Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions

被引：8

作者：

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

机构：

[1] Evsevev Mordovia State Pedag Inst, Saransk, Russia

来源：

MATHEMATICAL NOTES | 2018年 / 103卷 / 1-2期

关键词：

boundedness of solutions; boundedness of solutions in the sense of Poisson; Lyapunov function; partial boundedness of solutions; partially controllable initial conditions; UNIFORM BOUNDEDNESS; VARIABLES; PART; STABILITY;

D O I：

10.1134/S0001434618010236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notions of different types of boundedness in the sense of Poisson of solutions to systems of differential equations are introduced. Sufficient conditions are obtained for different types of boundedness of solutions in the sense of Poisson, which are introduced in the paper.

引用

页码：221 / 231

页数：11

共 9 条

[1] Uniform boundedness in part of the variables of solutions to systems of differential equations with partially controllable initial conditions [J].