Existence of periodic solutions for second-order differential equations with singularities and the strong force condition

DOI10.1016/j.jmaa.2004.07.016zbMath1100.34033OpenAlexW2038808692MaRDI QIDQ819990

Rogério Ferreira Martins

Publication date: 6 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.016

zbMATH Keywords

periodic solutionsingularityrepulsive force

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (23)

Homoclinic solutions for a second-order singular differential equation ⋮ 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 ⋮ Existence of positive periodic solutions for super-linear neutral Liénard equation with a singularity of attractive type ⋮ Multiplicity of positive periodic solutions of Rayleigh equations with singularities ⋮ A new result on the existence of periodic solutions for Rayleigh equations with a singularity of repulsive type ⋮ Periodic solutions for \(p\)-Laplacian Rayleigh equations with singularities ⋮ Periodic solution for \(p\)-Laplacian Rayleigh equation with attractive singularity and time-dependent deviating argument ⋮ Existence of positive periodic solutions for a neutral Liénard equation with a singularity of repulsive type ⋮ Multiple positive periodic solutions for second-order differential equations with a singularity ⋮ Existence results of periodic solutions for third‐order nonlinear singular differential equation ⋮ Attractive singularity problems for superlinear Liénard equation ⋮ Second-order differential equation with indefinite and repulsive singularities ⋮ A new result on the existence of periodic solutions for Rayleigh equation with a singularity ⋮ Periodic solutions to the Liénard type equations with phase attractive singularities ⋮ Periodic solutions for Liénard equation with an indefinite singularity ⋮ Positive periodic solutions to impulsive delay differentialequations ⋮ A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type ⋮ Unnamed Item ⋮ Periodic solutions for second order differential equations with indefinite singularities ⋮ Existence of positive periodic solutions for the Liénard differential equations with weakly repulsive singularity ⋮ Existence of positive periodic solutions for third-order differential equation with strong singularity ⋮ Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem

Cites Work

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• Large-amplitude subharmonic oscillations for scalar second-order differential equations with asymmetric nonlinearities
• Periodic solutions of Liénard equations with singular forces of repulsive type
• Necessary and sufficient conditions for the existence of periodic solutions of second-order ordinary differential equations with singular nonlinearities
• Subharmonic Solutions for Some Second-Order Differential Equations with Singularities
• Periodic Solutions of some Lienard Equations with Singularities
• Subharmonic Solutions of Conservative Systems with Nonconvex Potentials
• Conservative Dynamical Systems Involving Strong Forces
• On Periodic Solutions of Nonlinear Differential Equations with Singularities

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