Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications
Contemporary Mathematics. Fundamental Directions, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 1, Tome 35 (2010), pp. 60-77
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Applications of topological characteristics of nonlinear (one-valued and multi-valued) maps are well-known efficient tools for the investigation of solvability for various problems of the theory of differential equations and of optimal control theory. In this paper, a construction of one such characteristic is proposed: this is the degree of condensing multi-valued perturbations of maps of class $(S)_+$. Principal properties of the characteristic are studied. The considered characteristic is applied for the investigation of a class of controllable systems.
@article{CMFD_2010_35_a4,
author = {V. G. Zvyagin and E. S. Baranovskii},
title = {Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {60--77},
publisher = {mathdoc},
volume = {35},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2010_35_a4/}
}
TY - JOUR AU - V. G. Zvyagin AU - E. S. Baranovskii TI - Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications JO - Contemporary Mathematics. Fundamental Directions PY - 2010 SP - 60 EP - 77 VL - 35 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2010_35_a4/ LA - ru ID - CMFD_2010_35_a4 ER -
%0 Journal Article %A V. G. Zvyagin %A E. S. Baranovskii %T Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications %J Contemporary Mathematics. Fundamental Directions %D 2010 %P 60-77 %V 35 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2010_35_a4/ %G ru %F CMFD_2010_35_a4
V. G. Zvyagin; E. S. Baranovskii. Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 1, Tome 35 (2010), pp. 60-77. http://geodesic.mathdoc.fr/item/CMFD_2010_35_a4/