Exponential stability Linear dynamic equation Perron theorem Time scales Uniformly exponential stability
Issue Date:
2007
Publisher:
Journal of Mathematical Analysis and Applications
Citation:
Volume: 331, Issue: 2, Page : 1159-1174
Abstract:
In this paper, we deal with some theorems on the exponential stability of trivial solution of timevarying
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. ??
2006 Elsevier Inc. All rights reserved.
