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Matematicheskie Trudy, 2014, Volume 17, Number 2, Pages 163–183 (Mi mt282)  
Peano's theorem and coplanarity points of space curves

Yu. G. Nikonorov

South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
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Abstract: We study coplanarity points on space differentiable curves and their asymptotic properties. The results make it possible to formulate some general conjectures on the asymptotics of coplanarity points.
Key words: parametric curve in Euclidean space, smooth curve, Peano theorem, coplanarity point.
Received: 01.04.2014
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 2, Pages 124–137
DOI: https://doi.org/10.3103/S1055134415020030
Bibliographic databases:
Document Type: Article
UDC: 514.752.22+517
Language: Russian
Citation: Yu. G. Nikonorov, “Peano's theorem and coplanarity points of space curves”, Mat. Tr., 17:2 (2014), 163–183; Siberian Adv. Math., 25:2 (2015), 124–137
Citation in format AMSBIB
\Bibitem{Nik14}
\by Yu.~G.~Nikonorov
\paper Peano's theorem and coplanarity points of space curves
\jour Mat. Tr.
\yr 2014
\vol 17
\issue 2
\pages 163--183
\mathnet{http://mi.mathnet.ru/mt282}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3330056}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 2
\pages 124--137
\crossref{https://doi.org/10.3103/S1055134415020030}
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