Research of stability-similar properties of partial-equilibrium state of a system of nonlinear differentional equations
V. I. Dobkin1, V. N. Shchennikov2, E. V. Shchennikova3
| Annotation | We study the asymptotic stability and stability of partial equilibrium state under constantly acting perturbations, small at any time, of nonlinear system of differential equations, for which a system of the first approximation includes homogeneous vector-functions of order $\mu>1$. |
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| Keywords | asymptotic stability, perturbations, Lyapunov function, phase variables, equilibrium position |
1Master of Applied Mathematics, Differential Equations and Theoretical Mechanics Chair, Mordovian State University after N.P. Ogarev, Saransk; valeradz@rambler.ru
2Professor of Applied Mathematics, Differential Equations and Theoretical Mechanics Chair, Mordovian State University after N.P. Ogarev, Saransk; du@math.mrsu.ru
3Аssistant professor of Fundamental Informatics Chair, Mordovian State University after N.P. Ogarev, Saransk; schennikova8000@yandex.ru
Citation: V. I. Dobkin, V. N. Shchennikov, E. V. Shchennikova, "[Research of stability-similar properties of partial-equilibrium state of a system of nonlinear differentional equations]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:2 (2016) 25–29 (In Russian)
