### The task of investigation stability integral poly measures

#### A. V. Zubov1, S. V. Zubov2, I. S. Zubov3, N. N. Uchvatova4

Annotation In article is looks the new methods of investigation stability systems ordinary differential equations. Is bring the definition of integral multitudes, positive and negative clarity of function. autonomous system of ordinary differential equations, Lyapunov stability, integral manifold

1Professor of the Department of management theories, St. Petersburg State University; ddemidova@mail.ru

2Docent of the Department of management theories, St. Petersburg State University; ddemidova@mail.ru

3Postgraduate of the Department of management theories, St. Petersburg State University; ddemidova@mail.ru

4Docent of the Department of management theories, St. Petersburg State University; ddemidova@mail.ru

Citation: A. V. Zubov, S. V. Zubov, I. S. Zubov, N. N. Uchvatova, "[The task of investigation stability integral poly measures]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 160–167 (In Russian)