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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 248, Pages 216–224
(Mi znsl634)
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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
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
Linking options:
https://www.mathnet.ru/eng/znsl634 https://www.mathnet.ru/eng/znsl/v248/p216
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Abstract page: | 140 | Full-text PDF : | 45 |
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