Successive iteration of positive solution for a discontinuous third-order boundary value problem

DOI10.1016/j.camwa.2006.12.007zbMath1149.34316OpenAlexW2050016402MaRDI QIDQ2459618

Qing-liu Yao

Publication date: 7 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.12.007

zbMATH Keywords

positive solutionboundary value problemnonlinear differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (12)

Monotonically iterative method of nonlinear cantilever beam equations ⋮ Monotone positive solution of nonlinear third-order BVP with integral boundary conditions ⋮ Nonnegative solutions of fractional functional differential equations ⋮ Solvability of a class of elastic beam equations with strong Carathéodory nonlinearity. ⋮ Iterative solutions of singular boundary value problems of third-order differential equation ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP with \(p\)-Laplacian ⋮ Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces ⋮ Existence and uniqueness of a nontrivial solution for a class of third-order nonlinear \(p\)-Laplacian \(m\)-point eigenvalue problems on time scales ⋮ Eigenvalue problems for nonlinear third-orderm-pointp-Laplacian dynamic equations on time scales ⋮ An iterative method for a class of quasilinear boundary value problems ⋮ Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem ⋮ Successively iterative technique of a classical elastic beam equation with Carathéodory nonlinearity

Cites Work

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• Successive iteration and positive solution for nonlinear second-order three-point boundary value problems
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• Positive solutions to the classical Gelfand model with coefficient that change sign
• Monotone iterative technique and positive solutions of lidstone boundary value problems.
• Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems.
• The existence of solution for a third-order two-point boundary value problem
• Solution and positive solution for a semilinear third-order two-point boundary value problem.
• Existence and iteration of \(n\) symmetric positive solutions for a singular 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
• Topological Transversality: Applications to Third Order Boundary value Problems
• 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
• Extremality and comparison results for discontinuous third order functional initial-boundary value problems

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