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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 315–323
(Mi smj2535)
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This article is cited in 3 scientific papers (total in 3 papers)
Local dynamics of an equation with large delay and distributed deviation of the space variable
I. S. Kashchenkoa, S. A. Kashchenkoab a Demidov Yaroslavl State University, Yaroslavl, Russia
b National Research Nuclear University "MEPhI", Moscow, Russia
Abstract:
We study the local dynamics in a neighborhood of an equilibrium state for an equation with delay in time and integral distribution in the space variable. In the close-to-critical cases depending on the relation between the small parameters, we construct special equations – quasinormal forms, describing the behavior of solutions to the initial problem.
Keywords:
local dynamics, delay, deviation of the space variable, small parameter, quasinormal form.
Received: 30.11.2011 Revised: 05.12.2013
Citation:
I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of an equation with large delay and distributed deviation of the space variable”, Sibirsk. Mat. Zh., 55:2 (2014), 315–323; Siberian Math. J., 55:2 (2014), 254–261
Linking options:
https://www.mathnet.ru/eng/smj2535 https://www.mathnet.ru/eng/smj/v55/i2/p315
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Abstract page: | 357 | Full-text PDF : | 91 | References: | 63 | First page: | 14 |
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