Solution and positive solution of a semilinear third-order equation

DOI10.1007/s12190-008-0121-9zbMath1179.34021OpenAlexW2077013300MaRDI QIDQ1032539

Yuqiang Feng

Publication date: 26 October 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0121-9

zbMATH Keywords

maximum principlepositive solutionupper and lower solutions methodthird-order ordinary differential equation

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 (8)

Positive solutions for third-order boundary value problems with the integral boundary conditions and dependence on the first-order derivatives ⋮ Monotone positive solution of nonlinear third-order BVP with integral boundary conditions ⋮ Positive solutions for third-order boundary value problems with indefinite weight ⋮ The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation ⋮ Infinitely many nodal solutions of superlinear third order two-point boundary value problems ⋮ A novel fixed point iteration method for the solution of third order boundary value problems ⋮ Oscillation for third-order nonlinear differential equations with deviating argument ⋮ New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method

Cites Work

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• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• The existence of solution for a third-order two-point boundary value problem
• Topological Transversality: Applications to Third Order Boundary value Problems
• Solutions of Third-Order Differential Equations Relevant to Draining and Coating Flows
• Multiplicity results for a third order boundary value problem at resonance
• Differential inequalities and existence theorems for second and third order boundary value problems
• On Kneser solutions of nonlinear third-order differential equations

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