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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)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgu743 https://www.mathnet.ru/eng/vsgu/v30/i3/p17
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