Asymptotically almost periodic solutions to some classes of second-order functional differential equations.

zbMath1224.35411MaRDI QIDQ631401

Hernán R. Henríquez, Tocka Diagana, Eduardo M. Hernández

Publication date: 23 March 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

mild solutionfunctional differential equationunbounded delayasymptotically almost periodic solution

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Almost and pseudo-almost periodic solutions to PDEs (35B15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

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Existence results for some damped second-order Volterra integro-differential equations ⋮ Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations ⋮ Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces ⋮ Pseudo \(\mathcal{S}\)-asymptotically periodic solutions of second-order abstract Cauchy problems ⋮ Variational methods and almost periodic solutions of second order functional differential equations with infinite delay

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