Semipositone higher-order differential equations.

DOI10.1016/S0893-9659(04)90033-XzbMath1072.34020MaRDI QIDQ1764496

Donal O'Regan, Said R. Grace, Ravi P. Agarwal

Publication date: 25 February 2005

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

zbMATH Keywords

existencepositive solutionssemipositoneconjugate and \((n,p)\) problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (19)

Positive solutions for 2\(p\)-order and 2\(q\)-order systems of singular boundary value problems with integral boundary conditions ⋮ Higher order semipositone multi-point boundary value problems on time scales ⋮ A generalization of the cone expansion and compression fixed point theorem and applications ⋮ Nonlinear \(n\)-order \(m\)-point semipositive boundary value problems and applications ⋮ Existence of positive solutions for a singular semipositone differential system ⋮ Existence of positive solutions for singular higher-order differential equations ⋮ Positive solutions of nonresonance semipositone singular Dirichlet boundary value problems ⋮ A fundamentally simple approach to a singular boundary value problem ⋮ Positive solution of singular higher-order \(m\)-point boundary value problem with nonlinearity that changes sign ⋮ Existence of positive solutions for second-order third-point semipositive BVP ⋮ Positive solutions to semipositone \((k,n - k)\) conjugate eigenvalue problems ⋮ Positive solutions to a singular third-order three-point boundary value problem with an indefinitely signed Green's function ⋮ Positive solutions of fourth-order Sturm-Liouville boundary value problems with changing sign nonlinearity ⋮ Positive solutions to singular semipositone \(m\)-point \(n\)-order boundary value problems ⋮ Existence of positive solution for singular semi-positone \((k,n - k)\) conjugate \(m\)-point boundary value problem ⋮ Positive solutions for multiparameter semipositone discrete boundary value problems via variational method ⋮ Positive solutions for three-point semipositone boundary value problems with convex nonlinearity ⋮ Existence and uniqueness of solutions for higher-order three-point boundary value problems ⋮ Positive solutions for third order semipositone boundary value problems

Cites Work

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• Singular nonlinear \((k,n-k)\) conjugate boundary value problems
• Positive solutions of semilinear differential equations with singularities
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Existence and nonexistence for a singular boundary value problem

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