Exact growth rates of solutions of delay--dominated differential equations with regularly varying coefficients
Classical Analysis and ODEs
2013-10-10 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1310.2356,
title = {Exact growth rates of solutions of delay--dominated differential equations with regularly varying coefficients},
author = {John A. D. Appleby and Michael J. McCarthy and Alexandra Rodkina},
journal= {arXiv preprint arXiv:1310.2356},
year = {2013}
}
Comments
25 pages