Integral operators in spaces of bounded, almost periodic, and almost automorphic functions.

zbMath1224.45021MaRDI QIDQ631383

Gaston Mandata N'Guérékata, Alexander A. Pankov

Publication date: 23 March 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

integral operatorordinary differential equationalmost periodic functionbounded linear operatorsspaces of Stepanov almost automorphic functionspaces of Stepanov bounded functions

Mathematics Subject Classification ID

Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Asymptotically almost automorphic solutions of fractional order neutral integro-differential equations ⋮ New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations ⋮ Piecewise Continuous Stepanov-Like Almost Automorphic Functions with Applications to Impulsive Systems ⋮ PC-almost automorphic solution of impulsive fractional differential equations ⋮ 𝛼∼𝑙 relatively dense sets and weighted pseudo almost periodic phenomenon

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