Finding the periodic solution of differential equation via solving optimization problem

DOI10.1007/s10957-009-9544-1zbMath1175.90308OpenAlexW2090108323WikidataQ115382587 ScholiaQ115382587MaRDI QIDQ1039346

J. Blot

Publication date: 27 November 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-009-9544-1

zbMATH Keywords

periodic solutionsdifferential equationsquasi-Newton methods

Mathematics Subject Classification ID

Quadratic programming (90C20) Periodic solutions to ordinary differential equations (34C25)

Related Items (1)

Positive, negative and mixed-type solutions for periodic vector differential equations

Cites Work

• On the existence of periodic solutions of periodically perturbed conservative systems
• Uniqueness, existence, and optimality for fouth-order Lipschitz equations
• A compact updating formula for quasi-Newton minimization algorithms
• Existence and uniqueness of solutions of boundary value problems for Lipschitz equations
• Existence and uniqueness of periodic solutions for Duffing equations across many points of resonance
• New results on the existence of periodic solutions of periodically perturbed conservative systems
• Practical quasi-Newton methods for solving nonlinear systems
• Optimality for boundary value problems for Lipschitz equations
• Periodic solutions for a class of second-order ordinary differential equations
• A note on absolute extrema of certain integrals
• On periodic solutions of nonconservative systems
• Periodically perturbed conservative systems and a global inverse function theorem
• Quasi-Newton Methods, Motivation and Theory
• Quasi-Newton Methods and their Application to Function Minimisation
• Quasi-newton algorithms generate identical points

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