01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
20.02.1986
E-mail:
Keywords:
Banach space,
integro-differential equation,
Fredholm operator,
Jordan set,
distribution,
fundamental operator-function,
initial boundary value problem.
Subject:
Abstract integro-differential equations with degenerating
Biography
I graduated from the Institute of Mathematics, Economics and Informatics (IMEI) of the Irkutsk State University (ISU) in 2008. Ph. D. thesis was defended in 2013. I work at the Department of Mathematical Analysis and Differential Equations IMEI ISU from 2009 to the present time, occupying the post of lecturer (since 2009), senior lecturer (since 2011), Associate Professor (2014). I am the author of over 40 scientific publications.
Main publications:
Orlov S. S., Generalized Solutions of Integro-Differential Equations of Higher Orders in Banach Spaces, ISU Publ., Irkutsk, 2014
Falaleev M. V., Orlov S. S., “Degenerate integro-differential operators in Banach spaces and their applications”, Russian Mathematics, 55:10 (2011), 59–69
Orlov S. S., “Initial boundary value problem for nonclassical equations of mathematical theory of elasticity”, Modern Technologies. System Analysis. Modelling, 29:1 (2011), 21–29
S. S. Orlov, O. S. Budnikova, M. N. Botoroeva, “Multi-step methods for the numerical solution of integro-algebraic equations with two singularities in the kernel”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204 (2022), 104–114
2021
2.
M. N. Botoroeva, O. S. Budnikova, M. V. Bulatov, S. S. Orlov, “Numerical solution of integral-algebraic equations with a weak boundary singularity by $k$-step methods”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1825–1838; Comput. Math. Math. Phys., 61:11 (2021), 1787–1799
A. L. Kazakov, Sv. S. Orlov, S. S. Orlov, “Construction and study of exact solutions to a nonlinear heat equation”, Sibirsk. Mat. Zh., 59:3 (2018), 544–560; Siberian Math. J., 59:3 (2018), 427–441
M. V. Malyutina, S. S. Orlov, “Periodic solution of generalized Abel integral equation of the first kind”, University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 4, 58–69
2016
5.
S. S. Orlov, “Degenerate Volterra equations of convolution type in Banach spaces and their applications”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:3 (2016), 52–63
2014
6.
S. S. Orlov, “On the order of singularity of the generalized solution of the Volterra integral equation of convolutional type in Banach spaces”, Bulletin of Irkutsk State University. Series Mathematics, 10 (2014), 76–92
S. S. Orlov, “The solvability of Volterra integro-differential equations with Fredholm operator in main part”, Bulletin of Irkutsk State University. Series Mathematics, 5:3 (2012), 73–93
M. V. Falaleev, S. S. Orlov, “Generalized solutions of singular integro-differential equations in Banach spaces and their applications”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012), 286–297
M. V. Falaleev, S. S. Orlov, “Integro-differential equations with degeneration in Banach spaces and it's applications in mathematical theory of elasticity”, Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011), 118–134
M. V. Falaleev, S. S. Orlov, “Degenerate integro-differential operators in Banach spaces and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 68–79; Russian Math. (Iz. VUZ), 55:10 (2011), 59–69
M. V. Falaleev, S. S. Orlov, “Degenerated integro-differential equations of special kind in Banach spaces and it's applications”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 7, 100–110
S. S. Orlov, “Degenerated integro-differential equation in Banach spaces and its application”, Bulletin of Irkutsk State University. Series Mathematics, 3:1 (2010), 54–60
M. V. Falaleev, A. V. Krasnik, S. S. Orlov, “Degenerate high-order differential equations of a special kind in Banach spaces and their applications”, Sib. Zh. Ind. Mat., 13:3 (2010), 126–139
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