Global bifurcation of positive solutions of a second-order periodic boundary value problem with indefinite weight

DOI10.1016/j.na.2011.02.013zbMath1218.34027OpenAlexW2066479427MaRDI QIDQ534477

Xiaoling Han, Jia Xu, Ru Yun Ma

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.02.013

zbMATH Keywords

bifurcationpositive periodic solutionsindefinite weight problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (13)

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 ⋮ Multiplicity of positive periodic solutions to nonlinear boundary value problems with a parameter ⋮ Existence of positive periodic solutions for second-order functional differential equations ⋮ Multiple solutions for nonlinear Dirichlet problems via bifurcation and additional results ⋮ Existence of nonnegative solutions for discrete Robin boundary value problems with sign-changing weight ⋮ Global structure of positive solutions for second order discrete periodic boundary value problem with indefinite weight ⋮ Positive mild solutions of periodic boundary value problems for fractional evolution equations ⋮ On linear and nonlinear fourth-order eigenvalue problems with indefinite weight ⋮ Existence and multiplicity results for nonlinear differential equations depending on a parameter in semipositone case ⋮ Spectrum of discrete second-order difference operator with sign-changing weight and its applications ⋮ Existence of periodic solutions for the forced pendulum equations of variable length ⋮ Unilateral global interval bifurcation theorem for periodic \(p\)-Laplacian and its applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• Existence and multiplicity results for nonlinear periodic boundary value problems
• Bifurcation from interval and positive solutions for second order periodic boundary value problems
• The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
• On the spectral problem for the periodic Camassa-Holm equation
• Bifurcation theory. An introduction with applications of PDEs
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• On bifurcation from infinity
• Some global results for nonlinear eigenvalue problems
• A shallow water equation on the circle
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Integrable Nonlinear Wave Equations and Possible Connections to Tsunami Dynamics
• Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

This page was built for publication: Global bifurcation of positive solutions of a second-order periodic boundary value problem with indefinite weight