Persons: Shishkina Elina Leonidovna, List of publications

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Shishkina Elina Leonidovna

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2026
1.	E. L. Shishkina, “A semigroup approach to the fractional power of the Laplace–Bessel operator”, Comput. Math. Math. Phys., 66:5 (2026), 804–815
2.	A. L. Dzhabrailov, E. L. Shishkina, “On applications of the generalized Bessel potential to solving the singular fractional Schrödinger equation and capacity theory”, Differential and functional differential equations, CMFD, 72, no. 1, PFUR, M., 2026, 52–67

2025
3.	A. A. Mahamoud, E. L. Shishkina, “Сauchy – euler equation: integer and fractional orders”, Applied Mathematics & Physics, 57:3 (2025), 172–185
4.	O. G. Avsyankin, V. P. Burskii, V. V. Goryainov, V. P. Zastavnyi, A. Yu. Ivanov, A. A. Kovalevsky, S. V. Konyagin, D. V. Lymanskyi, A. D. Manov, P. A. Masharov, L. L. Oridoroga, I. P. Polovinkin, S. M. Sitnik, È. L. Shishkina, “Valerii Vladimirovich Volchkov (on his sixtieth birthday)”, Russian Math. Surveys, 80:2 (2025), 359–364
5.	E. G. Bakhtigareeva, O. V. Besov, V. I. Burenkov, E. I. Galakhov, T. E. Denisova, A. N. Karapetyants, G. Zh. Karshygina, A. G. Kusraev, G. G. Magaril-Il'yaev, A. B. Muravnik, K. Yu. Osipenko, V. M. Savchin, S. M. Sitnik, A. L. Skubachevskii, E. O. Sivkova, V. D. Stepanov, V. M. Tikhomirov, E. P. Ushakova, E. L. Shishkina, “Mikhail Lvovich Goldman (13.04.1945–05.07.2025)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 143–144
6.	S. N. Askhabov, A. N. Karapetyants, V. V. Kravchenko, I.K. Marchevsky, A. B. Muravnik, S. V. Rogozin, T. M. Sadykov, S. M. Sitnik, P. G. Tenishchev, E. L. Shishkina, “O. I. Marichev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 139–142
7.	S. V. Rogozin, S. M. Sitnik, E. L. Shishkina, “About the scientific activities of Oleg Igorevich Marichev: to the 80th anniversary”, Chelyab. Fiz.-Mat. Zh., 10:4 (2025), 609–633

2024
8.	E. L. Shishkina, A. Khitam, A. M. Qudosi, S. M. Sitnik, “Applications of transmutations of vekua – erd´elyi - lowndes type to differential equations”, Applied Mathematics & Physics, 56:1 (2024), 27–34
9.	A. Ya. Belov, V. M. Buchstaber, V. B. Vasilyev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamyi, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)”, Chebyshevskii Sb., 25:2 (2024), 5–19

2023
10.	A. L. Dzhabrailov, E. L. Shishkina, “On the generalized Bessel potential and perfect functional completion”, Vestn. St. Petersbg. Univ., Math., 10:2 (2023), 200–211
11.	A. V. Dzarakhohov, E. L. Shishkina, “The problem for a mixed equation with fractional power of the Bessel operator”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 42:1 (2023), 37–57
12.	A. V. Dzarakhohov, E. L. Shishkina, “Solution to the fractional order Euler–Poisson–Darboux equation”, 64, no. 3, 2023, 707–719
13.	A. L. Dzhabrailov, E. L. Shishkina, “On the theory of spaces of generalized Bessel potentials”, 64, no. 4, 2023, 968–981

2022
14.	A. L. Dzhabrailov, E. L. Shishkina, “Connection between generalized bessel potentials and solutions to the singular heat equation”, Applied Mathematics & Physics, 54:2 (2022), 89–97

2021
15.	D. K. Durdiev, E. L. Shishkina, S. M. Sitnik, “Fractional powers of Bessel operator and its numerical calculation”, Chelyab. fiz.-matem. zhurn., 6:2 (2021), 172–189 ;
16.	E. L. Shishkina, S. M. Sitnik, I. Jebabli, “Application of integral transforms composition method (ITCM) to obtaining transmutations via integral transforms with Bessel functions in kernels”, Sib. elektron. matem. izv., 18:2 (2021), 884–900 ;	3 ^[x]
17.	S. M. Sitnik, E. L. Shishkina, “On two classes of operators of generalized fractional integro-differentiation”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 109–122
18.	Kh. Alzamili, E. L. Shishkina, “Weighted homogeneous distribution and its applications”, Applied Mathematics & Physics, 53:4 (2021), 301–311
19.	S. M. Sitnik, E. L. Shishkina, “Review of the monograph: V. V. Kravchenko direct and inverse Sturm - Liouville problems. springer, 2020, in english. language. (with a brief outline of the development of the theory of inverse problems for the Sturm - Liouville equation)”, Applied Mathematics & Physics, 53:1 (2021), 73–84
20.	E. L. Shishkina, “General formula of inversion of weighted spherical mean”, Applied Mathematics & Physics, 53:1 (2021), 13–30

2019
21.	E. L. Shishkina, “General Euler–Poisson–Darboux equation and hyperbolic $B$-potentials”, Partial differential equations, CMFD, 65, no. 2, PFUR, M., 2019, 157–338
22.	E. L. Shishkina, S. M. Sitnik, “A Fractional Equation with Left-Sided Fractional Bessel Derivatives of Gerasimov–Caputo Type”, Mathematics, 7:12, 1216 (2019), 1-21	22 ^[x]
23.	E. L. Shishkina, “The Dirichlet problem for an elliptic singular equation”, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 1-10	3 ^[x]
24.	E. L. Shishkina, “Generalized divergent theorem and second Green identity of $B-$elliptic and $B-$hyperbolic operators”, Applied Mathematics & Physics, 51:4 (2019), 506–513

2018
25.	E. L. Shishkina, “Properties of Mixed Hyperbolic B–Potential”, Progress in Fractional Differentiation and Applications, 4:2 (2018), 83-98 http://www.naturalspublishing.com/Article.asp?ArtcID=13666	5 ^[x]
26.	E. L. Shishkina, “Singular Cauchy problem for the general Euler-Poisson-Darboux equation”, Open Mathematics, 16:1 (2018), 23–31 (Published online) https://www.degruyter.com/view/j/math.2018.16.issue-1/math-2018-0005/math-2018-0005.xml	9 ^[x]
27.	E. L. Shishkina, “Generalized Euler-Poisson-Darboux equation and singular Klein–Gordon equation”, Journal of Physics: Conference Series, 973:1 (2018), 1-20 http://iopscience.iop.org/article/10.1088/1742-6596/973/1/012058/pdf	5 ^[x]
28.	S. M. Sitnik, E. L. Shishkina, “On fractional powers of the Bessel operator on semiaxis”, Sib. Èlektron. Mat. Izv., 15:1 (2018), 1-10 http://semr.math.nsc.ru/v15/p1-10.pdf, arXiv: https://arxiv.org/pdf/1706.01928.pdf
29.	E. L. Shishkina, M. Karabacak, “Singular Cauchy problem for generalized homogeneous Euler-Poisson-Darboux equation”, Matematicheskie zametki SVFU, 25:2 (2018), 85-96 https://www.s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/issues/2018-2/85-96.pdf	3 ^[x]
30.	A. V. Kuznetsov, E. L. Shishkina, S. M. Sitnik, “Probabilistic Properties of Near-Optimal Trajectories of an Agent Moving Over a Lattice”, Journal of Optimization Theory and Applications, 2018, 1-17 (Published online) https://link.springer.com/article/10.1007	1 ^[x]
31.	A. Fitouhi, I. Jebabli, E. L. Shishkina, S. M. Sitnik, “Applications of the integral transforms composition method to wave-type singular differential equations and index shift transmutations”, Electronic Journal of Differential Equations, 2018:130 (2018), 1-27 https://ejde.math.txstate.edu/Volumes/2018/130/abstr.html, arXiv: https://arxiv.org/abs/1805.06925
32.	V. V. Kravchenko, E. L. Shishkina, S. M. Torba, “On a Series Representation for Integral Kernels of Transmutation Operators for Perturbed Bessel Equations”, Math. Notes, 104:4 (2018), 530–544
33.	E. L. Shishkina, “Solution of the singular Cauchy problem for a general inhomogeneous Euler–Poisson–Darboux equation”, Carpathian Journal of Mathematics, 34:2 (2018), 255- 267 pp.	8 ^[x]
34.	I. P. Polovinkin, E. L. Shishkina, S. M. Sitnik, “Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation”, Journal of Inverse and Ill-posed Problems, 2018, 10.1515/jiip-2017-0112 (Published online), 23 pp.	2 ^[x]
35.	E. L. Shishkina, S. Abbas, “Method of Riesz potentials applied to solution to nonhomogeneous singular wave equations”, Matematicheskie zametki SVFU, 25:3 (2018), 68–91 ;	1 ^[x]

2017
36.	D. S. Donchev, S. M. Sitnik, E. L. Shishkina, “On refinements of neo-classical inequality and its applications to stochastic differential equations and Brownian motion”, Chelyab. Fiz.-Mat. Zh., 2:3 (2017), 257–265
37.	E. L. Shishkina, “Inversion of the mixed Riesz hyperbolic B-potentials”, International Journal of Applied Mathematics, 30:6 (2017), 487-500 http://diogenes.bg/ijam/contents/2017-30-6/3/	10 ^[x]
38.	E. L. Shishkina, S. M. Sitnik, “General form of the Euler-Poisson-Darboux equation and application of the transmutation method”, Electron. J. Differential Equations, 2017, 177, 1-20 https://ejde.math.txstate.edu/Volumes/2017/177/shishkina.pdf, arXiv: arXiv:1707.04733
39.	E. L. Shishkina, S. M. Sitnik, “On fractional powers of Bessel operators”, Journal of Inequalities and Special Functions, 8:1 (2017), 49-67 http://www.ilirias.com/jiasf/repository/docs/JIASF8-1-5.pdf, arXiv: arXiv:1703.02232
40.	E. L. Shishkina, “Vesovye obobschënnye funktsii, otvechayuschie kvadratichnoi forme s kompleksnymi koeffitsientami”, Chelyabinskii fiziko-matematicheskii zhurnal, 2:1 (2017), 88-98 http://cpmj.csu.ru/index.php/cpmj/article/view/66	4 ^[x]
41.	D. S. Donchev, S. M. Sitnik., E. L. Shishkina, “Ob obobschenii binominalnoi teoremy, voznikayuschem v teorii differentsialnykh uravnenii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika. Fizika., 49:27 (276) (2017), 19-25 https://cyberleninka.ru/article/n/ob-obobschenii-binominalnoy-teoremy-voznikayuschem-v-teorii-differentsialnyh-uravneniy
42.	S. M. Sitnik, E. L. Shishkina, “Drobnye stepeni operatora Besselya na poluosi i ikh svoistva”, Nekotorye aktualnye problemy sovremennoi matematiki i matematicheskogo obrazovaniya Materialy nauchnoi konferentsii, Rossiiskii gosudarstvennyi pedagogicheskii universitet im. A.I. Gertsena, Sankt-Peterburg, 2017, 144-150

2016
43.	L. N. Lyakhov, E. L. Shishkina, “Weighted mixed spherical means and singular ultrahyperbolic equation”, Analysis: International mathematical journal of analysis and its applications, 36:2 (2016), 65-70 https://www.degruyter.com/view/j/anly.2016.36.issue-2/anly-2015-5006/anly-2015-5006.xml	3 ^[x]
44.	E. L. Shishkina, “On weighted generalized functions associated with quadratic forms”, Probl. Anal. Issues Anal., 5 (23):2 (2016), 52-68 http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=3390, arXiv: 1612.07907	8 ^[x]
45.	S. M. Sitnik, E. L. Shishkina, “On an identity for the iterated weighted spherical mean and its applications 13 (2016), 849–860”, Sib. Èlektron. Mat. Izv., 13 (2016), 849–860
46.	E. L. Shishkina, “On the boundedness of hyperbolic Riesz B-potential”, Lithuanian Mathematical Journal, 56:4 (2016), 540–551 https://link.springer.com/article/10.1007/s10986-016-9335-y	7 ^[x]
47.	L. N. Lyakhov, I. P. Polovinkin, E. L. Shishkina, “Accompanying Distributions of Singular Differential Operators”, Journal of Mathematical Sciences, 219:2 (2016), 184–189 https://link.springer.com/article/10.1007/s10958-016-3095-4	2 ^[x]
48.	E. L. Shishkina, “O svoistvakh odnogo usrednyayuschego yadra v vesovom klasse Lebega”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika. Fizika., 42:6 (227) (2016), 12-19 https://cyberleninka.ru/article/n/o-svoystvah-odnogo-usrednyayuschego-yadra-v-vesovom-klasse-lebega
49.	E. L. Shishkina, “Integralnoe predstavlenie yadra operatora, approksimiruyuschego obratnyi operator dlya giperbolicheskogo V-potentsiala Rissa”, Vestnik Tambovskogo universiteta. Seriya: Estestvennye i tekhnicheskie nauki, 21:2 (2016), 450-458 http://journals.tsutmb.ru/go/1810-0198/2016/2/450-458/
50.	O. P. Barabash, E. L. Shishkina, “Reshenie obschego uravneniya Eilera–Puassona–Darbu, soderzhaschee operator Besselya po vsem peremennym”, Vestnik Tambovskogo universiteta. Seriya: Estestvennye i tekhnicheskie nauki., 21:6 (2016), 2146-2151 http://journals.tsutmb.ru/go/1810-0198/2016/6/2146-2151/
51.	E. L. Shishkina, “On weighted generalized functions associated with quadratic forms”, Probl. Anal. Issues Anal., 5(23):2 (2016), 52–68	8 ^[x]
52.	E. L. Shishkina, “About properties of the averaging kernel in the Lebesgue weighted class”, Applied Mathematics & Physics, 42:6 (2016), 12–19

2014
53.	L. N. Lyakhov, I. P. Polovinkin, E. L. Shishkina, “On a Kipriyanov problem for a singular ultrahyperbolic equation”, Differential Equations, 50:4 (2014), 513-525 https://link.springer.com/article/10.1134/S0012266114040090	23 ^[x]
54.	L. N. Lyakhov, I. P. Polovinkin, E. L. Shishkina, “Formulas for the solution of the Cauchy problem for a singular wave equation with Bessel time operator”, Doklady Mathematics, 90:3 (2014), 737-742 https://link.springer.com/article/10.1134	20 ^[x]

2013
55.	E. L. Shishkina, “Equality for iterated weighted spherical means generated by generalized translation”, Some current problems in modern mathematics and education in mathematics (St. Petersburg), Izdat. RGPU im. A. I. Gertsena, 2013, 143-145

2009
56.	E. L. Shishkina, “Inversion of integral of B-potential type with density from Φγ”, Journal of Mathematical Sciences, 160:1 (2009), 95-102 https://link.springer.com/article/10.1007/s10958-009-9487-y	6 ^[x]
57.	L. N. Lyakhov, E. L. Shishkina, “Inversion of general Riesz B-potentials with homogeneous characteristic in weight classes of functions”, Doklady Mathematics, 79:3 (2009), 377–381 https://link.springer.com/article/10.1134	1 ^[x]

2007
58.	L. N. Lyakhov, E. L. Shishkina, “General B-hypersingular integrals with homogeneous characteristic”, Doklady Mathematics, 75:1 (2007), 39-43 https://link.springer.com/article/10.1134	5 ^[x]

2006
59.	L. N. Lyakhov, E. L. Shishkina, “Generalized Riesz B-potentials of the mixed type”, Doklady Mathematics, 73:1 (2006), 42-45	3 ^[x]
60.	E. L. Shishkina, “Obobschennaya vesovaya funktsiya r^\lambda”, Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Fizika. Matematika, 2006, no. 1, 215-221 http://www.vestnik.vsu.ru/pdf/physmath/2006/01/shishkina_rus.pdf