Positive solutions for a multi-parameter system of second-order ordinary differential equations

DOI10.1007/S11425-011-4213-XzbMath1234.34022OpenAlexW2089317780MaRDI QIDQ544871

Xi-you Cheng, Zhi-tao Zhang

Publication date: 16 June 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4213-x

zbMATH Keywords

positive solutionfixed point indexordinary differential systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (7)

Positive solutions for boundary value problems of a class of second-order differential equation system ⋮ Positive radial solutions of \(n\)-dimensional elliptic systems with indefinite weight functions and \(n\) parameters ⋮ Solvability of boundary value problems for coupled impulsive differential equations with one-dimensional p-Laplacians ⋮ A multiplicity result of positive solutions for a class of multi-parameter ordinary differential systems ⋮ Existence of unbounded solutions of boundary value problems for singular differential systems on whole line ⋮ Bifurcation analysis for a singular differential system with two parameters via to topological degree theory ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On the existence of positive radial solutions for nonlinear elliptic equations in annular domains
• Positive solutions for a class of multiparameter ordinary elliptic systems
• Existence of positive solutions for a class of second-order ordinary differential systems
• Positive solutions of semilinear differential equations with singularities
• Multiplicity of positive radial solutions for an elliptic system on an annulus
• Local superlinearity for elliptic systems involving parameters
• Existence of positive radial solutions for elliptic systems
• Existence of positive solutions for a second-order ordinary differential system
• Existence and multiplicity of positive solutions for elliptic systems
• Multiplicity of positive radial solutions for multiparameter semilinear elliptic systems on an annulus
• A multiplicity result of positive radial solutions for a multiparameter elliptic system on an exterior domain

This page was built for publication: Positive solutions for a multi-parameter system of second-order ordinary differential equations