Massera-type theorem for the existence of \(C^{(n)}\)-almost-periodic solutions for partial functional differential equations with infinite delay

DOI10.1016/j.na.2007.06.041zbMath1144.35471OpenAlexW2065489591MaRDI QIDQ943691

Samir Fatajou, Khalil Ezzinbi, Gaston Mandata N'Guérékata

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.06.041

zbMATH Keywords

exponential dichotomyinfinite delayHille-Yosida conditionintegral solution\(C_{0}\)-semigroupreduction principlefading memory space\(C^{(n)}\)-almost-periodic solution

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Partial functional-differential equations (35R10) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items (7)

Generalized 1D Jörgens theorem ⋮ \(C^{(n)}\)-almost periodic and \(C^{(n)}\)-almost automorphic solutions for a class of partial functional differential equations with finite delay ⋮ Almost periodic solutions of sublinear heat equations ⋮ Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay ⋮ Bohr-Neugebauer property for almost automorphic partial functional differential equations ⋮ Massera’s theorem in quantum calculus ⋮ \(C^n\)-almost periodic functions and an application to a Lasota-Wazewska model on time scales

Cites Work

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• Variation of constants formula and almost periodic solutions for some partial functional differential equations with infinite delay
• Existence and uniqueness of \(C^{(n)}\)-almost periodic solutions to some ordinary differential equations
• Functional differential equations with infinite delay
• Almost periodic differential equations
• On some classes of almost periodic functions in abstract spaces
• The existence of periodic solutions of systems of differential equations
• Existence of a periodic solution for some partial functional differential equations with infinite delay

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