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Exact growth rates of solutions of delay--dominated differential equations with regularly varying coefficients (1310.2356v1)
Published 9 Oct 2013 in math.CA and math.NA
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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