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

DOI10.1186/1687-2770-2011-8zbMath1273.34032OpenAlexW2096342735WikidataQ59269586 ScholiaQ59269586MaRDI QIDQ1950073

Shengren Zhong, Yukun An

Publication date: 24 May 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-8

zbMATH Keywords

conepositive solutionfixed point theoremperiodic boundary value problemsign-changing Green's function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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)

Related Items (2)

Existence of positive solutions for periodic boundary value problem with sign-changing Green's function ⋮ A generalization of the compression cone method for integral operators with changing sign kernel functions

Cites Work

• Nonlinear periodic boundary value problems with sign-changing Green's function
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• A periodic boundary value problem with vanishing Green's function

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