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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 4, Pages 81–83 (Mi smj1630)  
Certain solutions to a system of scalar equations with a vector parameter

V. A. Gromov
Full-text PDF (389 kB)
Abstract: We prove existence for small solutions to a system of scalar equations with a vector parameter. The existence of solutions is established by reduction to the case of solutions such a system in which all but one the parameters vanish. We also apply the main result to systems of ordinary differential equations with a vector parameter.
Received: 17.04.1992
Revised: 19.01.1993
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 4, Pages 663–665
DOI: https://doi.org/10.1007/BF00975167
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: V. A. Gromov, “Certain solutions to a system of scalar equations with a vector parameter”, Sibirsk. Mat. Zh., 34:4 (1993), 81–83; Siberian Math. J., 34:4 (1993), 663–665
Citation in format AMSBIB
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\by V.~A.~Gromov
\paper Certain solutions to a system of scalar equations with a vector parameter
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 4
\pages 81--83
\mathnet{http://mi.mathnet.ru/smj1630}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1248791}
\zmath{https://zbmath.org/?q=an:0814.65052}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 4
\pages 663--665
\crossref{https://doi.org/10.1007/BF00975167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA84100010}
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    		Сибирский математический журнал Siberian Mathematical Journal
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