Geodesic
Investigation of the stability of a nontrivial solution of the system of kinetic equations of chemical reaction
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 152-158

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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. 
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     title = {Investigation of the stability of a nontrivial solution of the system of kinetic equations of chemical reaction},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
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     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a15/}
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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. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 152-158. http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a15/