Existence theorems for boundary value problems in difference equations

In this research, we study linear difference equations with constant coefficients subject to boundary conditions. Necessary and/or sufficient conditions for the existence of a unique solution will be established. The proofs of the existence and uniqueness theorems are established by means of special...

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Bibliographic Details
Published inJournal of difference equations and applications Vol. 7; no. 2; pp. 255 - 263
Main Authors Abu-Sarris, Ragheb, Yousef, Hasan
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.01.2001
Subjects
Boundary value problems
Existence and uniqueness theorems
Linear difference equations
Mosaic Vandermonde matrices
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Summary:In this research, we study linear difference equations with constant coefficients subject to boundary conditions. Necessary and/or sufficient conditions for the existence of a unique solution will be established. The proofs of the existence and uniqueness theorems are established by means of special types of determinants called Mosaic Vandermonde determinants.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190108808272