Convexity, boundedness, and almost periodicity for differential equations in Hilbert space

DOI10.1155/S0161171279000016zbMath0397.34041OpenAlexW2128833032MaRDI QIDQ1253725

Jerome A. Goldstein

Publication date: 1979

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/44755

zbMATH Keywords

ConvexityBoundednessAlmost Periodicity for Differential Equations In Hilbert Space

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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On a Bohr-Neugebauer property for some almost automorphic abstract delay equations ⋮ Almost Periodic Solutions for Stochastic Differential Equations Driven By G-Brownian Motion ⋮ Almost automorphic evolution equations with compact almost automorphic solutions ⋮ Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations ⋮ Existence and uniqueness of pseudo-almost periodic solutions to semilinear differential equations and applications ⋮ A Bohr-Neugebauer property for abstract almost periodic evolution equations in Banach spaces: application to a size-structured population model ⋮ Bohr-Neugebauer property for almost automorphic partial functional differential equations ⋮ Existence and exponential stability of almost automorphic mild solutions for stochastic functional differential equations ⋮ Pseudo almost periodic solutions to some differential equations ⋮ Pseudo-almost-periodic solutions to some semilinear differential equations ⋮ Almost periodicity in Fréchet spaces ⋮ Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ On Massera and Bohr-Neugebauer type theorems for some almost automorphic differential equations

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