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Byszewski, L.

doi:https://doi.org/10.1155/S1048953390000156

International Journal of Stochastic Analysis

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Volume 3 | Article ID 281626 | https://doi.org/10.1155/S1048953390000156

Existence and uniqueness of solutions of nonlocal problems for hyperbolic equation uxt=F(x,t,u,ux)

L. Byszewski¹

Received01 Jan 1990

Revised01 May 1990

Abstract

The aim of the paper is to give two theorems about existence and uniqueness of continuous solutions for hyperbolic nonlinear differential problems with nonlocal conditions in bounded and unbounded domains. The results obtained in this paper can be applied in the theory of elasticity with better effect than analogous known results with classical initial conditions.

Copyright

Copyright © 1990 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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