RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 
Shishkina, Elina Leonidovna

Total publications: 38 (38)
in MathSciNet: 23 (23)
in zbMATH: 18 (18)
in Web of Science: 19 (19)
in Scopus: 22 (22)
Cited articles: 26
Citations in Math-Net.Ru: 17
Citations in Web of Science: 54
Citations in Scopus: 110
Presentations: 4

Number of views:
This page:1612
Abstract pages:926
Full texts:241
References:119
Shishkina, Elina Leonidovna
Associate professor
Doctor of physico-mathematical sciences (2019)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 26.11.1980
E-mail: ,
Keywords: potential type operators, fractional differentiation, weighted singular integrals, besselian operator, weight class of functions, fractional derivatives, fractional integrals.
UDC: 517.954, 517.958, 517.968, 517.983.34
MSC: 44 A

Subject:

Differential equations with singularities and of fractional order, potential theory, differential equations in probability theory, fractional calculus, special functions

Biography

Graduated from the Department Mathematics of Voronezh State University (VSU) in 1953. The M.Sc. thesis was supervised by prof. O. M. Penkin. In 2004?06, taught in the Department of the Higher Mathematics of the Voronezh State Technological Academy (VSTA). Simultaneously, was a postgraduate student under supervision by prof. L. N. Lyakhov (2004?06). Defended the Ph.D. thesis in 2006. Since August 2006, taught first in "Quality Control and Machine-Building Technology Department" VSTA, since February 2008 in the mathematical department of the Voronezh State Forestry Engineering Academy. Simultaneously, since 2007 have taught in the Department of the Differential Equations of the VSU. Gave many talks on mathematical seminars and conferences in Russia and abroad.

   
Main publications:
  1. Lyakhov L. N., Shishkina E. L., “Generalized Riesz B-Potentials of the Mixed Type”, Doklady Mathematics, 73:1 (2006), 42–45  crossref  mathscinet  zmath; Original Russian Text: L. N. Lyakhov, E. L. Shishkina, Doklady Akademii Nauk, 406:3 (2006), 303–307  mathscinet  zmath
  2. Shishkina E. L., “Weighting Distribution $r^\lambda$”, Proceeding of Voronezh State University Series: Phisics, Mathematics, 2006, № 1, 215–221
  3. Lyakhov L. N., Shishkina E. L., “General B-Hypersingular Integrals with Homogeneous Characteristic”, Doklady Mathematics, 75:1 (2007), 39–43  crossref  mathscinet; Original Russian Text: L. N. Lyakhov, E. L. Shishkina, Doklady Akademii Nauk, 412:2 (2007), 162–166  mathscinet
  4. Sitnik S.M., Shishkina E.L., “On fractional powers of Bessel operators on half-axes”, Siberian Electronic Mathematical Reports, 2018, № 15, 1–10
  5. Shishkina E.L., Sitnik S.M., “General form of the Euler–Poisson–Darboux equation and application of the transmutation method”, Electronic Journal of Differential Equations, 2017, № 177, 1–20

http://www.mathnet.ru/eng/person47099
http://scholar.google.com/citations?user=e0cGBMEAAAAJ&hl=en
http://zbmath.org/authors/?q=ai:shishkina.elina-leonidovna
https://mathscinet.ams.org/mathscinet/MRAuthorID/795195
http://elibrary.ru/author_items.asp?spin=8731-8301
http://orcid.org/0000-0003-4083-1207
https://publons.com/researcher/1478787
http://www.researcherid.com/rid/M-5413-2015
http://www.scopus.com/authid/detail.url?authorId=13005142800
https://www.researchgate.net/profile/Elina_Shishkina3
https://arxiv.org/a/shishkina_e_1

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |


1. 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  mathscinet  isi (cited: 10)  elib
2. 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  crossref  mathscinet  zmath  isi (cited: 10)  elib  scopus (cited: 17)
3. 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  crossref  mathscinet  zmath  isi (cited: 8)  elib  scopus (cited: 11)
4. 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  crossref  mathscinet  zmath  isi (cited: 5)  elib  scopus (cited: 8)
5. 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  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 5)
6. L. N. Lyakhov, E. L. Shishkina, “Generalized Riesz B-potentials of the mixed type”, Doklady Mathematics, 73:1 (2006), 42-45  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 7)
7. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
8. 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  mathnet  crossref  crossref  isi (cited: 2)  elib  scopus (cited: 3)
9. 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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
10. 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  crossref  isi (cited: 1)
11. 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  mathscinet  zmath  isi (cited: 1)  scopus (cited: 8)
12. 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  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 14)
13. 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  mathnet (cited: 2)  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 2)
14. E. L. Shishkina, “On weighted generalized functions associated with quadratic forms”, Probl. Anal. Issues Anal., 5(23):2 (2016), 52–68  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 2)
15. 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  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
16. 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  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 5)
17. E. L. Shishkina, “General Euler–Poisson–Darboux equation and hyperbolic $B$-potentials”, Partial differential equations, CMFD, 65, no. 2, PFUR, M., 2019, 157–338  mathnet  crossref
18. E. L. Shishkina, “The Dirichlet problem for an elliptic singular equation”, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 1-10  crossref  isi  scopus (cited: 1)
19. 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  crossref  scopus (cited: 3)
20. 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  crossref  mathscinet  isi  elib  scopus (cited: 4)
21. 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  mathnet  crossref  zmath  elib
22. 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  crossref  isi  scopus (cited: 1)
23. 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.  mathscinet  zmath
24. 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.  crossref  mathscinet  isi  scopus
25. 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  mathnet  mathscinet  elib
26. 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/  crossref  mathscinet  elib  scopus (cited: 5)
27. 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  mathnet (cited: 3)  mathscinet  elib
28. 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  elib
29. 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  elib
30. 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  crossref  mathscinet  zmath  elib  scopus (cited: 2)
31. 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  crossref  mathscinet  zmath  elib  scopus (cited: 1)
32. 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  elib
33. 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/  crossref  elib
34. 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/  crossref  elib
35. 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  mathscinet
36. 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  crossref  mathscinet  zmath  elib  scopus (cited: 5)
37. 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  zmath  elib
38. 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  mathnet  crossref

Presentations in Math-Net.Ru
1. Метод композиционных интегральных преобразований для сингулярных дифференциальных уравнений с оператором Бесселя и его дробными степенями
E. L. Shishkina
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 25, 2018 11:00
2. "Метод композиционных интегральных преобразований для сингулярных дифференциальных уравнений с оператором Бесселя и его дробными степенями"
E. L. Shishkina
Seminar on analytic theory of differential equations
October 24, 2018 14:30
3. Обращение гиперболических В-потенциалов Рисса
E. L. Shishkina
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
February 14, 2018 16:00   
4. The ratio of Asgeirsson-Kipriyanov for the general ultra-hyperbolic equations
L. N. Lyakhov, I. P. Polovinkin, E. L. Shishkina
International Conference on Differential Equations and Dynamical Systems
July 5, 2014 12:20

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020