Existence of positive solutions of second-order periodic boundary value problems with sign-changing Green's function

DOI10.1007/S10255-017-0657-2zbMath1370.34044OpenAlexW2607823466MaRDI QIDQ2013025

Fei Zhang, Chenghua Gao, Ru Yun Ma

Publication date: 3 August 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-017-0657-2

zbMATH Keywords

existencepositive solutionsperiodic boundary value problemsign-changing Green's functions

Mathematics Subject Classification ID

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) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Positive solutions of Neumann problems for a discrete system coming from models of house burglary ⋮ Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function ⋮ Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function

Cites Work

• 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
• Positive solutions to a class of elliptic boundary value problems
• On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations
• Bifurcation from infinity and multiple solutions for periodic boundary value problems
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem

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