A GENERAL DECAY RESULT FOR THE WAVE EQUATION WITH DISTRIBUTED DELAY

FERHAT, MOHAMED and REMIL, MELOUKA and HAKEM, ALI (2017) A GENERAL DECAY RESULT FOR THE WAVE EQUATION WITH DISTRIBUTED DELAY. Asian Journal of Mathematics and Computer Research, 17 (3). pp. 141-154.

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Abstract

We consider the nonlinear wave equation with distributed delay(|ut|γ−2ut)t−Lu−∫t0g(t−s)Lu(s)ds+μ1ut(x,t) +∫τ2τ1μ2(s)ut(x,t−s)ds= 0,in a bounded domain Ω⊂IRn(n≥1).By using an appropriate Lyapunov functional, we studythe asymptotic behavior of solutions. Moreover, we extend and improve the previous results in theliterature.

Item Type: Article
Subjects: STM Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 13 Jan 2024 04:23
Last Modified: 13 Jan 2024 04:23
URI: http://classical.goforpromo.com/id/eprint/4893

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