Geodesic
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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/