Boundedness and exponential stability of solutions to dynamic equations on time scales
Texas State University-San Marcos, Department of Mathematics
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.
Time scale, Lyapunov-type function on time scales, Boundedness, Exponential stability
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.
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