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

2025/07/14 by Appleby, John A. D., Pal, Subham
#34D05 #34D20 #93D09 #93D20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.10151

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.

Citations

• On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity

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