A general symmetry principle and some implications

DOI10.1006/jmaa.1994.1333zbMath0815.34057OpenAlexW2043082580MaRDI QIDQ1340524

Wolfgang Walter, Jean Mawhin

Publication date: 14 December 1994

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

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1333

zbMATH Keywords

symmetryfixed pointsperiodic solutionsnonlinear functional analysis

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Nonlinear differential equations in abstract spaces (34G20)

Related Items (9)

Minimal period and maximal Lyapunov exponent of solutions to Lipschitzian differential equations ⋮ Bounds for periodic solutions of vector second-order nonlinear differential equations ⋮ Bounds for the periods of periodic solutions of ordinary differential equations ⋮ Minimal periods of solutions to higher-order functional differential equations ⋮ Minimal periods of solutions of Lipschitzian differential equations in a vector space with an arbitrary norm ⋮ Infinitely many periodic solutions to delay differential equations via critical point theory ⋮ Minimal periods of periodic solutions of some Lipschitzian differential equations ⋮ Sharp a priori bounds for periodic solutions to second-order vector differential equations ⋮ The least distance between extrema and the minimum period of solutions of autonomous vector differential equations

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