Almost automorphic linear dynamics by Favard theory

DOI10.1016/j.jde.2013.10.018zbMath1343.34035OpenAlexW2088909506MaRDI QIDQ2438812

Juan Campos, Massimo Tarallo

Publication date: 6 March 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2013.10.018

zbMATH Keywords

almost automorphic solutionsFavard separation conditionalmost periodic linear equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (11)

Almost periodicity and almost automorphy for some evolution equations using Favard's theory in uniformly convex Banach spaces ⋮ Recurrent equations with sign and Fredholm alternative ⋮ Favard theory for the adjoint equation and Fredholm alternative ⋮ Mean-square almost automorphic solutions for stochastic differential equations with hyperbolicity ⋮ Unnamed Item ⋮ Behavior of bounded solutions for some almost periodic neutral partial functional differential equations ⋮ Almost automorphic solutions of non-autonomous differential equations ⋮ Favard theory and Fredholm alternative for disconjugate recurrent second order equations ⋮ Almost automorphic mild solutions to fractional partial difference-differential equations ⋮ Unnamed Item ⋮ Barycentric solutions of linear almost periodic equations: Baire class and almost automorphy

Cites Work

• Unnamed Item
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• Bounded solutions of scalar, almost periodic linear equations
• Existence of dichotomies and invariant splittings for linear differential systems. I
• Almost periodic differential equations
• Existence of dichotomies and invariant splittings for linear differential systems. III
• Minimal functions with unbounded integral
• The Favard separation condition for almost periodic linear systems
• Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
• Almost periodic linear differential equations with non-separated solutions
• A Linear, Almost Periodic Equation With an Almost Automorphic Solution
• FAVARD THEORY
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• The Veech Structure Theorem
• Almost Automorphic Functions on Groups
• A NEW APPROACH TO ALMOST PERIODICITY
• On a theorem of Bochner

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