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This article is cited in 4 scientific papers (total in 4 papers)
An Existence Criterion for a Smooth Function under Constraints
A. A. Vasil'eva M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
In this paper, we study conditions for the existence of a function satisfying constraints on its value at each point and on its derivative.
Keywords:
upper (lower) semicontinuous function, interval between two functions, locally Lipschitz function, Fréchet differentiable function, semimetric, Fubini's theorem.
Received: 26.05.2006
Citation:
A. A. Vasil'eva, “An Existence Criterion for a Smooth Function under Constraints”, Mat. Zametki, 82:3 (2007), 335–346; Math. Notes, 82:3 (2007), 295–308
Linking options:
https://www.mathnet.ru/eng/mzm3848https://doi.org/10.4213/mzm3848 https://www.mathnet.ru/eng/mzm/v82/i3/p335
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