Asymptotic behavior of a nonlinear delay difference equation
โ Scribed by J. Yan; B. Liu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 213 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
A necessary and sufficient condition for the existence of a bounded nonoscillatory solution is given.
๐ SIMILAR VOLUMES
In this paper we study a general variational stability, introduced mainly for weakly stable difference systems. Moreover, we obtain asymptotic formulae for these systems, which state new results about asymptotic behavior for perturbed systems under general hypotheses.
In this work, we study the boundedness and the global asymptotic behavior of the solutions of the difference equation where ฮฑ and ฮฒ are positive real numbers, k โ {1, 2, . . .} and the initial conditions y -k , . . . , y -1 , y 0 are arbitrary numbers.