Remarks on stability of linear recurrence of higher order
✍ Scribed by Janusz Brzdȩk; Dorian Popa; Bing Xu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 292 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
We prove some stability results for linear recurrences with constant coefficients in normed spaces. As a consequence we obtain a complete solution of the problem of the Hyers-Ulam stability for such recurrences.
📜 SIMILAR VOLUMES
## Consider the higher-order linear difference equation n-+1 G-1 + pn:cn = 0, ## . (*) where m 2 1 is an odd integer, and {pn} is a sequence of nonnegative real numbers. We obtain several new sufficient conditions for the oscillation of all solutions of equation (\*). Examples which dwell upon
The paper contain some new criteria for the oscillation of higher-order linear difference equations.