Electron. J. Diff. Eqns., Vol. 2000(2000), No. 56, pp. 1-18.
### Uniqueness of rapidly oscillating periodic solutions to a
singularly perturbed differential-delay equation

Hari P. Krishnan

**Abstract:**

In this paper, we prove a uniqueness theorem for rapidly oscillating
periodic solutions of the singularly perturbed differential-delay
equation

.

In particular, we show that, for a given oscillation rate,
there exists exactly one periodic solution to the above equation.
Our proof relies upon a generalization of Lin's method, and is valid
under generic conditions.
Submitted December 1, 1999. Published July 24, 2000.

Math Subject Classifications: 34K26, 37G10.

Key Words: delay equation, rapidly oscillating, singularly perturbed.

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Hari P. Krishnan

1350 No. Wells St., Apt. D103,

Chicago, IL 60610 USA

e-mail: hkri66@cbot.com, hpk4@columbia.edu

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