Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations

被引：4

作者：

Lapin, K. S. ^{[1
]}

机构：

[1] Evsevev Mordovian State Pedag Univ, Saransk 430007, Russia

来源：

MATHEMATICAL NOTES | 2018年 / 104卷 / 1-2期

关键词：

boundedness of solutions; Poisson boundedness of solutions; vector Lyapunov function; partial boundedness of solutions; partially controlled initial conditions; VARIABLES; PART;

D O I：

10.1134/S0001434618070088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Various forms of uniform-ultimate Poisson boundedness of solutions and of ultimate Poisson equiboundedness of solutions are introduced. Sufficient conditions for various forms of uniform-ultimate Poisson boundedness and of ultimate Poisson equiboundedness of solutions are obtained by using the method of vector Lyapunov functions.

引用

页码：63 / 73

页数：11

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