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Global Asymptotic Stability of Generalized Homogeneous Dynamical Systems
Authors: David Cheban
Keywords: uniform asymptotic stability; global attractor; homogeneous dynamical system
– 0.27 Mb
Keywords: uniform asymptotic stability; global attractor; homogeneous dynamical system
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.State University of Moldova
Faculty of Mathematics and Computer Science
Laboratory of ”Fundamental and Applied Mathematics”
A. Mateevich Street 60
MD–2009 Chi¸sin˘au, Moldova
E-mail: ,
Faculty of Mathematics and Computer Science
Laboratory of ”Fundamental and Applied Mathematics”
A. Mateevich Street 60
MD–2009 Chi¸sin˘au, Moldova
E-mail: ,
DOI
https://doi.org/10.56415/basm.y2023.i2.p52Fulltext
– 0.27 Mb
Contents
- The Second Hankel Determinant for k-symmetrical Functions
- Relative Separation Axioms via Semi-Open Sets
- Growth Properties of Solutions to Higher Order Complex Linear Differential Equations with Analytic Coefficients in the Annulus
- On T-nilpotence of a matrix set
- On the Existence of Stationary Nash Equilibria for Mean Payoff Games on Graphs
- Global Asymptotic Stability of Generalized Homogeneous Dynamical Systems
- The linear Fredholm integral equations with functionals and parameters
- B-spline collocation method for solving Fredholm integral equations with discontinuous right-hand side
- On recursive 1-differentiability of the quasigroup prolongations
- Zero-Order Markov Processes with Multiple Final Sequences of States
