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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 1998 Volume 4, Issue 4, Pages 1165–1178 (Mi fpm349)

This article is cited in 2 papers

Research Papers Dedicated to the Memory of A. N. Tikhonov

Asimptotics of contrast extremals in simplest vector variational problem

M. G. Dmitriev, Ni Ming Kang

Program Systems Institute of RAS

Abstract: We investigate contrast structures “trajectories with inner and outer boundary layers” in simplest vector variational problem. We prove that spike structures are connected with the points of local maximum and passage structures — with points of global maximum of some characteristic functional.

UDC: 517.97

Received: 01.06.1997



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