Invariance Principle for Nonautonomous Functional-Differential Equations with Discontinuous Right-Hand Sides

被引：0

作者：

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

机构：

[1] Russian Acad Sci, Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia

来源：

DOKLADY MATHEMATICS | 2017年 / 96卷 / 03期

关键词：

D O I：

10.1134/S1064562417060217

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For nonautonomous functional-differential equations with piecewise continuous right-hand sides and solutions understood in the sense of A.F. Filippov, the method of limit differential inclusions is proposed to study the asymptotic properties of solutions. Properties of the type of the invariance of omega-limit sets and analogues of LaSalle's invariance principle are proved by applying invariantly differentiable Lyapunov functionals with derivatives of constant sign.

引用

页码：612 / 615

页数：4

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