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Zbl 0855.39010
Zhang, J.M.; Li, X.C.; Qu, C.K.
Error bounds for asymptotic solutions of second-order linear difference equations. (English)
[J] J. Comput. Appl. Math. 71, No.2, 191-212 (1996). ISSN 0377-0427

The authors establish in detail the error bounds for asymptotic solutions of the second order linear difference equation $$y(n+2)+a(n) y(n+1)+b(n) y(n)=0$$ where $a(n)$, $b(n)$ have asymptotic expansions $$a(n) \sim \sum^\infty_{s=0} {a_s \over n^s}, \quad b(n) \sim \sum^\infty_{s=0} {b_s \over n^s}, \quad n \to \infty.$$ For related results see the paper of {\it R. Wong} and {\it H. Li} [J. Comput. Appl. Math. 41, No. 1-2, 65-94 (1992; Zbl 0758.39005)].
[E.Thandapani (Salem)]

MSC 2000:: *39A11 Stability of difference equations
39A10 Difference equations

Keywords: error bounds; asymptotic solutions; second order linear difference equation

Citations: Zbl 0758.39005

Cited in: Zbl 1211.39008

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