The existence of periodic solutions for nonlinearly perturbed conservative systems

DOI10.1016/0362-546X(79)90097-XzbMath0434.34031OpenAlexW1994035231MaRDI QIDQ3872799

James Robert jun. Ward

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90097-x

zbMATH Keywords

conservative systemsLeray-Schauder degree

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Nonlinear ordinary differential equations and systems (34A34) Fixed-point theorems (47H10)

Related Items (7)

A general existence theorem for boundary value problems for ordinary differential equations ⋮ Analysis of the periodic solutions of a smooth and discontinuous oscillator ⋮ Solutions périodiques des systèmes non conservatifs périodiquement perturbés ⋮ Periodic solutions to nonlinear wave equations with spatially dependent coefficients ⋮ Conservative systems of semi-linear wave equations with periodic Dirichlet boundary conditions ⋮ Iterative and variational methods for the solvability of some semilinear equations in Hilbert spaces ⋮ Solutions of nonlinear elliptic systems with meshed spectra

Cites Work

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• An existence theorem for periodically perturbed conservative systems
• On boundary value problems for ordinary differential equations
• On periodically perturbed conservative systems
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Periodic Solutions of Perturbed Conservative Systems
• Some Elementary Properties of Proper Values and Proper Vectors of Matrix Functions
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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