Pseudo-almost periodic solutions in the alpha-norm and in Stepanov's sense for some evolution equations

DOI10.1007/S11253-023-02157-YzbMath1523.35201OpenAlexW4376504806MaRDI QIDQ6159040

Mosbah Eljeri, H. Ben-Elmonser, Mohsen Miraoui, Amor Rebey

Publication date: 1 June 2023

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02157-y

zbMATH Keywords

almost periodic solutionsabstract evolution equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Almost and pseudo-almost periodic solutions to PDEs (35B15) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces
• Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations
• Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with \(\mathbf S^p\)-weighted pseudo-almost periodic coefficients
• Semigroups of linear operators and applications to partial differential equations
• Pseudo almost periodic solutions of some differential equations
• Pseudo almost periodic solutions for some parabolic evolution equations with Stepanov-like pseudo almost periodic forcing terms
• Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
• EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY

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