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Contemporary Mathematics. Fundamental Directions, 2010, Volume 35, Pages 60–77 (Mi cmfd145)  
This article is cited in 5 scientific papers (total in 5 papers)

Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications

V. G. Zvyagina, E. S. Baranovskiib

a Voronezh State University, Voronezh
b Voronezh
Full-text PDF (256 kB) Citations (5)
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Abstract: 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.
English version:
Journal of Mathematical Sciences, 2010, Volume 170, Issue 3, Pages 405–422
DOI: https://doi.org/10.1007/s10958-010-0094-8
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: V. G. Zvyagin, E. S. Baranovskii, “Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications”, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 1, CMFD, 35, PFUR, M., 2010, 60–77; Journal of Mathematical Sciences, 170:3 (2010), 405–422
Citation in format AMSBIB
\Bibitem{ZvyBar10}
\by V.~G.~Zvyagin, E.~S.~Baranovskii
\paper Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications
\inbook Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17--24, 2008). Part~1
\serial CMFD
\yr 2010
\vol 35
\pages 60--77
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd145}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752639}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 170
\issue 3
\pages 405--422
\crossref{https://doi.org/10.1007/s10958-010-0094-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77957727620}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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