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General Decay of Energy for a Class of Integro-Differential Equation with Nonlinear Damping
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نویسنده
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Hesameddini Esmaeil ,Khalili Yasser
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منبع
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journal of mathematical extension - 2012 - دوره : 6 - شماره : 2 - صفحه:51 -64
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چکیده
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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(||dm u||2 2)(−δ)m ut, + integral t 0 g(t-s) (−δ)m u(s)ds +|ut|α -1 ut= |u|p−1 u. the asymptotic behavior of solutions is discussed by some conditions on g. decay estimates of the energy function of solutions are also given.
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کلیدواژه
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Integro-differential ,energy decay ,relaxation function
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آدرس
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shiraz university of technology, Faculty of Basic Sciences, Department of Mathematics, ایران, shiraz university of technology, Faculty of Basic Sciences, Department of Mathematics, ایران
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پست الکترونیکی
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yasser.khalili@yahoo.com
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Authors
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