| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622391 | Journal of Mathematical Analysis and Applications | 2007 | 16 Pages |
Abstract
In this paper, we deal with some theorems on the exponential stability of trivial solution of time-varying non-regressive dynamic equation on time scales with bounded graininess. In particular, well-known Perron's theorem is generalized on time scales. Under rather restrictive condition, that is, integral boundedness of coefficient operators, we obtain a characterization of the uniformly exponential stability.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
