English

Uniform solvability for families of linear systems on time scales

Dynamical Systems 2022-03-31 v1

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.

Keywords

Cite

@article{arxiv.2203.16283,
  title  = {Uniform solvability for families of linear systems on time scales},
  author = {Sergey Kryzhevich},
  journal= {arXiv preprint arXiv:2203.16283},
  year   = {2022}
}