Boundedness and exponential stability of solutions to dynamic equations on time scales
| dc.contributor.author | Liu, Ai-Lian | |
| dc.date.accessioned | 2021-08-02T20:17:51Z | |
| dc.date.available | 2021-08-02T20:17:51Z | |
| dc.date.issued | 2007-01-08 | |
| dc.description.abstract | Making use of the generalized time scales exponential function, we give a new definition for the exponential stability of solutions for dynamic equations on time scales. Employing Lyapunov-type functions on time scales, we investigate the boundedness and the exponential stability of solutions to first-order dynamic equations on time scales, and some sufficient conditions are obtained. Some examples are given at the end of this paper. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, A. L. (2007). Boundedness and exponential stability of solutions to dynamic equations on time scales. <i>Electronic Journal of Differential Equations, 2007</i>(12), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14162 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Time scale | |
| dc.subject | Lyapunov-type function on time scales | |
| dc.subject | Boundedness | |
| dc.subject | Exponential stability | |
| dc.title | Boundedness and exponential stability of solutions to dynamic equations on time scales | |
| dc.type | Article |