Periodicity of solutions to delayed dynamic equations with feedback control

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 particul...

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Bibliographic Details
Main Author: Zhijun Zeng
Format: Article
Language:English
Published: Texas State University 2010-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/123/abstr.html
Description
Summary: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.
ISSN:1072-6691