In this paper, two interesting oscillation criteria are obtained for all solutions of ลฝ . the nonlinear delay difference equations of the form y y y q p f y s 0, n s 0, 1, 2, . . . . Some applications are given to demonstrate the advantage of results obtained in this paper. Our results also improve
Perturbations of Nonlinear Systems of Difference Equations
โ Scribed by Rigoberto Medina
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 127 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper we study a general variational stability, introduced mainly for non-autonomous difference systems. Under summability conditions, these systems remain stable for general perturbations.
๐ SIMILAR VOLUMES
In this paper we study the oscillatory behavior, the boundedness of the solutions, and the global asymptotic stability of the positive equilibrium of the system of two nonlinear difference equations x s A q y rx , y s A q x ry , n s nq 1 n nyp n q1 n nyq 0, 1, . . . , p, q are positive integers.
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.