Qualitative properties of some higher order difference equations
โ Scribed by H. El-Metwally
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 463 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
We present sufficient conditions which guarantee that all positive solutions of some higher order rational difference equations are global asymptotically stable. The boundedness of the solutions and the existence of prime period two solutions of such equations are also investigated.
๐ SIMILAR VOLUMES
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.
## 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.