Uniform solvability for families of linear systems on time scales

2022/03/30 by Kryzhevich, Sergey
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.16283

Abstract

We give explicit criteria of solvability for families of linear systems on time scales. We introduce a new method of embedding a time scale into a non-autonomous system of ODEs. This will be the first step to implementing the structural stability result obtained by one of the co-authors together with V. A. Pliss to time scale dynamics.

Related

• Stability by linear approximation for time scale dynamical systems
• Hyperbolicity and solvability for linear systems on time scales
• A class of robust numerical methods for solving dynamical systems with multiple time scales
• Optimal Dichotomy of Temporal Scales and Boundedness and Stability of Time-Varying Multidimensional Nonlinear Systems
• On the existence of solutions of dynamic equations on time scales in Banach spaces