Periodic solutions of differential equations and nonconvex functionals in the calculus of variations

DOI10.1080/02331939708844317zbMath0872.49014OpenAlexW2040309444MaRDI QIDQ4342962

Aleksandra Orpel

Publication date: 15 October 1997

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939708844317

zbMATH Keywords

periodic solutionsvariational principlescritical pointsduality theoryintegral functionalEuler-Lagrange equationEuler-Lagrange inclusion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Duality theory (optimization) (49N15) Existence theories for free problems in one independent variable (49J05)

Related Items (3)

On a Fenchel–Young Type Conjugacy for Invex Functions ⋮ The existence of the critical points for the action functional without convexity assumptions ⋮ ON SOLUTIONS OF THE DIRICHLET PROBLEM FOR A CLASS OF PARTIAL DIFFERENTIAL INCLUSIONS WITH SUPERLINEAR NONLINEARITIES

Cites Work

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• Periodic solutions in the calculus of variations and differential equations
• Duality and classical problem of the calculus of variations without convexity assumptions

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