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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 615–623 (Mi zvmmf484)  

This article is cited in 41 scientific papers (total in 41 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
References:
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.
Received: 31.10.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 4, Pages 585–593
DOI: https://doi.org/10.1134/S0965542506040075
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. T. Volkov, N. N. Nefedov, “Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 615–623; Comput. Math. Math. Phys., 46:4 (2006), 585–593
Citation in format AMSBIB
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\by V.~T.~Volkov, N.~N.~Nefedov
\paper Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 4
\pages 615--623
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2260353}
\zmath{https://zbmath.org/?q=an:05200932}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 4
\pages 585--593
\crossref{https://doi.org/10.1134/S0965542506040075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746078394}
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  • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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