This article is cited in 42 papers

Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations

V. T. Volkov, N. N. Nefedov

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

Abstract: The asymptotical method of differential inequalities is developed for a new class of periodic problems of reaction-diffusion type. The problem of the existence and Lyapunov stability of periodic solutions with internal transient layers in the case of balanced nonlinearity is studied.

Key words: singular perturbations, reaction-diffusion, contrast structures, internal layers.

UDC: 519.633

Received: 31.10.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:4, 585–593

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