Conditional extrema of functionals in topological linear spaces

M. F. Sukhinin

M. V. Lomonosov Moscow State University

Abstract: A theorem of Lyusternik on conditional extrema of a differentiable functional defined on a Banach space is generalized to the case of a topological linear space.

UDC: 513.88

Received: 28.11.1972

 English version: Mathematical Notes, 1973, 14:3, 775–779

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