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AN ABSTRACT SCHEME FOR THE METHOD OF VARIATIONS AND NECESSARY CONDITIONS FOR AN EXTREMUM

Authors :
V I Plotnikov
V I Kazimirov
I M Starobinets
Source :
Mathematics of the USSR-Izvestiya. 26:133-151
Publication Year :
1986
Publisher :
IOP Publishing, 1986.

Abstract

An abstract scheme is presented for finding necessary conditions for optimality in a large class of extremal problems. A generalized separation theorem for convex cones is proved in order to obtain the main result. The operation of the scheme is illustrated by some concrete examples. Bibliography: 13 titles.

Details

ISSN :
00255726
Volume :
26
Database :
OpenAIRE
Journal :
Mathematics of the USSR-Izvestiya
Accession number :
edsair.doi...........5321d314067cd40742dcb08b3feaecbb
Full Text :
https://doi.org/10.1070/im1986v026n01abeh001135