A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE Of A UNIQUE SOLUTION OF A DISCRETE BOUNDARY VALUE PROBLEM

A k th‐order linear difference equation with constant coefficients subject to boundary conditions is considered. A necessary and sufficient condition for the existence of a unique solution for such a boundary value problem is established. The condition established answers a fundamental question for...

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Bibliographic Details
Published inInternational Journal of Mathematics and Mathematical Sciences Vol. 2003; no. 39; pp. 2455 - 2463-187
Main Authors Abu-Saris, Raghib, Ahmad, Wajdi
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 2003
Wiley
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Summary:A k th‐order linear difference equation with constant coefficients subject to boundary conditions is considered. A necessary and sufficient condition for the existence of a unique solution for such a boundary value problem is established. The condition established answers a fundamental question for well‐posedness and can be easily applied using a simple and computationally tractable algorithm that does not require finding the roots of the associated characteristic equation.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171203211509