Mat. Zametki, 2007 Volume 82, Issue 3, Pages 335–346
(Mi mzm3848)
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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.
UDC:
517.982 Received: 26.05.2006
DOI:
10.4213/mzm3848
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