Stability of solutions to impulsive differential equations in critical cases

被引：7

作者：

Dvirnyi, A. I. ^{[1
]}

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

机构：

[1] Acad Fire Safety, Cherkassy, Ukraine

[2] Timoshenko Inst Mech, Kiev, Ukraine

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2011年 / 52卷 / 01期

关键词：

impulsive equation; critical case; Lyapunov stability; SYSTEM;

D O I：

10.1134/S003744660601006X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a new approach to constructing a piecewise differentiable Lyapunov function for some classes of nonlinear nonstationary systems of impulsive differential equations in the critical case. This approach allows us to obtain new sufficient conditions for the Lyapunov stability of solutions to this class of systems.

引用

页码：54 / 62

页数：9

共 14 条

[1]

[Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892

[2]

ARNOLD VI, 1985, DYNAMICAL SYSTEMS, V1, P7

[3]

Babenko S.V., 2008, DOPOV NATS AKAD NAUK, P46

[4]

Chernikova O.S., 1982, Ukr. Mat. Mag, V34, P601