An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations

被引：1

作者：

Dvirny A.I. ^{[1
]}

Slyn'ko V.I. ^{[2
]}

机构：

[1] Geroev Chernobylya Academy of Fire Safety of the MES of Ukraine, Cherkassy, 18000, 8, Onoprienko Str.

[2] S. P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev, 03057, 3, Nesterov Str.

来源：

Journal of Mathematical Sciences | 2013年 / 188卷 / 2期

关键词：

impulsive differential equations; Kamenkov's critical case; Lyapunov function; stability by Lyapunov;

D O I：

10.1007/s10958-012-1109-4

中图分类号：

学科分类号：

摘要：

A new approach to the investigation of the stability of nonlinear nonautonomous differential equations with impulse effects in critical cases is proposed. The approach is based on the direct method of Lyapunov with the use of piecewise differentiable functions. The sufficient conditions of the asymptotic stability of the critical position of equilibrium in one case are obtained. The case is analogous to Kamenkov's critical case. © 2012 Springer Science+Business Media New York.

引用

页码：85 / 101

页数：16

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