Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type

DOI10.1186/S13661-018-1020-0zbMath1499.34246OpenAlexW2811169423MaRDI QIDQ2126411

Xingchen Yu, Shiping Lu

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-1020-0

zbMATH Keywords

periodic solutionsingularityboundary value problemupper and lower functions

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)

Related Items (7)

Positive periodic solution for indefinite singular Liénard equation with \(p\)-Laplacian ⋮ Existence and multiplicity of periodic solutions to differential equations with attractive singularities ⋮ Attractive singularity problems for superlinear Liénard equation ⋮ Second-order differential equation with indefinite and repulsive singularities ⋮ A multiplicity result for periodic solutions of Liénard equations with an attractive singularity ⋮ New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay ⋮ Dynamics of a discrete allelopathic phytoplankton model with infinite delays and feedback controls

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