A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem

Raghib Abu-Saris and Wajdi Ahmad

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:747525

DOI: 10.1155/S0161171203211509

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