On the existence of periodic solutions of periodically perturbed conservative systems

DOI10.1016/0022-247X(90)90266-IzbMath0726.34033OpenAlexW1995548622MaRDI QIDQ802833

Michael A. Wolfe, Zu He Shen

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90266-i

zbMATH Keywords

periodic solutionperiodic perturbationconservative system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (8)

Periodic solutions for a class of second-order ordinary differential equations ⋮ Initial value problem method for diffeomorphism and its applications ⋮ New results on the existence of periodic solutions of periodically perturbed conservative systems ⋮ ON A PERTURBED CONSERVATIVE SYSTEM OF SEMILINEAR WAVE EQUATIONS WITH PERIODIC-DIRICHLET BOUNDARY CONDITIONS ⋮ On periodic solutions for even order differential equations ⋮ Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations ⋮ Finding the periodic solution of differential equation via solving optimization problem ⋮ New results of some existence theorems on nonlinear boundary value problems

Cites Work

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• An existence theorem for periodically perturbed conservative systems
• Periodically perturbed conservative systems and a global inverse function theorem
• Equivalent Norms for Sobolev Spaces
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations

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