Multiplicity of positive solutions to second-order singular differential equations with a parameter

DOI10.1186/1687-2770-2014-115zbMath1308.34031OpenAlexW2169509439WikidataQ59323660 ScholiaQ59323660MaRDI QIDQ476973

Shengjun Li, Fang-Fang Liao, Hai-Long Zhu

Publication date: 2 December 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-115

zbMATH Keywords

positive solutionssingularguo-krasnosel'skii fixed point theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Green's functions for ordinary differential equations (34B27) 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) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (5)

Periodic orbits of radially symmetric Keplerian-like systems with a singularity ⋮ Multiplicity of positive periodic solutions to nonlinear boundary value problems with a parameter ⋮ Multiplicity of positive periodic solutions to second order singular dynamical systems ⋮ Multiple positive solutions of second-order nonlinear difference systems with repulsive singularities ⋮ Existence of solutions for singular second-order ordinary differential equations with periodic and deviated nonlocal multipoint boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple positive doubly periodic solutions for a singular semipositone telegraph equation with a parameter
• Positive solutions for nonlinear differential equations with periodic boundary condition
• Positive periodic solutions of singular systems with a parameter
• Infinitely many \(T\)-periodic solutions for a problem arising in nonlinear elasticity
• Existence and multiplicity results for nonlinear differential equations depending on a parameter in semipositone case
• On the number of positive solutions of nonlinear systems.
• Forced singular oscillators and the method of lower and upper solutions
• Multiplicity of positive periodic solutions to superlinear repulsive singular equations
• New criteria for the existence of non-trivial fixed points in cones
• A generalized anti-maximum principle for the periodic one-dimensional \(p\)-Laplacian with sign-changing potential
• Periodic Solutions of a Singular Equation With Indefinite Weight
• Applications of Schauder's fixed point theorem to singular differential equations
• MAXIMUM PRINCIPLES AROUND AN EIGENVALUE WITH CONSTANT EIGENFUNCTIONS
• Conservative Dynamical Systems Involving Strong Forces
• Higher order non‐resonance for differential equations with singularities
• On Periodic Solutions of Nonlinear Differential Equations with Singularities
• Periodic solutions of singular systems without the strong force condition
• Multiplicity of positive periodic solutions to second order differential equations
• Periodic Solutions of Equations of Emarkov-Pinney Type
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

This page was built for publication: Multiplicity of positive solutions to second-order singular differential equations with a parameter