## 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
Oscillation of higher-order linear difference equations
โ Scribed by G Grzegorczyk; J Werbowski
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 238 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
The paper contain some new criteria for the oscillation of higher-order linear difference equations.
๐ SIMILAR VOLUMES
In this paper, we obtain new sufficient conditions for the oscillation of all solutions of the second-order linear difference equation where Axn = xt,+1 --xn is the forward difference operator, {Ph} is a sequence of nonnegative real numbers. Our results improve the know results in the literature.
We shall investigate the oscillatory behavior of solutions of ruth-order nonlinear neutral difference equations. Some examples which dwell upon the importance of our results are also included.