Boundedness and exponential stability of solutions to dynamic equations on time scales
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 fi...
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| Format: | Article |
| Language: | English |
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Texas State University
2007-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://eje/math.txstate.edu/Volumes/2007/12/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |