\(C^{(n)}\)-almost periodic and \(C^{(n)}\)-almost automorphic solutions for a class of partial functional differential equations with finite delay

DOI10.1016/J.NAHS.2010.04.005zbMath1204.35169OpenAlexW1989628927MaRDI QIDQ608365

Abdelhai El Azzouzi

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2010.04.005

zbMATH Keywords

analytic semigroupfractional power of operatorsvariation of constants formulareduction principle\(C^{(n)}\)-almost automorphic solution\(C^{(n)}\)-almost periodic solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Partial functional-differential equations (35R10) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (3)

Periodic solutions for non-autonomous neutral functional differential equations with finite delay ⋮ On generalized $C^{(n)}$-almost periodic solutions of abstract Volterra integro-differential equations ⋮ \(C^n\)-almost periodic functions and an application to a Lasota-Wazewska model on time scales

Cites Work

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• Existence and uniqueness of \(C^{(n)}\)-almost periodic solutions to some ordinary differential equations
• Massera-type theorem for the existence of \(C^{(n)}\)-almost-periodic solutions for partial functional differential equations with infinite delay
• Reduction principle and dynamic behaviors for a class of partial functional differential equations
• Semigroups of linear operators and applications to partial differential equations
• Almost periodic differential equations
• Partial differential equations with deviating arguments in the time variable
• Introduction to functional differential equations
• On some classes of almost periodic functions in abstract spaces
• Theory and applications of partial functional differential equations
• The existence of periodic solutions of systems of differential equations
• Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
• Existence and Stability for Partial Functional Differential Equations

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