Multiplicity of positive periodic solutions to second order singular dynamical systems

DOI10.1007/S00009-017-1000-0zbMath1391.34056OpenAlexW2754489990MaRDI QIDQ1679426

Yanhua Wang, Shengjun Li

Publication date: 9 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-1000-0

zbMATH Keywords

existencepositive solutionsingular systemsfixed point theorem in conesLeray-Schauder alternative principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (6)

Multiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems ⋮ Positive periodic solution to a generalized Lazer-Solimini equation with indefinite weights ⋮ Second-order differential equation with indefinite and repulsive singularities ⋮ Positive periodic solution to an indefinite singular equation ⋮ Multiple positive solutions of second-order nonlinear difference systems with repulsive singularities ⋮ Positive periodic solution for a second-order damped singular equation via fixed point theorem in cones

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The existence and multiplicity of positive solutions for second-order periodic boundary value problem
• Multiplicity of positive solutions to second-order singular differential equations with a parameter
• Positive periodic solutions of singular systems with a parameter
• Collisionless orbits of singular and non singular dynamical systems
• Critical points with lack of compactness and singular dynamical systems
• On the number of positive solutions of nonlinear systems.
• Multiplicity of positive periodic solutions to superlinear repulsive singular equations
• Remarks on periodic orbits of dynamical systems with repulsive singularities
• Noncollision periodic solutions to some singular dynamical systems with very weak forces
• The existence and multiplicity of solutions for second-order impulsive differential equations on the half-line
• Existence of non-collision periodic solutions for second order singular dynamical systems
• Variational methods to fourth-order impulsive differential equations
• EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE
• Periodic Solutions of a Singular Equation With Indefinite Weight
• On the existence of solutions for singular boundary value problem of third-order differential equations
• Conservative Dynamical Systems Involving Strong Forces
• Higher order non‐resonance for differential equations with singularities
• On Periodic Solutions of Nonlinear Differential Equations with Singularities

This page was built for publication: Multiplicity of positive periodic solutions to second order singular dynamical systems