A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type

DOI10.1186/s13660-016-1285-8zbMath1358.34046OpenAlexW2586101052WikidataQ37639518 ScholiaQ37639518MaRDI QIDQ509972

Shiping Lu

Publication date: 16 February 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1285-8

zbMATH Keywords

periodic solutionsingularitytopological degreeLiénard equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

Related Items (7)

Existence of periodic solutions of a Liénard equation with a singularity of repulsive type ⋮ Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type ⋮ Periodic solution for \(p\)-Laplacian Rayleigh equation with attractive singularity and time-dependent deviating argument ⋮ Attractive singularity problems for superlinear Liénard equation ⋮ A new result on the existence of periodic solutions for Rayleigh equation with a singularity ⋮ Singularity problems to fourth-order Rayleigh equation with time-dependent deviating argument ⋮ Positive periodic solution to indefinite singular Liénard equation

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