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Conditional extrema of functionals in topological linear spaces

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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.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 14, No. 3, pp. 375–382, Septembers 1973.

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Sukhinin, M.F. Conditional extrema of functionals in topological linear spaces. Mathematical Notes of the Academy of Sciences of the USSR 14, 775–779 (1973). https://doi.org/10.1007/BF01147454

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  • DOI: https://doi.org/10.1007/BF01147454

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