A necessary and sufficient condition for the existence of a unique nontrivial periodic solution to a class of equations of Lienards type

DOI10.1016/0022-0396(82)90100-0zbMath0492.34029OpenAlexW2063041864MaRDI QIDQ1167856

Kurt Munk Andersen, Allan Sandqvist

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90100-0

zbMATH Keywords

autonomous equation of Lienard typeexistence of a unique nontrivial periodic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

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Cites Work

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• Existence and uniqueness results for Liénard́s equation having a dead band
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations