A nonlocal mixed semilinear problem for second-order hyperbolic equations

Date

2003-03-17

Authors

Mesloub, Said
Messaoudi, Salim A.

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.

Description

Keywords

Semilinear hyperbolic equation, Integral condition, Strong solution, Existence, Uniqueness, Blow up, Decay

Citation

Mesloub, S., & Messaoudi, S. A. (2003). A nonlocal mixed semilinear problem for second-order hyperbolic equations. <i>Electronic Journal of Differential Equations, 2003</i>(30), pp. 1-17.

Rights

Attribution 4.0 International

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