Pseudo-almost automorphic solutions to some classes of nonautonomous partial evolution equations

DOI10.7153/DEA-01-30zbMath1197.43006OpenAlexW2144475267MaRDI QIDQ3552405

Tocka Diagana

Publication date: 15 April 2010

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/dea-01-30-abs.pdf

zbMATH Keywords

exponential dichotomysectorial operatorevolution familypseudo-almost automorphicalmost automorphicnonautonomous equationhyperbolic evolution equationAcquistapace and Terreni conditionsheat equation in divergencehyperbolic evolution family

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) Almost and pseudo-almost periodic solutions to PDEs (35B15) Classical almost periodic functions, mean periodic functions (42A75) Evolution inclusions (34G25) Linear boundary value problems for ordinary differential equations (34B05) Abstract hyperbolic equations (35L90) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (7)

(μ, ν)-Pseudo almost automorphic solutions for some non-autonomous differential equations ⋮ Pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay ⋮ Convolutions in \(\mu\)-pseudo almost periodic and \(\mu\)-pseudo almost automorphic function spaces and applications to solve integral equations ⋮ Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations ⋮ On almost automorphic mild solutions for nonautonomous stochastic evolution equations ⋮ Pseudo almost automorphic solutions of some nonlinear integro-differential equations ⋮ Nonlocal Cauchy problem for nonautonomous fractional evolution equations

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