A note on singular nonlinear boundary value problems

DOI10.1016/j.jmaa.2003.12.017zbMath1057.34007OpenAlexW1999943094MaRDI QIDQ1827073

Xian Xu, Jipu Ma

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.017

zbMATH Keywords

positive solutionsingular boundary value problemfixed-point index

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (16)

Solving singular two-point boundary value problem in reproducing kernel space ⋮ A new method for solving a class of singular two-point boundary value problems ⋮ A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems ⋮ Sinc-Galerkin and sinc-collocation methods in the solution of nonlinear two-point boundary value problems ⋮ Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure ⋮ EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH A GENERAL INDEFINITE WEIGHT ⋮ Existence and multiplicity of positive solutions for nonlinear boundary value problems with a parameter ⋮ Triple positive solutions for a type of second-order singular boundary problems ⋮ Existence of positive solutions of a singular nonlinear boundary value problem ⋮ Eigenvalues of a class of singular boundary value problems of impulsive differential equations in Banach spaces ⋮ Global structure of positive solution sets of nonlinear operator equations ⋮ Existence and multiplicity results for nonlinear boundary value problems ⋮ Existence and multiplicity of solutions for some three-point nonlinear boundary value problems ⋮ A global bifurcation phenomenon for second order singular boundary value problems ⋮ Solving singular nonlinear boundary value problems by combining the homotopy perturbation method and reproducing kernel Hilbert space method ⋮ Existence of positive solutions for singular boundary value problems involving the one-dimensional \(p\)-Laplacian

Cites Work

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• A singular boundary value problem arising from near-ignition analysis of flame structure
• Multiplicity of positive radial solutions for an elliptic system on an annulus
• Multiple positive fixed points of asymptotically linear maps
• Existence of positive solutions of singular boundary value problems
• Positive solutions of singular boundary value problems
• Existence of multiple positive solutions of singular boundary value problems
• Positive solutions for singular nonlinear boundary value problems

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