Uniqueness of solutions of linear nonlocal boundary value problems

DOI10.1016/j.aml.2006.06.024zbMath1158.34309OpenAlexW2056887357MaRDI QIDQ952723

Johnny Henderson, Curtis Kunkel

Publication date: 14 November 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.06.024

zbMATH Keywords

nonlocaltrivial solutionlinear boundary value problem

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (11)

A new reproducing kernel method for linear nonlocal boundary value problems ⋮ Solving a class of linear nonlocal boundary value problems using the reproducing kernel ⋮ An efficient method for solving a class of nonlocal boundary value problems and error estimate ⋮ An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems ⋮ A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method ⋮ A simple NSC-RKHS algorithm for solving linear boundary value problems -- Error bounds and implementations ⋮ An optimal reproducing kernel method for linear nonlocal boundary value problems ⋮ Spline reproducing kernels on \(\mathbb{R}\) and error bounds for piecewise smooth LBV problems ⋮ An effective computational method for solving linear multi-point boundary value problems ⋮ A new algorithm based on differential transform method for solving multi-point boundary value problems ⋮ A numerical algorithm for solving a class of linear nonlocal boundary value problems

Cites Work

• k-point disconjugacy and disconjugacy for linear differential equations
• A nonlocal heat flow problem
• Properties of solutions of Nth order linear differential equations
• On a nonlinear nonlocal ODE arising in magnetic recording
• On a theorem of O. Arama
• Positive solutions to a system of second-order nonlocal boundary value problems
• Uniqueness implies existence and uniqueness criterion for nonlocal boundary value problems for third order differential equations
• On Disconjugacy and k-Point Disconjugacy for Linear Ordinary Differential Operators
• On The Existence of a Countable Set of Positive Solutions for a Nonlocal Boundary-Value Problem with Vector-Valued Response
• A Theorem of Aliev

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