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

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.

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Publication Details

Journal
Vestnik of Samara University Natural Science Series
Published
2024-10-28
DOI
https://doi.org/10.18287/2541-7525-2024-30-3-17-24
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

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

Л. С. Пулькина, E. E. Gasanova
Vestnik of Samara University Natural Science Series
Differential Equations and Boundary Problems
article

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

Л. С. Пулькина, E. E. Gasanova
article en

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.

Vestnik of Samara University Natural Science SeriesVol. 30(3)
Samara National Research University (RU)
Openalex Percentile: Top 68%
Differential Equations and Boundary Problems
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Solution of certain problem with nonlocal boundary condition for one-dimensional wave equation — Л. С. Пулькина, E. E. Gasanova · Vestnik of Samara University Natural Science Series (2024) | TGRS Research Map | TGRS