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Existence theorems for boundary value problems in difference equations |
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| Authors: | Ragheb Abu-Sarris Hasan Yousef |
| Affiliation: | Department of Mathematics , Birzeit University , P.O. Box 14, Birzeit, Palestine |
| Abstract: | 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. |
| Keywords: | Linear difference equations Boundary value problems: Existence and uniqueness theorems Mosaic Vandermonde matrices |