29 citations · 73 across the 14 of their papers we have counts for
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math.CA2014
Subexponential Growth Rates in Functional Differential Equations
John A. D. Appleby, Denis D. Patterson
This paper determines the rate of growth to infinity of a scalar autonomous nonlinear functional differential equation with finite delay, where the right hand side is a positive co…
math.CA2014
On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity
John A. D. Appleby, Denis D. Patterson
This paper develops necessary and sufficient conditions for the preservation of asymptotic convergence rates of deterministically and stochastically perturbed ordinary differential…