Journal Article10.1007/BF00251609
Asymptotic stability in viscoelasticity
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TL;DR: In this article, it was shown that the solutions of (1.1) are asymptotically stable provided that g(T) is a nonnegative, monotonic non-increasing and convex function such that
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Abstract: where p, c are positive constants and g(r is independent of x; u(x, t) has been assigned on [0, 1 ] x ( oo, 0]. In a recent paper [1] the author investigated the problem of asymptotic stability for a class of abstract integrodifferential equations in function space, and the results were then applied to viscoelasticity. It was established, for instance, that the solutions of (1.1) are asymptotically stable provided that g(T) is a nonnegative, monotonic non-increasing and convex function such that
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Lack of exponential decay of a coupled system of wave equations with memory
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