Positive solutions of sublinear Sturm-Liouville problems with changing sign nonlinearity

DOI10.1016/J.CAMWA.2009.07.059zbMath1197.34040OpenAlexW2038507033MaRDI QIDQ979846

Jingxian Sun, Hong-Yu Li

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.059

zbMATH Keywords

positive solutionglobal structuretopological methodsnonlinear Sturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (13)

Positive solutions for a system of Neumann boundary value problems of second-order difference equations involving sign-changing nonlinearities ⋮ A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems ⋮ Positive solutions of sub-superlinear Sturm-Liouville problems ⋮ Sturm-Liouville BVP in Banach space ⋮ Constant-sign and sign-changing solutions for the Sturm-Liouville boundary value problems ⋮ Positive solutions of superlinear semipositone nonlinear boundary value problems ⋮ Existence and multiplicity of positive solutions for nonlinear boundary value problems with a parameter ⋮ Positive solutions for Sturm-Liouville boundary value problems in a Banach space ⋮ Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity ⋮ Two Whyburn type topological theorems and its applications to Monge-Ampère equations ⋮ Systems of nonlinear Sturm-Liouville problems -- the dependence of solutions on functional parameters ⋮ Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation ⋮ Solutions for integral boundary value problems of nonlinear Hadamard fractional differential equations

Cites Work

• Twin solutions to singular semipositone problems.
• Multiple positive solutions of singular third-order periodic boundary value problem
• A note on singular nonlinear two-point boundary-value problems
• Some global results for nonlinear eigenvalue problems
• A note on existence of nonnegative solutions to singular semi-positone problems
• Boundary-irregular solutions to singular boundary value problems
• Positive solutions of singular boundary value problems
• Positive solutions for singular nonlinear boundary value problems
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