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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 4, Pages 152–158
(Mi svmo638)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical modeling and computer science
Investigation of the stability of a nontrivial solution of the system of kinetic equations of chemical reaction
O. S. Yazovtsevaa, T. Ph. Mamedovaa, I. M. Gubaydullinb a Ogarev Mordovia State University, Saransk
b Institute of Petrochemistry and Catalysis of RAS
Abstract:
The article deals with a mathematical model of olefins’ hydroaluminazing chemical reaction. The authors investigate asymptotic stability of non-zero equilibrium position of the system. The approach is based on the comparison method of E.V. Voskresensky and on Brower component-wise asymptotic equivalence of examined system and some linear system. It is shown that the equilibrium position is asymptotically stable in the first component and unstable with respect to the rest of the components.
Keywords:
mathematical modeling, reaction of hydroaluminizing olefins, Brower component-wise asymptotic equivalence, asymptotic stability with respect to some variables, comparison method.
Citation:
O. S. Yazovtseva, T. Ph. Mamedova, I. M. Gubaydullin, “Investigation of the stability of a nontrivial solution of the system of kinetic equations of chemical reaction”, Zhurnal SVMO, 18:4 (2016), 152–158
Linking options:
https://www.mathnet.ru/eng/svmo638 https://www.mathnet.ru/eng/svmo/v18/i4/p152
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Abstract page: | 132 | Full-text PDF : | 31 | References: | 20 |
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