Positive solutions for singular second order Neumann boundary value problems via a cone fixed point theorem

DOI10.1016/J.AMC.2008.11.025zbMath1167.34313OpenAlexW1984203400MaRDI QIDQ1015784

Yan Sun, Yeol Je Cho, Donal O'Regan

Publication date: 30 April 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.025

zbMATH Keywords

fixed point theorypositive solutionsingular Neumann boundary value problem

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)

Related Items (14)

On the linear and nonlinear discrete second-order Neumann boundary value problems ⋮ Existence of positive solutions for second-order undamped Sturm–Liouville boundary value problems ⋮ Unnamed Item ⋮ Oscillating global continua of positive solutions of second order Neumann problem with a set-valued term ⋮ Fixed points of Hammerstein-type equations on general cones ⋮ Unnamed Item ⋮ Existence and multiplicity of solutions of Stieltjes differential equations via topological methods ⋮ A class of singular \(n\)-dimensional impulsive Neumann systems ⋮ Existence of one-signed solutions of nonlinear four-point boundary value problems ⋮ Existence of positive solutions for higher order \(p\)-Laplacian boundary value problems ⋮ Neumann boundary value problems with not coercive potential ⋮ Multiple solutions for a second-order impulsive Sturm-Liouville equation ⋮ Positive solutions for third-order variable-coefficient nonlinear equation with weak and strong singularities ⋮ Existence of positive solutions for Neumann boundary value problem with a variable coefficient

Cites Work

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• Positive solutions for \((p,n-p)\) conjugate boundary value problems
• Nonlinear superlinear singular and nonsingular second order boundary value problems
• Singular boundary value problems for superlinear second order ordinary and delay differential equations
• Existence and uniqueness results for some nonlinear boundary value problems
• Existence of positive radial solutions for elliptic systems
• A nonlinear singular boundary value problem
• SINGULAR DIRICHLET BOUNDARY VALUE PROBLEMS—I. SUPERLINEAR AND NONRESONANT CASE
• Topological degree method in functional boundary value problems at resonance

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