Zobrazeno 1 - 10
of 291
pro vyhledávání: '"V. Reitmann"'
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 64:148-163
Doubly-nonlinear evolutionary systems are considered. Sufficient conditions of the boundedness of solutions of such systems are derived. Analogical results for a one-dimensional microwave heating problem are proved. The notions of global process and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::850220eca678b48f4f1d4614d8fadf03
https://doi.org/10.22363/2413-3639-2018-64-1-148-163
https://doi.org/10.22363/2413-3639-2018-64-1-148-163
Autor:
V. Reitmann, A. A. Maltseva
Publikováno v:
Differential Equations. 53:1703-1714
We consider cocycles on finite-dimensional manifolds generated by discrete-time control systems. Frequency conditions for the existence of a global B-pullback attractor for such cocycles considered over a general base system on a metric space are giv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18ed5a894724fa00d0543982a92d62c3
https://doi.org/10.1134/s001226611713002x
https://doi.org/10.1134/s001226611713002x
Publikováno v:
Differential Equations. 53:1715-1733
We prove a generalization of the well-known Douady–Oesterle theorem on the upper bound for the Hausdorff dimension of an invariant set of a finite-dimensional mapping to the case of a smooth mapping generating a dynamical system on an infinite-dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6335baaa70a085b6f677268d38fff2ff
https://doi.org/10.1134/s0012266117130031
https://doi.org/10.1134/s0012266117130031
Autor:
V. Reitmann, M. M. Anikushin
Publikováno v:
Differential Equations. 52:1655-1670
We study the topological entropy for dynamical systems with discrete or continuous multiple time. Due to the generalization of a well-known one time-dimensional result we show that the definition of topological entropy, using the approach for subshif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54d9012dffd88195419b3592bc53c403
https://doi.org/10.1134/s0012266116130012
https://doi.org/10.1134/s0012266116130012
Autor:
V. Reitmann, Y.-U. A. Abdalova
Publikováno v:
Differential Equations. 51:1683-1691
The method of realization of input–output operators in the form of abstract discrete-time control systems and the frequency-domain method are used for the stability/instability analysis of a class of nonlinear Volterra functional equations. To this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8b66d7247c03b46ee47ba03ae0513c1
https://doi.org/10.1134/s0012266115130029
https://doi.org/10.1134/s0012266115130029
Autor:
A. A. Maltseva, V. Reitmann
Publikováno v:
Differential Equations. 50:1718-1732
In the present paper, we study parameter-depending cocycles generated by nonautonomous difference equations. The time-discrete model of the cardiac conduction system is an example of such equations. We construct a cocycle for such a system with a con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92369e6baf6686113ad98540937324e5
https://doi.org/10.1134/s0012266114130035
https://doi.org/10.1134/s0012266114130035
Publikováno v:
Differential Equations. 49:1704-1728
We consider an algebraic approximation of attractors of dynamical systems defined on a Euclidean space, a flat cylinder, and a projective space. We present the Foias-Temam method for the approximation of attractors of systems with continuous time and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e78c63002d6ef4325540ce2a4193726b
https://doi.org/10.1134/s001226611313003x
https://doi.org/10.1134/s001226611313003x
Publikováno v:
Differential Equations. 48:1721-1732
Sufficient conditions for stability on a finite time interval are derived for a class of evolution variational inequalities with the use of Lyapunov functions and frequency-domain conditions. These inequalities are considered for Hilbert spaces and S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17e6bbc25ecaa927caac296e511ed729
https://doi.org/10.1134/s0012266112130034
https://doi.org/10.1134/s0012266112130034
Autor:
V. Reitmann, I. V. Ermakov
Publikováno v:
Vestnik St. Petersburg University: Mathematics. 45:153-156
The notion of determining functionals for cocycles is introduced. A theorem on the existence of a finite set of determining functionals for a certain class of cocycles defined on the product of a Hilbert and a metric space is given. The cocycle gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf371a83e68b63caaed5c69456ea528d
https://doi.org/10.3103/s1063454112040036
https://doi.org/10.3103/s1063454112040036
Publikováno v:
Differential Equations. 47:1837-1852
Cocycles of general form on an arbitrary metric space are considered. The notion of determining modes for cocycles on a Hilbert space is introduced, and a theorem on the existence of finitely many determining modes for such cocycles is proved. The ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6bc06df876c3c67c0ff2904ded24089
https://doi.org/10.1134/s0012266111130015
https://doi.org/10.1134/s0012266111130015