Uniqueness implies existence for three-point boundary value problems for dynamic equations.

DOI10.1016/j.am1.2003.08.015zbMath1062.34012OpenAlexW1972286727MaRDI QIDQ1767241

Johnny Henderson, W. K. C. Yin, Christopher C. Tisdell

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.am1.2003.08.015

zbMATH Keywords

Boundary value problemTime scaleShooting methodDynamic equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

Dynamic boundary value problems of the second-order: Bernstein-Nagumo conditions and solvability ⋮ Two-point boundary value problems for ordinary differential equations, uniqueness implies existence ⋮ Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling ⋮ Existence of solutions for fourth-order four-point boundary value problem on time scales ⋮ Positive solutions to singular and delay higher-order differential equations on time scales

Cites Work

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• Existence theorems for boundary value problems of \(n\)-th order ordinary ifferential equations
• Focal boundary value problems for nonlinear difference equations. I
• Existence theorems for a second order three-point boundary value problem
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary value problems
• Twin \(n\)-point boundary value problems.
• Existence of solutions for third-order boundary value problems on a time scale
• Existence Theorems for Boundary Value Problems for nth-Order Nonlinear Difference Equations
• Existence of solutions of right focal point boundary value problems for ordinary differential equations
• Existence–Uniqueness for Focal-Point Boundary Value Problems
• Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem
• On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations
• Existence and uniqueness of solutions of boundary value problems for third order differential equations
• Uniqueness implies existence on time scales

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