Enviar artigo por via de e-mail Liouville Formula for Some Classes of Differential Equations with the Hukuhara Derivative
- Autores: Atamas I.V.1, Slyn’ko V.I.2,3
-
Afiliações:
- The Bohdan Khmelnytsky National University of Cherkasy
- S. P. Timoshenko Institute of Mechanics
- Institut für Mathematik
- Edição: Volume 55, Nº 11 (2019)
- Páginas: 1407-1419
- Seção: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155242
- DOI: https://doi.org/10.1134/S0012266119110016
- ID: 155242
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
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.
Sobre autores
I. Atamas
The Bohdan Khmelnytsky National University of Cherkasy
Autor responsável pela correspondência
Email: atamas_v@ukr.net
Ucrânia, Cherkasy, 18031
V. Slyn’ko
S. P. Timoshenko Institute of Mechanics; Institut für Mathematik
Autor responsável pela correspondência
Email: vitstab@ukr.net
Ucrânia, Kiev, 252680; Würzburg, 97074
Arquivos suplementares
