Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630209 | Applied Mathematics and Computation | 2012 | 9 Pages |
Abstract
Second order periodic differential equations such as the Hill's equation are used to model damped oscillators, vibrating elliptical drumheads, rotating electric dipoles, etc. and existence of periodic solutions are important. In this paper we study second order equations subject to 'adjustable' feedback control functions with delays. Based on the fixed point theorem for an ordered Banach space, the existence, multiplicity, and the nonexistence of periodic solutions for our equation are obtained. The uniqueness of periodic solutions and the dependence of periodic solutions on the adjustable scale factor are also studied.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shugui Kang, Sui Sun Cheng,