A Topological Method for Bounded Solutions of Nonautonomous Ordinary Differential Equations

DOI10.2307/2154056zbMath0760.34033OpenAlexW4231439535MaRDI QIDQ4015884

James Robert jun. Ward

Publication date: 7 December 1992

Full work available at URL: https://doi.org/10.2307/2154056

zbMATH Keywords

boundary value problemsConley indexbounded solutionexamplesalmost periodic solutionsnonhomogeneous nonlinear systems of ordinary differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dynamical systems and ergodic theory (37-XX)

Related Items (7)

Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations ⋮ Bounded solutions of odd nonautonomous ODE ⋮ Resonance and non-resonance in a problem of boundedness ⋮ Conley index for random dynamical systems ⋮ Averaging, Conley index continuation and recurrent dynamics in almost-periodic parabolic equations ⋮ Conley index of Poincaré maps in isolating segments ⋮ The isolated invariant sets of a flow

Cites Work

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• The homotopy index and partial differential equations
• Averaging, homotopy, and bounded solutions of ordinary differential equations
• The Conley index and the method of averaging
• Almost periodic differential equations
• Conley index and non-autonomous ordinary differential equations

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