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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Bibliographic Details
Main Author: Ai-Lian Liu
Format: Article
Language:English
Published: Texas State University 2007-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://eje/math.txstate.edu/Volumes/2007/12/abstr.html