On the Gronwall inequality and asymptotic stability of nonlinear discrete systems with multiple delays. (English) Zbl 1017.34077
The authors study the stability of a class of nonlinear perturbed difference systems with multiple delays. By establishing a generalized discrete Gronwall inequality, new asymptotic stability conditions under more general assumptions on the perturbed function are given.
Reviewer: Jurang Yan (Taiyuan)
MSC:
| 34K20 | Stability theory of functional-differential equations |
| 34D10 | Perturbations of ordinary differential equations |
| 39A11 | Stability of difference equations (MSC2000) |
