Almost automorphic solutions to second-order semilinear evolution equations

DOI10.1016/J.NA.2008.11.004zbMath1238.34082OpenAlexW2019600332MaRDI QIDQ419780

Gaston Mandata N'Guérékata

Publication date: 20 May 2012

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.2008.11.004

zbMATH Keywords

semilinear evolution equationsalmost automorphic functionuniform spectrum

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (11)

Existence and global attractiveness of a square-mean μ-pseudo almost automorphic solution for some stochastic evolution equation driven by Lévy noise ⋮ Square-mean \(\mu \)-pseudo almost periodic and automophic solutions for a class of semilinear integro-differential stochastic evolution equations ⋮ Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients \(S^{2}\)-almost automorphic ⋮ Bounded mild solutions to fractional integro-differential equations in Banach spaces ⋮ Weighted pseudo-almost automorphic solutions for some partial functional differential equations ⋮ Dichotomy and μ‐pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces ⋮ Measure theory and pseudo almost automorphic functions: new developments and applications ⋮ Measure theory and square-mean pseudo almost periodic and automorphic process: application to stochastic evolution equations ⋮ Existence of almost automorphic solution in distribution for a class of stochastic integro-differential equation driven by Lévy noise ⋮ Eberlein weak almost periodic solutions for a class of integro-differential equations with infinite delay ⋮ Measure theory and \(S^2\)-pseudo almost periodic and automorphic process: application to stochastic evolution equations

Cites Work

• Unnamed Item
• Unnamed Item
• A Massera type theorem for almost automorphic solutions of differential equations
• Bounded Solutions of Parabolic Equations in Continuous Function Spaces
• Topics in Almost Automorphy
• Almost automorphic solutions of evolution equations
• Almost automorphic solutions of second order evolution equations

This page was built for publication: Almost automorphic solutions to second-order semilinear evolution equations