Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations

DOI10.1016/j.nonrwa.2011.07.019zbMath1238.34112OpenAlexW2058171048MaRDI QIDQ420017

Zhenbin Fan, Jin Liang, Ti-Jun Xiao

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.019

zbMATH Keywords

evolution familyalmost automorphicpseudo almost automorphicStepanov-like pseudo almost automorphic

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (7)

Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations ⋮ Composition theorems of Stepanov \(\mu \)-pseudo almost automorphic functions and applications to nonautonomous neutral evolution equations ⋮ New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations ⋮ Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces ⋮ Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions ⋮ Almost automorphic solutions for nonautonomous parabolic evolution equations ⋮ Compositions of pseudo almost automorphic functions via measure theory and applications

Cites Work

• Unnamed Item
• Unnamed Item
• On Stepanov-like (pseudo) almost automorphic functions
• Evolution operators and strong solutions of abstract linear parabolic equations
• Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
• Almost automorphic solutions to nonautonomous semilinear evolution equations in Banach spaces
• Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
• Existence of pseudo-almost automorphic solutions to some abstract differential equations with \(\mathbf S^p\)-pseudo-almost automorphic coefficients
• Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications
• Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with \(\mathbf S^p\)-weighted pseudo-almost periodic coefficients
• Dichotomies in stability theory
• Composition of pseudo almost automorphic and asymptotically almost automorphic functions
• Stepanov-like almost automorphic functions and monotone evolution equations
• Some properties of Stepanov-like almost automorphic functions and applications to abstract evolution equations
• Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations
• Stepanov-like almost automorphic functions and applications to some semilinear equations
• A NEW APPROACH TO ALMOST PERIODICITY

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