Uniqueness of rapidly oscillating periodic solutions to a singularly perturbed differential-delay equation

In this paper, we prove a uniqueness theorem for rapidly oscillating periodic solutions of the singularly perturbed differential-delay equation $varepsilon dot{x}(t)=-x(t)+f(x(t-1))$. In particular, we show that, for a given oscillation rate, there exists exactly one periodic solution to the above e...

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Bibliographic Details
Main Author: Hari P. Krishnan
Format: Article
Language:English
Published: Texas State University 2000-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/56/abstr.html