Nondegeneracy and uniqueness of periodic solution for a Liénard equation

DOI10.1007/s12346-022-00669-9OpenAlexW4298146695MaRDI QIDQ2080214

Zhibo Cheng, Shao-Wen Yao, Wen-Jie Li

Publication date: 7 October 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00669-9

zbMATH Keywords

existenceuniquenessperiodic solutionLiénard equationnondegeneracy

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations
• Periodic solutions for a kind of Liénard equation with a deviating argument
• Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Periodic solutions for Liénard equation with an indefinite singularity
• On a generalized Wirtinger inequality
• Periodic solutions of Liénard equations with singular forces of repulsive type
• Non-degeneracy and uniqueness of periodic solutions for \(2n\)-order differential equations
• Positive periodic solutions to a second-order singular differential equation with indefinite weights
• Nondegeneracy and uniqueness of periodic solution for a neutral differential equation
• Positive periodic solution to indefinite singular Liénard equation
• Periodic solutions for a singular Liénard equation with indefinite weight
• Periodic solutions of Liénard equation with a singularity and a deviating argument
• Non-Degeneracy and Periodic Solutions of Semilinear Differential Equations with Deviation
• Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations
• Optimal bounds for bifurcation values of a superlinear periodic problem
• Sur les solutions périodiques des équations différentielles ordinaires

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