Global structure of positive solutions for superlinear second-order periodic boundary value problems

DOI10.1016/j.amc.2011.11.079zbMath1254.34039OpenAlexW2021166289MaRDI QIDQ434614

Xiaoling Han, Jia Xu, Ru Yun Ma

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.079

zbMATH Keywords

positive solutionseigenvaluesbifurcation methodsmultiplicity results

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

Three positive solutions for second-order periodic boundary value problems with sign-changing weight ⋮ Reversed S-shaped connected component for second-order periodic boundary value problem with sign-changing weight ⋮ Global structure of positive solutions for semipositone nonlinear Euler-Bernoulli beam equation with Neumann boundary conditions ⋮ A periodic boundary value problem with switchings under nonlinear perturbations ⋮ Existence and multiplicity of periodic solutions for a class of second-order ordinary differential equations ⋮ Existence of positive solutions for a kind of periodic boundary value problem at resonance ⋮ Existence Results for Periodic Boundary Value Problems with a Convenction Term ⋮ Multiple positive solutions for singular semipositone periodic boundary value problems with derivative dependence ⋮ Spectrum and global bifurcation results for nonlinear second-order problem on all of \(\mathbb{R}\) ⋮ Unilateral global interval bifurcation theorem for periodic \(p\)-Laplacian and its applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• Periodic solutions of some nonlinear, autonomous functional differential equations. II
• Global bifurcation of periodic solutions to ordinary differential equations
• Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces
• Bifurcation from infinity and multiple solutions for periodic boundary value problems
• Nodal solutions for nonlinear eigenvalue problems
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Positive solutions of nonlinear second-order periodic boundary value problems
• Positive periodic solutions of systems of second order ordinary differential equations
• Some global results for nonlinear eigenvalue problems
• Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

This page was built for publication: Global structure of positive solutions for superlinear second-order periodic boundary value problems