2016), 907–964 |
| 40. |
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 |
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| 2015 |
| 41. |
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 |
| 42. |
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 |
| 43. |
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 |
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| 2014 |
| 44. |
T. Kappeler, A. M. Savchuk, P. Topalov, A. A. Shkalikov, “Interpolation of Nonlinear Maps”, Math. Notes, 96:6 (2014), 957–964 |
| 45. |
Math. Notes, 96:5 (2014), 777–810 |
| 46. |
V. V. Zhikov, A. A. Shkalikov, “In memory of Boris Moiseevich Levitan (1914–2004)”, Trans. Moscow Math. Soc., 75 (2014), 87–88 |
| 47. |
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 |
| 48. |
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 |
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| 2013 |
| 49. |
A. M. Savchuk, A. A. Shkalikov, “On the Interpolation of Analytic Mappings”, Math. Notes, 94:4 (2013), 547–550 |
| 50. |
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 |
| 51. |
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 |
| 52. |
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 |
| 53. |
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 |
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| 2012 |
| 54. |
A. A. Shkalikov, “Eigenvalue Asymptotics of Perturbed Self-adjoint Operators”, Methods of Functional Analysis and Topology, 18:1 (2012), 89–102 |
|
| 2010 |
| 55. |
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 |
| 56. |
A. A. Shkalikov, “On the basis property of root vectors of a perturbed self-adjoint operator”, Proc. Steklov Inst. Math., 269 (2010), 284–298 |
| 57. |
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 |
|
| 2009 |
| 58. |
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 |
| 59. |
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 |
| 60. |
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 |
| 61. |
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 |
| 62. |
A. A. Shkalikov, “Teoriya vozmuscheniya dlya tochek diskretnogo spektra dissipativnykh operator-funktsii”, Differentsialnye uravneniya, 45:4 (2009), 564–574 |
| 63. |
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 |
| 64. |
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 |
| 65. |
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 |
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| 2008 |
| 66. |
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 |
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