This article is cited in 7 papers

General scheme of asymptotic investigation of stable contrast structures

N. N. Nefyodov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: General scheme of asymptotic investigation of the questions of existence and stability of the contrast structures is proposed. This scheme is based on the development of the asymptotic method of differential inequalities, which was developed by author for different classes of singularly perturbed problems.

Keywords: contrast structures, singular perturbations, differential inequalities.

UDC: 517.953

MSC: 35B25, 35B35

Received: 05.11.2009