Existence theorems for boundary value problems in difference equations

Abu-Sarris, Ragheb M.; Yousef, Hasan

doi:10.1080/10236190108808272

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2003

2004

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“…Furthermore, unlike the results established in [1,2,3] and conjectured in [7] (despite their applicability), the result established here does not require finding the zeros of the corresponding characteristic polynomial…”

Section: Introductionmentioning

confidence: 48%

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

Abu-Saris

Ahmad

2003

International Journal of Mathematics and Mathematical Sciences

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A kth-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.

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Section: Introductionmentioning

confidence: 48%