A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem (Q1415100)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem |
scientific article; zbMATH DE number 2012550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem |
scientific article; zbMATH DE number 2012550 |
Statements
A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem (English)
0 references
3 December 2003
0 references
Writing the boundary value problem for a linear difference equation as a system of linear equations, the non-vanishing of its coefficient determinant is equivalent to its unique solvability. This well known fact is the content of the main Theorem 2.1, proved by means of 2 other theorems and 2 lemmas.
0 references
discrete boundary value problem
0 references
linear difference equation
0 references
system of linear equations
0 references
unique solvability
0 references
