Journal of Sol-Gel Science and Technology.
Springer New York LLC.
2019.
Investigation of the sets of real solutions of non-linear equations
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. © 2019 RAS(DoM) and LMS.
Authors
Journal
Publisher
Institute of Physics Publishing
Number of issue
2
Language
English
Pages
199-213
Status
Published
Link
DOI
Volume
83
Year
2019
Organizations
- 1 Moscow Institute of Physics and Technology (State University), Dolgoprudny Moscow Region Moscow State University Peoples' Friendship University of Russia, Moscow Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russian Federation
Keywords
abnormal point; bound for the distance to a level set; quadratic map; regular zero of a quadratic map9; smooth curve
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Materials.
MDPI AG.
Vol. 12.
2019.