New results on the existence of periodic solutions of periodically perturbed conservative systems

DOI10.1006/jmaa.1997.5204zbMath0874.34037OpenAlexW2083086360MaRDI QIDQ1353582

Zu He Shen, Michael A. Wolfe

Publication date: 18 August 1997

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

Full work available at URL: https://semanticscholar.org/paper/212ed8a80604850f71cfdeb7dcb8a3b9eb3868ef

zbMATH Keywords

periodic solutionsboundary value problemsystem of ordinary differential equationsmechanical systemperiodic external forcesconservative internal forces

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (3)

Periodic solutions for a class of second-order ordinary differential equations ⋮ On periodic solutions for even order differential equations ⋮ Finding the periodic solution of differential equation via solving optimization problem

Cites Work

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• On the existence of periodic solutions of periodically perturbed conservative systems
• An existence theorem for periodically perturbed conservative systems
• Nonlinear boundary value problems and a global inverse function theorem
• On periodically perturbed conservative systems
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Periodically perturbed conservative systems and a global inverse function theorem
• Homeomorphisms Between Banach Spaces
• On the periodic solution to the Newtonian equation of motion
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations

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