Liu, Ai-Lian2021-08-022021-08-022007-01-08Liu, 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. 1-14.1072-6691https://hdl.handle.net/10877/14162Making 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalTime scaleLyapunov-type function on time scalesBoundednessExponential stabilityBoundedness and exponential stability of solutions to dynamic equations on time scalesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.