Investigation of the stability of a nontrivial solution of the system of kinetic equations of chemical reaction
O. S. Yazovtseva1, T. F. Mamedova2, I. M. Gubaidullin3
| Annotation | 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. |
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| Keywords | mathematical modeling, reaction of hydroaluminizing olefins, Brower component-wise asymptotic equivalence, asymptotic stability with respect to some variables, comparison method |
1Postgraduate student of Applied Mathematics, Differential Equations and Theoretical Mechanics Department, Ogarev Mordovia State University, Saransk; kurinaos@gmail.com
2Professor of Applied Mathematics, Differential Equations and Theoretical Mechanics Department, Saransk; mamedovatf@yandex.ru
3Senior Researcher of Mathematical Chemistry Laboratory, Institute of Petrochemistry and Catalysis of Russian Academy of Sciences, Ufa; professor of Petroleum and Gas Technology Department, Ufa State Petroleum Technological University, Ufa; irekmars@mail.ru
Citation: O. S. Yazovtseva, T. F. Mamedova, I. M. Gubaidullin , "[Investigation of the stability of a nontrivial solution of the system of kinetic equations of chemical reaction]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:4 (2016) 152–158 (In Russian)
