Multiple positive solutions for second-order four-point boundary value problem

DOI10.1016/J.CAMWA.2007.03.014zbMath1145.34320OpenAlexW1974370322MaRDI QIDQ929115

Huihui Pang, Hairong Lian, Weigao Ge

Publication date: 12 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.03.014

zbMATH Keywords

coneboundary value problemfixed point theorem\(p\)-Laplacianmultiple positive solutions

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (12)

Existence and iterative solutions of a new kind of Sturm-Liouville-type boundary value problem with one-dimensional \(p\)-Laplacian ⋮ Existence and non-existence of positive solutions of Sturm-Liouville BVPs for ODEs on whole line ⋮ Multiple positive solutions for nonlinear boundary value problem of fractional order differential equation with the Riemann-Liouville derivative ⋮ Existence and uniqueness of positive solutions for some singular boundary value problems with linear functional boundary conditions ⋮ Existence of three solutions to a second-order nonhomogeneous multipoint boundary-value problem ⋮ Positive solutions for fractional four-point boundary value problems ⋮ Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative ⋮ THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE ⋮ A quasilinearization method for second-order four-point boundary value problems ⋮ Existence of positive solutions for Sturm-Liouville-like boundary value problem with \(p\)-Laplacian on time scales ⋮ Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem ⋮ Studies on a multi-point boundary value problem for second order differential equation with p-Laplacian

Cites Work

• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Triple solutions for second-order three-point boundary value problems
• Multiple positive solutions for some \(p\)-Laplacian boundary value problems
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