General Decay of Energy for a Class of Integro-Differential Equation with Nonlinear Damping

In this paper, a class of non-linear Integro-differential equations is considered in a bounded domain Ω with a smooth boundary ∂Ω as follows: utt + M(kD muk 2 2)(−∆)mu(t) + Z t 0 g(t − s)(−∆)mu(s)ds + |ut| α−1 ut = |u| p−1 u. The asymptotic behavior of solutions is discussed by some c...

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Bibliographic Details
Main Authors: E. Hesameddini, Y. Khalili
Format: Article
Language:English
Published: Islamic Azad University 2012-06-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/164/86