Existence and multiplicity of positive periodic solutions to a class of Liénard equations with repulsive singularities

DOI10.1007/s11784-022-00983-4OpenAlexW4297833945MaRDI QIDQ2675381

Xingchen Yu, Yong-Wei Miao, Ben Wang, JinRong Wang

Publication date: 23 September 2022

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-022-00983-4

zbMATH Keywords

Liénard systemperiodic solutiondegree theoryrepulsive singularity

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) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• A singular periodic Ambrosetti–Prodi problem of Rayleigh equations without coercivity conditions

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