Asymptotic stability of abstract dissipative systems with infinite memory

DOI10.1016/j.jmaa.2011.04.079zbMath1225.45005OpenAlexW2046591577MaRDI QIDQ549809

Aissa Guesmia

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.079

zbMATH Keywords

stabilityasymptotic behaviorwave equationHilbert spacelinear viscoelasticitycontraction semigroupsabstract linear dissipative integro-differential equationinfinite memory kernelsKirchhoff viscoelastic beamPetrovsky type system

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Linear constitutive equations for materials with memory (74D05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Abstract integral equations, integral equations in abstract spaces (45N05)

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Cites Work

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