Stability result for a system of nonlinear k -wave equations with damping and source terms

wissem boughamsa; Amar Ouaoua

doi:10.5269/bspm.62602

wissem boughamsa Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS) Department of Mathematics University 20 August 1955 Skikda, ALGERIA.
Amar Ouaoua LAMAHIS Laboratory, University of 20 August 1955, Skikda, Algeria. https://orcid.org/0000-0002-8468-1696

Abstract

In this paper, we consider a system of nonlinear K-wave equa-
tions (K >= 2) with damping acting in all equations and source terms. We will
prove that the solution of the problem is stable for some conditions with a
small positive initial energy, by using the integral inequility due to Komornik.

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