Asymptotically dichotomic almost periodic differential equations

DOI10.1016/j.jde.2017.03.014zbMath1365.34088OpenAlexW2603269571MaRDI QIDQ526017

Juan Campos, Massimo Tarallo

Publication date: 8 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.jde.2017.03.014

zbMATH Keywords

spectral radiusHaar measureexponential dichotomiespositive operatorsalmost periodic solutionscontractions and fixed points

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Almost periodic solutions for first-order differential equations.
• Nonmonotone equations with large almost periodic forcing terms
• Almost periodic differential equations
• Dichotomies in stability theory
• Uniqueness of periodic solutions for asymptotically linear Duffing equations with strong forcing
• Almost periodic upper and lower solutions.
• Almost periodic linear differential equations with non-separated solutions
• Ultimate boundedness does not imply almost periodicity
• The structure of the bounded trajectories set of a scalar convex differential equation
• Strict Ergodicity and Transformation of the Torus
• Baire Sets, Borel Sets and Some Typical Semi-Continuous Functions