Positive solutions for nonlinear \(m\)-point boundary value problems of Dirichlet type via fixed-point index theory

DOI10.1016/S0893-9659(03)90009-7zbMath1070.34039OpenAlexW2163181269MaRDI QIDQ1431830

Lishun Ren, Ru Yun Ma

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)90009-7

zbMATH Keywords

conepositive solutionsmultipoint boundary value problemfixed-point index

Mathematics Subject Classification ID

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)

Positive solutions to a multi-point higher order boundary value problem ⋮ The spectral analysis for a singular fractional differential equation with a signed measure ⋮ Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions ⋮ Existence results of 2m-point boundary value problem of Sturm-Liouville type with sign changing nonlinearity ⋮ A variational approach to the eigenvalue problem for higher order BVPs with singular nonlinearities ⋮ Eigenvalue intervals for higher order problems with singular nonlinearities ⋮ Three solutions of an \(n\)th order three-point focal type boundary value problem ⋮ Existence theorems for a second order nonlinear differential equation with nonlocal boundary conditions and their applications ⋮ Positive solutions for second order impulsive differential equations with integral boundary conditions ⋮ Multiple positive eigenfunctions of singular Hammerstein integral equations with applications to boundary value problems ⋮ WELL ORDERED MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR SECOND ORDER FOUR POINT DIRICHLET BVPS ⋮ Necessary and sufficient conditions for the existence of positive solutions of fourth order multi-point boundary value problems

Cites Work

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• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Positive solutions of semilinear differential equations with singularities
• Existence of positive solutions for semilinear elliptic equations in annular domains
• A sharper condition for the solvability of a three-point second order boundary value problem
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions
• Solvability of three point boundary value problems at resonance

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