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.