Qualitative Properties for a Fourth Order Rational Difference Equation
โ Scribed by E. M. Elsayed
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 440 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0167-8019
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๐ SIMILAR VOLUMES
In this paper, the rule for the lengths of positive and negative semicycles of nontrivial solutions of the following fourth-order rational difference equation, where a,b E [0, oo) and the initial values x-3,z-2, x-l,~c0 E (0, co), to successively occur is found to be...,4 +,3-, 1 +, 2-,2 +, 1-, 1 +
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.