Differential equations with limit-periodic forcings

DOI10.1090/S0002-9939-02-06692-3zbMath1021.34015MaRDI QIDQ4780424

Rafael Ortega, Rafael Obaya, Ana Isabel Alonso

Publication date: 19 November 2002

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

zbMATH Keywords

hyperbolic solutionalmost-automorphic solutionlimit-periodic equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (11)

Limit-periodic solutions of difference and differential systems without global lipschitzianity restrictions ⋮ Limit periodic upper and lower solutions in a generic sense ⋮ Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics ⋮ Coincidence degree methods in almost periodic differential equations ⋮ Existence, localization and stability of limit-periodic solutions to differential equations involving cubic nonlinearities ⋮ Almost periodic and almost automorphic dynamics for scalar convex differential equations ⋮ Note on limit-periodic solutions of the difference equation \(x_{t+1} - [h(x_t)+\lambda x_t= r_t\), \(\lambda >1\)] ⋮ Bifurcation in the almost periodic Ricker map ⋮ Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics ⋮ Almost periodic solutions by the harmonic balance method ⋮ A generalization of Bochner's theorem and its applications in the study of impulsive differential equations

Cites Work

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• On almost-periodic linear differential systems of Millionscikov and Vinograd
• Almost periodic differential equations
• Limit periodic functions, adding machines, and solenoids
• The existence of periodic solutions of systems of differential equations
• A Linear, Almost Periodic Equation With an Almost Automorphic Solution
• A Nonstandard Resonance Problem for Ordinary Differential Equations

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