Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Andrej V. Plotnikov"'
Publikováno v:
Cubo, Vol 26, Iss 2, Pp 191-215 (2024)
The article explores a linear set-valued differential equation featuring both conformable fractional and generalized conformable fractional derivatives. It presents conditions for the existence of solutions and provides analytical expressions for the
Externí odkaz:
https://doaj.org/article/c4abc75f8b5d4ea2bfb3807aa27b705a
Publikováno v:
International Journal of Differential Equations, Vol 2014 (2014)
The substantiation of a possibility of application of partial averaging method on finite interval for differential inclusions with the fuzzy right-hand side with a small parameter is considered.
Externí odkaz:
https://doaj.org/article/89d94e5d87fe477480ce6238440367c7
Autor:
Andrej V. Plotnikov, T. O. Komleva
Publikováno v:
Ukrainian Mathematical Journal. 72:1251-1266
We consider a time-optimal problem for a set-valued linear control system in the case where a section of the solution of the system coincides with a target set. For this problem, we establish both the solvability conditions and the optimal time and o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71079254e031cf54fd8747d2de41cfa8
https://doi.org/10.1007/s11253-020-01854-2
https://doi.org/10.1007/s11253-020-01854-2
Publikováno v:
Modeling, Control and Information Technologies. :31-34
In this article one optimal control problem when the system behavior is described by linear fuzzy differential equations is considered. The conditions of its solvability are formulated, and the optimal time and optimal controls are obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::102ca6d2f8c992234d0912e72680e32d
https://doi.org/10.31713/mcit.2020.01
https://doi.org/10.31713/mcit.2020.01
Publikováno v:
Studia Universitatis Babes-Bolyai Matematica. 65:411-427
The article discusses various definitions of the derivative of a set-valued mapping and their properties. Also, a linear set-valued differential equation is considered and the existence of solutions for this equation with Hukuhara derivative, Plotnik
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fac78da5e7a3c63dd9c47342ec6c5fda
https://doi.org/10.24193/subbmath.2020.3.09
https://doi.org/10.24193/subbmath.2020.3.09
Publikováno v:
Ukrainian Mathematical Journal. 70:1750-1757
We consider a multivalued discrete system and study its properties and the existence of its solution.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bc712a1a965489e5c3474607abe34b5
https://doi.org/10.1007/s11253-019-01612-z
https://doi.org/10.1007/s11253-019-01612-z
Publikováno v:
Journal of Mathematical Sciences. 238:292-301
We substantiate an averaging scheme for integrodifferential inclusions on a bounded interval.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac31fea056fafe779c9c40ec5808d1aa
https://doi.org/10.1007/s10958-019-04236-7
https://doi.org/10.1007/s10958-019-04236-7
Publikováno v:
Studia Universitatis Babes-Bolyai Matematica. 63:539-548
In the introduction of the article we given an overview of the results for set-valued equations. Further we considered the setvalued discrete-time dynamical systems and substantiates the averaging method for nonlinear set-valued discrete-time systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19146444529d98f09cce640fbf3674ef
https://doi.org/10.24193/subbmath.2018.4.09
https://doi.org/10.24193/subbmath.2018.4.09
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 22:1987-1998
In this paper the substantiation of a possibility of application of partial averaging method for hyperbolic differential inclusions with the fuzzy right-hand side with the small parameters is considered.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b17695dd3dd7b19a6246ab1617cfe39
https://doi.org/10.3934/dcdsb.2017117
https://doi.org/10.3934/dcdsb.2017117
Autor:
Andrej V. Plotnikov
Publikováno v:
Ukrainian Mathematical Journal. 67:421-430
We justify the applicability of the method of complete averaging on a finite segment for differential inclusions with fuzzy right-hand sides containing a small parameter.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60449d8bbe5f10173358b597c552b241
https://doi.org/10.1007/s11253-015-1090-4
https://doi.org/10.1007/s11253-015-1090-4