On the Existence of a Unique Almost Periodic Solution of an Abstract Differential Equation

DOI10.1112/jlms/s2-8.4.577zbMath0289.34093OpenAlexW2057204668WikidataQ115256539 ScholiaQ115256539MaRDI QIDQ4777742

Aribindi Satyanarayan Rao, Walter Hengartner

Publication date: 1974

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-8.4.577

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Groups and semigroups of linear operators (47D03) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Differential equations in abstract spaces (34G99)

Related Items (7)

Harmonic analysis and asymptotic behavior of solutions to the abstract Cauchy problem ⋮ On Stepanov-almost periodic semigroups and cosine functions of operators ⋮ Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations ⋮ Asymptotically almost-periodic solutions of abstract differential equations ⋮ Almost periodic solutions for Stepanov-almost periodic differential equations ⋮ Almost-periodic solutions of differential-operator equations ⋮ The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems

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