Uniform solvability for families of linear systems on time scales | Zendy

Sergey Kryzhevich | Zendy

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Uniform solvability for families of linear systems on time scales

Author(s) -

Sergey Kryzhevich

Publication year - 2022

Publication title -

journal of computational mathematica

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.

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