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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 248, Pages 216–224 (Mi znsl634)  

Implicit functions determined by equations with unbounded operators and the solvability of operator equations

M. N. Yakovlev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: For implicit functions determined by the equation $Tx+F(\lambda,x)=0$, where $T$ is an unbounded operator, existence and differentiability conditions are established. Applications concerning the solvability conditions for equations of the form $Tx+f(x)=0$ are considered.
Received: 13.11.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 4, Pages 3355–3360
DOI: https://doi.org/10.1007/BF02672778
Bibliographic databases:
UDC: 519
Language: Russian
Citation: M. N. Yakovlev, “Implicit functions determined by equations with unbounded operators and the solvability of operator equations”, Computational methods and algorithms. Part XIII, Zap. Nauchn. Sem. POMI, 248, POMI, St. Petersburg, 1998, 216–224; J. Math. Sci. (New York), 101:4 (2000), 3355–3360
Citation in format AMSBIB
\Bibitem{Yak98}
\by M.~N.~Yakovlev
\paper Implicit functions determined by equations with unbounded operators and the solvability of operator equations
\inbook Computational methods and algorithms. Part~XIII
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 248
\pages 216--224
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl634}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693221}
\zmath{https://zbmath.org/?q=an:0977.47052}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 4
\pages 3355--3360
\crossref{https://doi.org/10.1007/BF02672778}
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