This article is cited in 1 paper

Global asymptotic stability of generalized homogeneous dynamical systems

David Cheban

State University of Moldova, Faculty of Mathematics and Computer Science Laboratory of "Fundamental and Applied Mathematics", A. Mateevich Street 60, MD–2009 Chişinău, Moldova

Abstract: The goal of the paper is to study the relationship between asymptotic stability and exponential stability of the solutions of generalized homogeneous nonautonomous dynamical systems. This problem is studied and solved within the framework of general non-autonomous (cocycle) dynamical system. The application of our general results for differential and difference equations is given.

Keywords and phrases: uniform asymptotic stability, global attractor, homogeneous dynamical system.

MSC: 34C11, 34C14, 34D05, 34D23, 37B25, 37B55, 37C75

Received: 11.07.2023

Language: English

DOI: 10.56415/basm.y2023.i2.p52