Nontrivial solutions of singular nonlinear \(m\)-point boundary value problems.

DOI10.1016/S0022-247X(03)00365-2zbMath1042.34031MaRDI QIDQ1406987

Xiaoying Liu

Publication date: 7 September 2003

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

zbMATH Keywords

singular \(m\)-point boundary value problemfixed-point theorem in cones

Mathematics Subject Classification ID

Fixed-point theorems (47H10) 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

On sign-changing solution for some three-point boundary value problems, Green's function and positive solutions of \(n\)th order \(m\)-point boundary value problem, On numerical studies of multi-point boundary value problem and its fold bifurcation, Multiplicity results for positive solutions of some semi-positone three-point boundary value problems, Existence of symmetric positive solutions for an \(m\)-point boundary value problem, Existence and multiplicity of solutions for some three-point nonlinear boundary value problems, Monotone positive solutions of second-order multi-point boundary value problems

Cites Work

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• A generalized multi-point boundary value problem for second order ordinary differential equations
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Computation for topological degree and its applications
• Existence of solutions of nonlinear \(m\)-point boundary-value problems