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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2024 Volume 30, Issue 3, Pages 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

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.

UDC: 517.956

Received: 10.04.2024
Accepted: 02.09.2024

DOI: 10.18287/2541-7525-2024-30-3-17-24



© Steklov Math. Inst. of RAS, 2025