Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 123, pp. 1-15.

Title: Periodicity of solutions to delayed dynamic equations with
       feedback control

Author: Zhijun Zeng (Northeast Normal Univ., Changchun, Jilin, China)

Abstract:
 Using  coincidence degree theory, the related continuation
 theorem, and some priori estimates, we investigate the existence
 of periodic solutions of a class of delayed dynamic equations
 with feedback on time scales. Some sufficient criteria are
 established for the existence solutions. In particular, when
 the time scale is chosen as the set of the real numbers or
 the integers, the existence of the periodic solutions to
 the corresponding continuous-time and discrete-time models follows.
 
Submitted December 10, 2009. Published August 30, 2010.
Math Subject Classifications: 34K13, 39A12, 92D25.
Key Words: Time scales; delayed dynamic equation; feedback control;
           coincidence degree; periodic solution.