Boundedness and exponential stability of solutions to dynamic equations on time scales
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Date
2007-01-08
Authors
Liu, Ai-Lian
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Time scale, Lyapunov-type function on time scales, Boundedness, Exponential stability
Citation
Liu, A. L. (2007). Boundedness and exponential stability of solutions to dynamic equations on time scales. Electronic Journal of Differential Equations, 2007(12), pp. 1-14.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.