FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 4, PAGES 1165-1178

Asimptotics of contrast extremals in simplest vector variational problem

M. G. Dmitriev
Ni Ming Kang

Abstract

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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.

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Last modified: January 25, 1999