Electron. J. Diff. Equ., Vol. 2014 (2014), No. 48, pp. 1-6.

Initial-boundary value problems for the wave equation

Tynysbek Sh. Kalmenov, Durvudkhan Suragan

Abstract:
In this work we consider an initial-boundary value problem for the one-dimensional wave equation. We prove the uniqueness of the solution and show that the solution coincides with the wave potential.

Submitted January 9, 2014. Published February 19, 2014.
Math Subject Classifications: 35M10.
Key Words: Hyperbolic equation; wave potential; initial boundary value problems.

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Tynysbek Sh. Kalmenov
Institute of Mathematics and Mathematical Modeling
28 Shevchenko str.
050010 Almaty, Kazakhstan
email: kalmenov.t@mail.ru
Durvudkhan Suragan
Institute of Mathematics and Mathematical Modeling
28 Shevchenko str.
050010 Almaty, Kazakhstan
email: suragan@list.ru

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