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Long‐time behavior of a nonlinear viscoelastic beam equation with past history
Authors:Vando Narciso
Institution:Núcleo de Ciências Exatas, Unidade de Dourados, Universidade Estadual de Mato Grosso do Sul, 79804‐970 Dourados, MS, Brazil
Abstract:This paper is concerned with the existence of a global attractor for the nonlinear viscoelastic beam equation with past history memory urn:x-wiley:1704214:media:mma3109:mma3109-math-0001 where g(ut) is a damping like | ut | rut and f(u) is a source term like | u | αu ? | u | βu, by considering 0 ≤ β < α and r > 0. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:global attractor  viscoelastic plate  euler‐bernoulli beam
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