Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 615-623

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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.
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V. T. Volkov; N. N. Nefedov. Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 615-623. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a6/