Composition theorems of Stepanov \(\mu \)-pseudo almost automorphic functions and applications to nonautonomous neutral evolution equations

DOI10.1007/s12591-015-0246-xzbMath1378.35016OpenAlexW2124835132MaRDI QIDQ1677279

Khalil Ezzinbi, Abdelkarim-Nidal Akdad, Brahim Es-sebbar

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s12591-015-0246-x

zbMATH Keywords

almost automorphic nonlinearityergodic perturbationsStepanov almost automorphy

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Partial functional-differential equations (35R10) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Almost and pseudo-almost periodic solutions to PDEs (35B15) Neutral functional-differential equations (34K40) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

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Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces, Positive almost periodic solutions of nonautonomous evolution equations and application to Lotka–Volterra systems, \(\mu\)-pseudo almost automorph mild solutions to the fractional integro-differential equation with uniform continuity, Almost automorphic solutions for nonautonomous parabolic evolution equations, Asymptotic behavior of solution for functional evolution equations with Stepanov forcing terms, μ-pseudo almost automorphic mild solutions for two terms order fractional differential equations

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