Open AccessUniform solvability for families of linear systems on time scales
Author(s) -
Sergey Kryzhevich
Publication year - 2022
Publication title -
journal of computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-8686
DOI - 10.26524/cm141
Subject(s) - ode , embedding , scale (ratio) , stability (learning theory) , mathematics , linear system , computer science , calculus (dental) , control theory (sociology) , mathematical analysis , geography , artificial intelligence , cartography , medicine , dentistry , machine learning , control (management)
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.