Almost periodicity in Fréchet spaces

DOI10.1016/j.jmaa.2004.05.042zbMath1069.34081OpenAlexW2066792043MaRDI QIDQ703887

Dariusz Bugajewski, Gaston Mandata N'Guérékata

Publication date: 12 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.042

zbMATH Keywords

initial value problemVolterra integral equationFréchet spacealmost periodicityasymptotically almost periodicity

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Volterra integral equations (45D05)

Related Items (5)

Asymptotic and pseudo almost periodicity of the convolution operator and applications to differential and integral equations ⋮ Existence and uniqueness of \(C^{(n)}\)-almost periodic solutions to some ordinary differential equations ⋮ Weakly almost periodic functions in topological vector spaces ⋮ Asymptotic almost periodic functions with range in a topological vector space ⋮ Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations

Cites Work

• On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces
• Applications of almost periodic compactifications
• Notes on almost-periodicity in topological vector spaces
• Almost periodic differential equations
• Convexity, boundedness, and almost periodicity for differential equations in Hilbert space
• Almost periodic solutions of Volterra equations
• On topological properties of solution sets for differential equations in locally convex spaces.
• Almost-periodicity in linear topological spaces and applications to abstract differential equations
• CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS
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