01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords:
Elliptic equations, polyhormanic equations, Dirichlet problem, Neumann problem, boundary value problems, solvability of the problem
UDC:
517.95
Subject:
Solvability of boundary value problems for higher-order elliptic equations,
representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball
Main publications:
T. Sh. Kalmenov, B. D. Koshanov, “Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball”, Siberian Mathematical Journal, 49:3 (2008), 423–428
T. Sh. Kalmenov, B. D. Koshanov, M. Yu. Nemchenko, “Green function Representation in the Dirichlet Problem for Polyharmonic Equations in a Ball”, Doklady Mathematics, 78:1 (2008), 528–530
T. Sh. Kalmenov, B. E. Kanguzhin, B. D. Koshanov, “On Integral Representations of Correct Restrictions and Regular Extensions of Differential Operators”, Doklady Mathematics, 81:1 (2010), 94–96
B. E. Kanguzhin, B. D. Koshanov, “Necessary and sufficient conditions for the solvability of boundary value problems for polyharmonic equation”, Ufimsk. Mat. Zh., 2:2 (2010), 41–52
B. D. Koshanov, A. P. Soldatov, “Boundary value problem with normal derivatives for a higher order elliptic eguation on the plane”, Differential Equations, 52:12 (2016), 1594–1609
B. E. Kanguzhin, B. D. Koshanov, “The uniqueness criterion for a solution to a boundary value problem for the operator $\frac{\partial ^{2p} }{\partial t^{2p}}-A$ with an elliptic operator $A$ of arbitrary order”, Siberian Math. J., 63:6 (2022), 1083–1090
2021
2.
B. D. Koshanov, A. P. Soldatov, “On the solvability of the generalized Neumann problem for a higher-order elliptic equation in an infinite domain”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 564–575
3.
B. D. Koshanov, A. Kuntuarova, “On the fredholm solvability of the generalized Neumann problem”, Applied Mathematics & Physics, 53:1 (2021), 31–39
2019
4.
A. I. Kozhanov, B. Koshanov, J. Sultangazieva, “New boundary value problems for fourth-order quasi-hyperbolic equations”, Sib. Èlektron. Mat. Izv., 16 (2019), 1410–1436
2017
5.
B. D. Koshanov, G. D. Smatova, “On correct restrictions of bi-Laplace operator and their properties”, International Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017; (Astana; Kazakhstan; 2 October 2017 do 5 October 2017;), AIP Conference Proceedings, 1880, 2017
B. D. Koshanov, G. D. Smatova, “On solvability of boundary value problem of magnetic gas dynamics with cylindric and spherical symmetries”, 3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016; (Almaty; Kazakhstan; 7 September 2016 do 10 September 2016), AIP Conference Proceedings, 1759, 2016
B. D. Koshanov, A. P. Soldatov, “Boundary value problem with normal derivatives for a higher order elliptic eguation on the plane”, Differential Equations, 52:12 (2016), 1594–1609
B. D. Koshanov, G. D. Smatova, T. B. Uteev, “On the solvability of the boundary value problem of magnetic gas dynamics with cylindrical and spherical symmetry”, Sib. J. Pure and Appl. Math., 16:2 (2016), 41–49 (to appear)
9.
B. D. Koshanov, M. O. Otelbaev, “Correct Contractions stationary Navier-Stokes equations and boundary conditions for the setting pressure”, AIP Conference Proceedings, 1759 (2016)
B. D. Koshanov, M. D. Koshanova, “On the representation of the Green function of the Dirichlet Problem and their properties for the polyharmonic equations”, International Conference on Advancements in Mathematical Sciences, AMS 2015; (Antalya, Turkey, 5–7 November 2015.), AIP Conference Proceedings, 1676, no. 1, 2015
B. D. Koshanov, “On the solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball”, 2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014; (Shymkent; Kazakhstan; 11 September 2014 do 13 September 2014), AIP Conference Proceedings, 1611, 2014, 119-127
B. D. Koshanov, “About solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball”, Advances in Pure and Applied Mathematics, Journal Advances in Pure and Applied Mathematics, 4:4 (2013), 351–373
T. Sh. Kalmenov, B. E. Kanguzhin, B. D. Koshanov, “On Integral Representations of Correct Restrictions and Regular Extensions of Differential Operators”, Doklady Mathematics, 81:1 (2010), 94–96
B. E. Kanguzhin, B. D. Koshanov, “Necessary and sufficient conditions for the solvability of boundary value problems for polyharmonic equation”, Ufimsk. Mat. Zh., 2:2 (2010), 41–52
T. Sh. Kalmenov, B. D. Koshanov, “Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball”, Siberian Mathematical Journal, 49:3 (2008), 423–428
T. Sh. Kalmenov, B. D. Koshanov, M. Yu. Nemchenko, “Green function Representation in the Dirichlet Problem for Polyharmonic Equations in a Ball”, Doklady Mathematics, 78:1 (2008), 528–530
17.
T. Sh. Kalmenov, B. D. Koshanov, M. Y. Nemchenko, “Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere”, Complex variables and Elliptic equations, 53:2 (2008), 177–183
2022
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