HYERS–ULAM STABILITY FOR FINITE-DIMENSIONAL NONAUTONOMOUS DYNAMICS
Abstract
The main purpose is to obtain necessary and sufficient conditions under which a nonautonomous, finite-dimensional and two-sided dynamics generated by a sequence of matrices or a linear ODE exhibits Hyers–Ulam stability. Specifically, in the case of discrete time we consider a nonautonomous difference equation with possibly noninvertible coefficients, while in the case of continuous time we deal with a nonautonomous ordinary differential equation without any bounded growth assumptions.
Fields of Study & Subjects
Functional Equations Stability Results
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Rocky Mountain Journal of Mathematics
- Volume
- 56
- Issue
- 3
- Pages
- 649–661
- Publication date
- 31 July 2026
- Language
- EN