Stepanov-like pseudo almost automorphic mild solutions to nonautonomous evolution equations

DOI10.1016/j.na.2009.01.080zbMath1172.34038OpenAlexW2029070514MaRDI QIDQ1030129

Zhanrong Hu, Zhen Jin

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.080

zbMATH Keywords

pseudo almost automorphicStepanov-like pseudo almost automorphicExponential dichotomyInfinite delayNonautonomous evolution equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Linear differential equations in abstract spaces (34G10) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (8)

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 ⋮ Weighted Stepanov-like pseudoperiodicity and applications ⋮ Weighted pseudo asymptotically periodic mild solutions of evolution equations ⋮ Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations ⋮ Unnamed Item ⋮ Pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain ⋮ Pseudo almost automorphic mild solution of nonautonomous stochastic functional integro-differential equations

Cites Work

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• Stepanov-like pseudo-almost periodic mild solutions to perturbed nonautonomous evolution equations with infinite delay
• Evolution operators and strong solutions of abstract linear parabolic equations
• Almost automorphic solutions for hyperbolic semilinear evolution equations
• Almost automorphic solutions for some partial functional differential equations
• Pseudo-almost periodicity of some nonautonomous evolution equations with delay
• Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
• Stepanov-like almost automorphic solutions of nonautonomous semilinear evolution equations with delay
• Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations
• Almost automorphic solutions to some classes of partial evolution equations
• Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces
• Existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations
• Existence of pseudo-almost automorphic solutions to some abstract differential equations with \(\mathbf S^p\)-pseudo-almost automorphic coefficients
• Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations
• A unified approach to abstract linear nonautonomous parabolic equations
• Geometric theory of semilinear parabolic equations
• Periodic solutions of abstract differential equations with infinite delay
• Dichotomies in stability theory
• Almost automorphic solutions for abstract functional differential equations.
• Existence and uniqueness of almost automorphic mild solutions to some semilinear abstract differential equations
• Composition of pseudo almost automorphic and asymptotically almost automorphic functions
• Stepanov-like almost automorphic functions and monotone evolution equations
• Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications
• A spectral countability condition for almost automorphy of solutions of differential equations
• One-Parameter Semigroups for Linear Evolution Equations
• Topics in Almost Automorphy
• Almost automorphic solutions of semilinear evolution equations
• Almost automorphic solutions of evolution equations
• Stepanov-like almost automorphic functions and applications to some semilinear equations
• Pseudo almost periodic mild solutions to hyperbolic evolution equations in intermediate Banach spaces
• Analytic semigroups and optimal regularity in parabolic problems

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