Liouville Formula for Some Classes of Differential Equations with the Hukuhara Derivative
- Авторлар: Atamas I.V.1, Slyn’ko V.I.2,3
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Мекемелер:
- The Bohdan Khmelnytsky National University of Cherkasy
- S. P. Timoshenko Institute of Mechanics
- Institut für Mathematik
- Шығарылым: Том 55, № 11 (2019)
- Беттер: 1407-1419
- Бөлім: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155242
- DOI: https://doi.org/10.1134/S0012266119110016
- ID: 155242
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
I. Atamas
The Bohdan Khmelnytsky National University of Cherkasy
Хат алмасуға жауапты Автор.
Email: atamas_v@ukr.net
Украина, Cherkasy, 18031
V. Slyn’ko
S. P. Timoshenko Institute of Mechanics; Institut für Mathematik
Хат алмасуға жауапты Автор.
Email: vitstab@ukr.net
Украина, Kiev, 252680; Würzburg, 97074
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