Autor: Kamenskii, Mikhail - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
Autorzy:: Kamenskii, Mikhail
Obukhovskii, Valeri
Yao, Jen-Chih
Powiązania:: https://bibliotekanauki.pl/articles/729536.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: operator differential inclusion
neutral type
periodic solution
fixed point
multivalued map
condensing map
topological degree
averaging method
control system
distributed control
Opis:: We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 2; 193-204
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the topological dimension of the solutions sets for some classes of operator and differential inclusions
Autorzy:: Bader, Ralf
Gel'man, Boris
Kamenskii, Mikhail
Obukhovskii, Valeri
Powiązania:: https://bibliotekanauki.pl/articles/729534.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: solutions set
fixed points set
topological dimension
multivalued map
condensing map
topological degree
differential inclusion
periodic problem
Opis:: In the present paper, we give the lower estimation for the topological dimension of the fixed points set of a condensing continuous multimap in a Banach space. The abstract result is applied to the fixed point set of the multioperator of the form $ = S _F$ where $_F$ is the superposition multioperator generated by the Carathéodory type multifunction F and S is the shift of a linear injective operator. We present sufficient conditions under which this set has the infinite topological dimension. In the last section of the paper, we consider the applications of the solutions sets for Cauchy and periodic problems for semilinear differential inclusions in a Banach space.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 1; 17-32
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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