February 2024 HYERS–ULAM–RASSIAS STABILITY FOR NONAUTONOMOUS DYNAMICS
Davor Dragičević, Nevena Jurčević Peček
Rocky Mountain J. Math. 54(1): 97-107 (February 2024). DOI: 10.1216/rmj.2024.54.97

Abstract

We formulate sufficient conditions under which a nonautonomous dynamics exhibits Hyers–Ulam–Rassias stability. These conditions require that the linear part is exponentially stable and that the nonlinear part is Lipschitz small. We consider both the case of continuous and discrete time dynamics.

Citation

Download Citation

Davor Dragičević. Nevena Jurčević Peček. "HYERS–ULAM–RASSIAS STABILITY FOR NONAUTONOMOUS DYNAMICS." Rocky Mountain J. Math. 54 (1) 97 - 107, February 2024. https://doi.org/10.1216/rmj.2024.54.97

Information

Received: 7 November 2022; Accepted: 23 November 2022; Published: February 2024
First available in Project Euclid: 28 February 2024

MathSciNet: MR4718507
Digital Object Identifier: 10.1216/rmj.2024.54.97

Subjects:
Primary: 34D10

Keywords: Exponential stability , Hyers–Ulam–Rassias stability , ‎nonautonomous dynamics

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

Vol.54 • No. 1 • February 2024
Back to Top