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Journal of Difference Equations and Applications Volume 11, 2005 - Issue 6
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Original Articles

Regularity of the inversion problem for the Sturm-Liouville difference equation IV. Stability conditions for a three-point difference scheme with non-negative coefficients

N. A. Chernyavskaya Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, P.O.B. 653, Beer-Sheva, 84105, Israel
,
J. Schiff Department of Mathematics and Statistics, Bar-Ilan University, 52900, Ramat Gan, IsraelCorrespondence[email protected]
&
L. A. Shuster Department of Mathematics and Statistics, Bar-Ilan University, 52900, Ramat Gan, Israel
Pages 487-501 | Received 18 Nov 2003, Accepted 02 Dec 2004, Published online: 19 Aug 2006
 
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Abstract

Consider a three-point difference scheme

where
is a given positive number,

Assume that the sequence

satisfies the a priori condition

We obtain criteria for the stability of Equationscheme (1) in

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