Multi-point boundary value problems of second-order differential equations. I

DOI10.1016/j.na.2004.03.033zbMath1066.34012OpenAlexW2058862623MaRDI QIDQ1883105

Lingju Kong, Qing Kai Kong

Publication date: 1 October 2004

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.2004.03.033

zbMATH Keywords

lower and upper solutionsmultipoint boundary value problemexistence and nonexistence of solutionsnonlinear second-order equations

Mathematics Subject Classification ID

Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (27)

Positive solution for fourth-order \(m\)-point nonhomogeneous boundary value problems ⋮ Positive solutions of even order system periodic boundary value problems ⋮ On numerical studies of multi-point boundary value problem and its fold bifurcation ⋮ Second-order boundary value problems with nonhomogeneous boundary conditions. II ⋮ Multipoint boundary value problems of Neumann type for functional differential equations ⋮ Existence of three solutions to a second-order nonhomogeneous multipoint boundary-value problem ⋮ The numerical solution of a nonlocal boundary value problem for an ordinary second-order differential equation by the finite difference method ⋮ Positive solutions for three-point boundary value problems with a non-well-ordered upper and lower solution condition ⋮ Existence of positive solutions for second-order \(m\)-point boundary value problems on time scales ⋮ Existence of three monotone solutions of nonhomogeneous multipoint BVPs for second-order differential equations ⋮ Three solutions of an \(n\)th order three-point focal type boundary value problem ⋮ Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order ⋮ Existence of multiple positive solutions for Sturm-Liouville-like four-point boundary value problem with \(p\)-Laplacian ⋮ Positive solutions for higher order multi-point boundary value problems with nonhomogeneous boundary conditions ⋮ A multiplicity result for a singular generalized Sturm-Liouville boundary value problem ⋮ Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems ⋮ Monotone positive solutions of second-order multi-point boundary value problems ⋮ Multiple fixed-sign solutions for a system of higher order three-point boundary-value problems with deviating arguments ⋮ Second-order boundary value problems with integral boundary conditions ⋮ SOLVABILITY OF NEUMANN TYPE NON-HOMOGENEOUS MULTI-POINT BVP FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN ⋮ Positive solutions for third-order three-point nonhomogeneous boundary value problems ⋮ Three positive solutions of nonhomogeneous multi-point BVPs for second order \(p\)-Laplacian functional difference equations ⋮ Symmetric solutions of a multi-point boundary value problem ⋮ Existence and multiplicity results for a class of generalized one-dimensional \(p\)-Laplacian problem ⋮ The existence of countably many positive solutions for singular multipoint boundary value problems ⋮ Existence of positive solutions for nonlinear singular boundary value problem with p -Laplacian ⋮ Exact multiplicity of solutions for a class of singular generalized one-dimensional \(p\)-Laplacian problem

Cites Work

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• Positive solutions and conjugate points for multipoint boundary value problems
• Multipoint boundary value problems for ordinary differential systems
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary value problems
• Solvability of an \(m\)-point boundary value problem for second order ordinary differential equations
• Multiplicity results for a three-point boundary value problem at resonance.
• Positive solutions for second-order \(m\)-point boundary value problems
• Solvability of three point boundary value problems at resonance
• THE METHOD OF QUASILINEARIZATION AND A THREE-POINT BOUNDARY VALUE PROBLEM
• Positive Solutions of Nonlinearm-point Boundary Value Problems on a Measure Chain
• A dirichlet type multi-point boundary value problem for second order ordinary differential equations
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

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