Critical perturbation sizes for preserving decay rates in solutions of perturbed nonlinear differential equations
John A. D. Appleby, Subham Pal
公開日: 2025/7/14
Abstract
This paper develops necessary and sufficient conditions for the preservation of asymptotic convergence rates of deterministically and stochastically perturbed ordinary differential equations in which the solutions of the unperturbed equations exhibit have power--law decay to zero.