PROBLEM WITH TIME-DEPENDENT BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION
- Authors: Dyuzheva A.V.1
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Affiliations:
- Samara National Research University
- Issue: Vol 23, No 1 (2017)
- Pages: 7-14
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/5141
- DOI: https://doi.org/10.18287/2541-7525-2017-23-1-7-14
- ID: 5141
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Abstract
In this paper, we consider a problem for hyperbolic equation with standard initial data and nonlocal dynamic conditions. Such conditions may arise when a thick short bar fixed by point forces and springs. The existence and uniqueness of the problem are proved. The proof is mainly based on a priori estimates and Galerkin procedure.
About the authors
A. V. Dyuzheva
Samara National Research University
Author for correspondence.
Email: morenov@ssau.ru
Russian Federation
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