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PROBLEM WITH AN INTEGRAL CONDITION FOR ONE-DIMENSIONAL HYPERBOLIC EQUATION
- Authors: Bogatov A.V.1
-
Affiliations:
- Samara National Research University
- Issue: Vol 24, No 4 (2018)
- Pages: 7-12
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/6497
- DOI: https://doi.org/10.18287/2541-7525-2018-24-4-7-12
- ID: 6497
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Abstract
In this paper, we study a nonlocal problem with an integral condition for a one-dimensional hyperbolic equation arising in the study of vibrations of the rod. The conditions for the input data providing unambiguous solvability of the problem are obtained, the proof of the existence and uniqueness of the solution of the problem is carried out.
About the authors
A. V. Bogatov
SamaraNational Research University
Author for correspondence.
Email: morenov@ssau.ru
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