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arXiv · 1310.2356

Exact growth rates of solutions of delay--dominated differential equations with regularly varying coefficients

John A. D. Appleby·Michael J. McCarthy·Alexandra Rodkina
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Abstract

In this paper we determine the exact rate of growth of the solution of a deterministic delay differential equation in which the delayed term is regularly varying at infinity and dominates, and determine criteria to characterise this dominance. The preservation of growth rates using a uniform step size Euler scheme is also discussed.

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John A. D. Appleby, Michael J. McCarthy, Alexandra Rodkina. 2013-10-09. Exact growth rates of solutions of delay--dominated differential equations with regularly varying coefficients. https://arxiv.org/abs/1310.2356

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