Ultimate boundedness with respect to part of the variables of solutions of systems of differential equations with partly controlled initial conditions

被引：8

作者：

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

机构：

[1] Mordoviya State Univ, Saransk, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 10期

关键词：

Lyapunov Function; Function Versus; Condition Versus; Partial Equilibrium; Uniform Boundedness;

D O I：

10.1134/S0012266113100054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notions of equiultimate boundedness and uniform ultimate boundedness with respect to part of the variables for solutions with partly controlled initial conditions. We obtain sufficient conditions for the equiultimate boundedness and uniform ultimate boundedness with respect to part of the variables of solutions with partly controlled initial conditions. We introduce the notions of equiboundedness and uniform boundedness with respect to part of the variables for solutions of systems with partly controlled initial conditions. We obtain sufficient conditions for the equiboundedness and uniform boundedness with respect to part of the variables of solutions with partly controlled initial conditions.

引用

页码：1246 / 1251

页数：6