Vol. 6 No. 1 (2022): Special Issue in Honor of Professor Ravi P. Agarwal
Articles

Uniform solvability for families of linear systems on time scales

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  • Sergey Kryzhevich
Sergey Kryzhevich
Institute of Applied Mathematics, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, 80-233 ´ Gdansk, Poland and BioTechMed Center, Gdansk University of Technology, 80-233 Gdansk, Poland.
DOI: https://doi.org/10.26524/cm141
Published March 31, 2022
Keywords
  • Time scale dynamics, Structural stability, Solvability, linear systems, Hyperbolicity
How to Cite
Sergey Kryzhevich. (2022). Uniform solvability for families of linear systems on time scales. Journal of Computational Mathematica, 6(1), 413 - 429. https://doi.org/10.26524/cm141

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.

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