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math.CA2013
Exact growth rates of solutions of delay--dominated differential equations with regularly varying coefficients
John A. D. Appleby, Michael J. McCarthy, Alexandra Rodkina
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 do…
math.CA2013
Exact Pathwise and Mean--Square Asymptotic Behaviour of Stochastic Affine Volterra and Functional Differential Equations
John A. D. Appleby, John A. Daniels
The almost sure rate of exponential-polynomial growth or decay of affine stochastic Volterra and affine stochastic finite-delay equations is investigated. These results are achieve…