The existence of countably many positive solutions for singular multipoint boundary value problems

DOI10.1016/j.na.2009.07.031zbMath1200.34016OpenAlexW2008180618MaRDI QIDQ1049057

Weigao Ge, Zhanbing Bai, Dehong Ji

Publication date: 8 January 2010

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.2009.07.031

zbMATH Keywords

conepositive solutionfixed point indexmultipoint BVP

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (21)

Multiplicity for fractional differential equations with \(p\)-Laplacian ⋮ Positive solutions of nonlinear multi-point boundary value problems ⋮ Exact interval of parameter and two infinite families of positive solutions for a \(n\)th order impulsive singular equation ⋮ Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives ⋮ Positive solutions for a boundary value problem of fractional differential equation with \(p\)-Laplacian operator ⋮ Multipoint boundary value problems of Neumann type for functional differential equations ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Existence of nontrivial solutions for superlinear three-point boundary value problems ⋮ Existence of positive solutions for a thermostat model ⋮ Positive solutions for a system of \(p\)-Laplacian boundary value problems ⋮ Positive radial solutions of \(n\)-dimensional elliptic systems with indefinite weight functions and \(n\) parameters ⋮ Positive solutions to singular system with four-point coupled boundary conditions ⋮ Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition ⋮ Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales ⋮ New Green's function and two infinite families of positive solutions for a second order impulsive singular parametric equation ⋮ Existence and iterative method for some fourth order nonlinear boundary value problems ⋮ Nonlinear singular \(p\)-Laplacian boundary value problems in the frame of conformable derivative ⋮ Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem ⋮ Positive solutions for a system of second-order quasilinear boundary value problems ⋮ On positive solutions for some second-order three-point boundary value problems with convection term ⋮ Positive solutions of a fractional thermostat model with a parameter

Cites Work

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• Multi-point boundary value problems of second-order differential equations. I
• The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems
• Existence of multiple positive solutions for Sturm-Liouville-like four-point boundary value problem with \(p\)-Laplacian
• Solvability of three point boundary value problems at resonance
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