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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 284, Pages 263–268 (Mi znsl1547)  
Existence of $2^n$ solutions of a system of $n$ nonlinear equations in $n$ unknowns

M. N. Yakovlev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (125 kB)
Abstract: It is demonstrated that, under some conditions, a system of $n$ nonlinear equations with $n$ unknowns has at least $2^n$ solutions.
Received: 13.01.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 4, Pages 2585–2588
DOI: https://doi.org/10.1023/B:JOTH.0000026294.72980.ad
Bibliographic databases:
UDC: 519
Language: Russian
Citation: M. N. Yakovlev, “Existence of $2^n$ solutions of a system of $n$ nonlinear equations in $n$ unknowns”, Computational methods and algorithms. Part XV, Zap. Nauchn. Sem. POMI, 284, POMI, St. Petersburg, 2002, 263–268; J. Math. Sci. (N. Y.), 121:4 (2004), 2585–2588
Citation in format AMSBIB
\Bibitem{Yak02}
\by M.~N.~Yakovlev
\paper Existence of~$2^n$ solutions of a system of~$n$ nonlinear equations in~$n$ unknowns
\inbook Computational methods and algorithms. Part~XV
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 284
\pages 263--268
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1915084}
\zmath{https://zbmath.org/?q=an:1071.65073}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 4
\pages 2585--2588
\crossref{https://doi.org/10.1023/B:JOTH.0000026294.72980.ad}
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