Periodic solutions for a singular Liénard equation with indefinite weight

DOI10.12775/TMNA.2019.037zbMath1472.34080MaRDI QIDQ2336086

Runyu Xue, Shiping Lu

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1563242559

zbMATH Keywords

periodic solutionsingularityLiénard equationMawhin's continuation theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonautonomous smooth dynamical systems (37C60)

Related Items (8)

Existence of positive periodic solutions for super-linear neutral Liénard equation with a singularity of attractive type ⋮ Periodic wave solutions of a non-Newtonian filtration equation with an indefinite singularity ⋮ Positive periodic solution for \(p\)-Laplacian Rayleigh equation with weak and strong singularities of repulsive type ⋮ Positive periodic solutions of singular third-order functional differential equations with \(p\)-Laplacian-like operators ⋮ A fast and efficient scheme for solving a class of nonlinear Lienard's equations ⋮ New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay ⋮ Nondegeneracy and uniqueness of periodic solution for a Liénard equation ⋮ A singular periodic Ambrosetti–Prodi problem of Rayleigh equations without coercivity conditions

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