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Izvestiya: Mathematics, 2019, Volume 83, Issue 2, Pages 199–213
DOI: https://doi.org/10.1070/IM8795 (Mi im8795) 		 
This article is cited in 2 scientific papers (total in 2 papers)

IInvestigation of the sets of real solutions of non-linear equations

A. V. Arutyunovabcd

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Lomonosov Moscow State University
c Peoples Friendship University of Russia, Moscow
d V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
English version PDF (280 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM8795
Abstract: We study the problem of constructing a smooth curve lying on the level set of a smooth map and issuing from an abnormal point. We find sufficient conditions for the existence of such curves and obtain bounds for the distances to level sets of the smooth map near an abnormal point.
Keywords: abnormal point, smooth curve, quadratic map, regular zero of a quadratic map, bound for the distance to a level set.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5-100
1.962.2017/4.6
Russian Foundation for Basic Research 18-01-00106
17-51-12064
This paper was written with the support of the PFUR Programme ‘5-100’, the Ministry of Science and Education of the Russian Federation (grant no. 1.962.2017/4.6) and the Russian Foundation for Basic Research (grants no. 18-01-00106, no. 17-51-12064).
Received: 10.04.2018
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2019, Volume 83, Issue 2, Pages 5–20
DOI: https://doi.org/10.4213/im8795
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 26B10, 90C20
Language: English
Original paper language: Russian
Citation: A. V. Arutyunov, “IInvestigation of the sets of real solutions of non-linear equations”, Izv. RAN. Ser. Mat., 83:2 (2019), 5–20; Izv. Math., 83:2 (2019), 199–213
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:548
    Russian version PDF:63
    English version PDF:18
    References:49
    First page:55
     
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