Existence and uniqueness for two-point boundary value problems

DOI10.1017/S0308210500020072zbMath0461.34011OpenAlexW2099664196MaRDI QIDQ3910771

Sarah Brown, John V. Baxley

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500020072

zbMATH Keywords

unique solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

A topological principle and its application on a nonlinear two-point boundary value problem for functional differential equations ⋮ On the existence of solutions of boundary value problems for second order differential equations ⋮ Nonlinear fourth-order two-point boundary value problems ⋮ Existence and uniqueness for nonlinear boundary value problems on infinite intervals ⋮ Existence and uniqueness of solutions for third-order nonlinear boundary value problems ⋮ Existence theorems for nonlinear second order boundary value problems ⋮ Existence and uniqueness of solutions for \(n\)th-order nonlinear two-point boundary value problems ⋮ A topological method and its application on a general boundary value problem ⋮ An existence theorem for a nonlinear two-point boundary value problem ⋮ A topological method for vector-valued and n th-order nonlinear boundary value problems ⋮ Existence of solutions to boundary value problems for second order differential equations ⋮ Nonlinear second order boundary value problems: Continuous dependence and periodic boundary conditions ⋮ Nonlinear second-order boundary value problems: Intervals of existence, uniqueness and continuous dependence

Cites Work

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• Global existence and uniqueness for second-order ordinary differential equations
• Dependence on boundary data and a generalized boundary-value problem
• An Elementary Proof of the Existence of Solutions to Second Order Nonlinear Boundary Value Problems
• Existence theory for two point boundary value problems

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