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ON A CERTAIN PROBLEM FOR A WAVE EQUATION
- Authors: Beilin S.1
-
Affiliations:
- Samara State University
- Issue: Vol 17, No 5 (2011)
- Pages: 12-17
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4828
- DOI: https://doi.org/10.18287/2541-7525-2011-17-5-12-17
- ID: 4828
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Abstract
In this paper a hyperbolic equation with non-classical boundary conditions
for a hyperbolic equation is studied. This problem can be viewed as the gener
alization of the problem about the oscillation of the string if it ends experience
the resistance of medium. The unique solvability of the problem is proved. The
prove of solvability is based on the received a priory estimates in Sobolev space.
About the authors
S.A. Beilin
Samara State University
Author for correspondence.
Email: morenov.sv@ssau.ru
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