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arXiv · 2507.10151

Critical perturbation sizes for preserving decay rates in solutions of perturbed nonlinear differential equations

John A. D. Appleby·Subham Pal
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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.

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John A. D. Appleby, Subham Pal. 2025-07-14. Critical perturbation sizes for preserving decay rates in solutions of perturbed nonlinear differential equations. https://arxiv.org/abs/2507.10151

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