The paper contain some new criteria for the oscillation of higher-order linear difference equations.
Oscillation and asymptotic behaviour of a class of higher-order non-linear difference equations
โ Scribed by H.A. El-Morshedy; K. Gopalsamy
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 217 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0373-3114
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๐ SIMILAR VOLUMES
In this paper we obtain a necessary and sufficient condition for the asymptotic stability of the zero solution of the linear delay difference equation N x y x q p x s 0, n s 0, 1, 2, . . . , ร nq 1 n n ykqลฝ jy1.l js1 by using root-analysis for the characteristic equation. Here, p is a real number an
## 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
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