Asymptotic behaviour of a semilinear viscoelastic beam model

DOI10.1007/PL00000522zbMath0987.35112MaRDI QIDQ5956897

Eva Fašangová, Jan W. Prüss

Publication date: 28 February 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

nonlinear loadsimply supported viscoelastic Euler-Bernoulli beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-partial differential equations (45K05) Linear constitutive equations for materials with memory (74D05) Higher-order nonlinear hyperbolic equations (35L75)

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Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces ⋮ Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday ⋮ Bounded mild solutions for semilinear integro differential equations in Banach spaces ⋮ Convergence to steady states of solutions to nonlinear integral evolution equations ⋮ Long-time behavior of nonlinear integro-differential evolution equations ⋮ Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations ⋮ A note on decay properties for the solutions of a class of partial differential equation with memory ⋮ Global stability of a fractional partial differential equation ⋮ Stability of abstract nonlinear nonautonomous differential--delay equations with unbounded history-responsive operators ⋮ Convergence to steady states of solutions of semilinear evolutionary integral equations ⋮ Decay properties for the numerical solutions of a partial differential equation with memory

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