Discrete approaches to continuous boundary value problems: existence and convergence of solutions

DOI10.1155/2016/3910972zbMath1470.39010OpenAlexW2510741673WikidataQ59121528 ScholiaQ59121528MaRDI QIDQ1669231

Christopher C. Tisdell, Douglas R. Anderson

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3910972

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (2)

Existence and uniqueness of solutions for the first-order non-linear differential equations with three-point boundary conditions ⋮ Existence and uniqueness of solutions to discrete,third-order three-point boundary value problems

Cites Work

• The method of lower and upper solutions for periodic and anti-periodic difference equations
• Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions
• Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations
• Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations
• The nonexistence of spurious solutions to discrete, two-point boundary value problems
• On first-order discrete boundary value problems
• Discrete First-Order Three-Point Boundary Value Problem
• Difference Equations Associated with Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations
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