The uniqueness of solutions to discrete, vector, two-point boundary value problems

DOI10.1016/S0893-9659(03)90136-4zbMath1054.34006OpenAlexW2007155882MaRDI QIDQ1433218

D. Massart

Publication date: 15 June 2004

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)90136-4

zbMATH Keywords

convergenceuniquenessdifference equationstwo-point boundary value problemssystems of second-order ordinary differential equationsvector equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

A note on the well-posed anisotropic discrete BVPs ⋮ Solvability of discrete Neumann boundary value problems ⋮ Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions ⋮ Non-spurious solutions to discrete boundary value problems through variational methods ⋮ On first-order discrete boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On multipoint boundary value problems for discrete equations
• Existence theorems for nonlinear second order boundary value problems
• Constructive existence and uniqueness for two-point boundary-value problems with a linear gradient term
• On the numerical solution of two point discrete boundary value problems
• Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations
• Topological methods for some boundary value problems
• 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
• Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations
• On boundary value problems for second order discrete systems
• Difference Equations Associated with Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations
• A discrete boundary value problem

This page was built for publication: The uniqueness of solutions to discrete, vector, two-point boundary value problems