Email this article Liouville Formula for Some Classes of Differential Equations with the Hukuhara Derivative
- Authors: Atamas I.V.1, Slyn’ko V.I.2,3
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Affiliations:
- The Bohdan Khmelnytsky National University of Cherkasy
- S. P. Timoshenko Institute of Mechanics
- Institut für Mathematik
- Issue: Vol 55, No 11 (2019)
- Pages: 1407-1419
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155242
- DOI: https://doi.org/10.1134/S0012266119110016
- ID: 155242
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Abstract
We use the vector Lyapunov function method and the comparison method in conjunction with methods of convex geometry and the theory of mixed volumes to obtain analogs of the Liouville formula for some classes of linear differential equations with the Hukuhara derivative defined on the space of convex compact subsets of the plane. A continual generalization of the construction of a vector Lyapunov function is proposed.
About the authors
I. V. Atamas
The Bohdan Khmelnytsky National University of Cherkasy
Author for correspondence.
Email: atamas_v@ukr.net
Ukraine, Cherkasy, 18031
V. I. Slyn’ko
S. P. Timoshenko Institute of Mechanics; Institut für Mathematik
Author for correspondence.
Email: vitstab@ukr.net
Ukraine, Kiev, 252680; Würzburg, 97074
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