| On the exponential stability of dynamic equations on time scales | |
| Authors: | Nguyen Huu Du Le Huy Tien |
| Keywords: | exponential stability uniformly exponential stability time scales perron theorem linear dynamic equation |
| Issue Date: | 2007 |
| Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| Citation: | ISIKNOWLEDGE |
| 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. (c) 2006 Elsevier Inc. All rights reserved. |
| Description: | TNS07619 ; JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 331 Issue: 2 Pages: 1159-1174 Published: JUL 15 2007 |
| URI: | http://repository.vnu.edu.vn/handle/VNU_123/31172 |
| ISSN: | 0022-247X |
| Appears in Collections: | Bài báo của ĐHQGHN trong Web of Science |
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