Liouville Formula for Some Classes of Differential Equations with the Hukuhara Derivative
- 作者: Atamas I.V.1, Slyn’ko V.I.2,3
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隶属关系:
- The Bohdan Khmelnytsky National University of Cherkasy
- S. P. Timoshenko Institute of Mechanics
- Institut für Mathematik
- 期: 卷 55, 编号 11 (2019)
- 页面: 1407-1419
- 栏目: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155242
- DOI: https://doi.org/10.1134/S0012266119110016
- ID: 155242
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详细
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.
作者简介
I. Atamas
The Bohdan Khmelnytsky National University of Cherkasy
编辑信件的主要联系方式.
Email: atamas_v@ukr.net
乌克兰, Cherkasy, 18031
V. Slyn’ko
S. P. Timoshenko Institute of Mechanics; Institut für Mathematik
编辑信件的主要联系方式.
Email: vitstab@ukr.net
乌克兰, Kiev, 252680; Würzburg, 97074
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