Existence of solutions for third-order boundary value problems on a time scale

DOI10.1016/S0898-1221(03)00091-9zbMath1057.39011MaRDI QIDQ1827169

Johnny Henderson, W. K. C. Yin

Publication date: 6 August 2004

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

zbMATH Keywords

nonlinearboundary value problemshooting methodstime scaledynamic equationsthird order equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12)

Related Items (12)

Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations ⋮ Third-order boundary value problems with sign-changing solutions ⋮ Positive solutions of M-point boundary value problem for second-order dynamic equations on time scales† ⋮ Twin positive solutions of a nonlinear \(m\)-point boundary value problem for third-order \(p\)-Laplacian dynamic equations on time scales ⋮ Existence of a solution and a positive solution of a boundary value problem for a nonlinear fourth-order dynamic equation ⋮ Uniqueness implies existence for three-point boundary value problems for dynamic equations. ⋮ Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation ⋮ Existence of monotone positive solutions to a third order two-point generalized right focal boundary value problem ⋮ Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with \(p\)-Laplacian ⋮ Third order right focal boundary value problems on a time scale ⋮ Uniqueness implies existence for three-point boundary value problems for second order differential equations ⋮ Multiple positive solutions for a fourth-order \(p\)-Laplacian Sturm-Liouville boundary value problems on time scales

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Existence theorems for boundary value problems of \(n\)-th order ordinary ifferential equations
• Focal boundary value problems for nonlinear difference equations. I
• Focal boundary value problems for nonlinear difference equations. II
• Uniqueness of solutions of right focal point boundary value problems for ordinary differential equations
• Basic calculus on time scales and some of its applications
• Sturmian theory on measure chains
• Eigenvalue problems for nonlinear differential equations on a measure chain
• Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions
• Existence Theorems for Boundary Value Problems for nth-Order Nonlinear Difference Equations
• Quadratic functionals for second order matrix equations on time scales
• Positive solutions and eigenvalues of conjugate boundary value problems
• Eigenvalue conditions and positive solutions
• Multiple solutions for 2mth order sturm—lioville boundary value problems on a measure chain
• On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations
• Uniqueness of Solutions of Boundary Value Problems for Ordinary Differential Equations
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