Stability analysis of a mathematical model of Lucas some of the variables.
T. F. Mamedova1, D. K. Egorova2, E. V. Desyaev3
| Annotation | In this article uses a method E. V. Voskresensky for analysis stability of the system of differential equations. It is based on the method of comparison. Here the comparison equation constructed for the test functions. We know the behavior of solutions of the comparison. Then compares the solutions of the equations by reference function. |
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| Keywords | nonlinear systems of the ordinary differential equations, a method of comparing, model of Lucas |
1Professor of Applied Mathematics, differential equations and theoretical mechanics Chair, Mordovian State University after N.P. Ogarev, Saransk; mamedovatf@yandex.ru.
2 Assistant professor of Applied Mathematics, differential equations and theoretical mechanics Chair, Mordovian State University after N.P. Ogarev, Saransk; egorovadk@mail.ru.
3Assistant professor of Applied Mathematics, differential equations and theoretical mechanics Chair, Mordovian State University after N.P. Ogarev, Saransk; desyaev@rambler.ru.
Citation: T. F. Mamedova, D. K. Egorova, E. V. Desyaev , "[Stability analysis of a mathematical model of Lucas some of the variables.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:3 (2015) 30–36 (In Russian)
