We investigate difference equations which arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations. We formulate conditions under which all solutions to the discrete problem satisfy certain a priori bounds which axe independen
The uniqueness of solutions to discrete, vector, two-point boundary value problems
โ Scribed by C.C. Tisdell
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 510 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
Difference equations which may arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations are investigated and conditions are formulated under which solutions to the discrete problem are unique. Some existence, uniqueness implies existence, and convergence theorems for solutions to the discrete problem are also presented.
๐ SIMILAR VOLUMES
In this paper, the steady-state temperature distribution of heat diffusion on multi-body is considered. Such problems can be regarded as parallel to the existence part of discrete boundary value problems. The steady-state temperature distribution at least exists a nontrivial case when all heat sourc