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