Asymptotic and pseudo almost periodicity of the convolution operator and applications to differential and integral equations

DOI10.4171/ZAA/1292zbMath1107.44002OpenAlexW2008379158MaRDI QIDQ853503

Dariusz Bugajewski, Crépin M. Mahop, Tocka Diagana

Publication date: 16 November 2006

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1292

zbMATH Keywords

almost periodic functionsVolterra type differential equations

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Classical almost periodic functions, mean periodic functions (42A75) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (6)

Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations ⋮ Bounded solutions to some classes of nonautonomous higher-order differential equations ⋮ Mappings of higher order and nonlinear equations in some spaces of almost periodic functions ⋮ Existence of pseudo-almost automorphic solutions for nonlinear differential equations ⋮ Composition of pseudo almost automorphic and asymptotically almost automorphic functions ⋮ Weighted pseudo-almost periodic solutions to some differential equations

Cites Work

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• On the Darboux problem of neutral type
• Almost automorphic solutions of semilinear evolution equations
• Almost automorphic solutions of evolution equations
• Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations
• Pseudo almost periodic solutions for some differential equations in a banach space

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