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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2024, Volume 30, Issue 3, Pages 17–24
DOI: https://doi.org/10.18287/2541-7525-2024-30-3-17-24
(Mi vsgu743)
 

Mathematics

Solution of certain problem with nonlocal boundary condition for one-dimensional wave equation

E. E. Gasanova, L. S. Pulkina

Samara National Research University, Samara, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: In this paper, we study a problem with nonlocal boundary condition for one-dimensional wave equation. To prove the solvability of the problem we construct biortogonal basis consisting of eigen- and adjoint-functions of not self adjoint operator.
Keywords: wave equation, boundary problem, nonlocal condition, biortogonal basis.
Received: 10.04.2024
Accepted: 02.09.2024
Document Type: Article
UDC: 517.956
Language: Russian
Citation: E. E. Gasanova, L. S. Pulkina, “Solution of certain problem with nonlocal boundary condition for one-dimensional wave equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 30:3 (2024), 17–24
Citation in format AMSBIB
\Bibitem{GasPul24}
\by E.~E.~Gasanova, L.~S.~Pulkina
\paper Solution of certain problem with nonlocal boundary condition for one-dimensional wave equation
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2024
\vol 30
\issue 3
\pages 17--24
\mathnet{http://mi.mathnet.ru/vsgu743}
\crossref{https://doi.org/10.18287/2541-7525-2024-30-3-17-24}
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