Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 12, pp. 1-14.

Title: Boundedness and exponential stability of solutions 
       to dynamic equations on time scales

Author: Ai-Lian Liu (Shandong Economics Univ., China)

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.
 
Submitted January 16, 2006. Published January 8, 2007.
Math Subject Classifications:
Key Words: Time scale; Lyapunov-type function on time scales;
            boundedness; exponential stability.