Solution and positive solution for a semilinear third-order two-point boundary value problem.

DOI10.1016/j.aml.2003.09.011zbMath1061.34012OpenAlexW2091610966MaRDI QIDQ1767202

Qing-liu Yao

Publication date: 7 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.aml.2003.09.011

zbMATH Keywords

ExistenceLeray-Schauder fixed-point theoremTwo-point boundary value problemSemilinear third-order ordinary differential equationSolution and positive solution

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 (11)

Positive solutions for resonant and nonresonant nonlinear third-order multipoint boundary value problems ⋮ Existence of solution and positive solution for a nonlinear third-order \(m\)-point BVP ⋮ Solvability of a class of elastic beam equations with strong Carathéodory nonlinearity. ⋮ Successive iteration of positive solution for a discontinuous third-order boundary value problem ⋮ Existence of a solution and a positive solution of a boundary value problem for a nonlinear fourth-order dynamic equation ⋮ Positive solution to a special singular second-order boundary value problem ⋮ Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation ⋮ On the existence of multiple solutions of a class of third-order nonlinear two-point boundary value problems ⋮ On the existence of positive solutions of resonant and nonresonant multipoint boundary value problems for third-order nonlinear differential equations ⋮ Unnamed Item ⋮ POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

Cites Work

• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• On the positive solutions of Lidstone boundary value problems.
• The existence of solution for a third-order two-point boundary value problem
• Existence of solution for discontinuous third order boundary value problems
• The method of lower and upper solutions for third-order periodic boundary value problems
• Existence and multiplicity of positive radial solutions for a semilinear elliptic equation with change of sign
• Topological Transversality: Applications to Third Order Boundary value Problems
• Multiplicity results for a third order boundary value problem at resonance
• Differential inequalities and existence theorems for second and third order boundary value problems
• Existence and uniqueness of solutions of boundary value problems for third order differential equations

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