Sufficient Conditions for Boundedness of Motion of Nonlinear Systems with Respect to Some Variables

被引：0

作者：

Martynyuk, A. A. ^{[1
]}

Chernienko, V. O. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, 3 Nesterova St, UA-03057 Kyiv, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2024年 / 60卷 / 04期

关键词：

boundedness of motion with respect to some variables; evaluation of the norm of solutions of equations of perturbed motion; systems of differential equations with fast and slow variables;

D O I：

10.1007/s10778-024-01293-7

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

New sufficient conditions for the boundedness of motion with respect to some variables are obtained. These conditions are based on an evaluation of the norm of solutions to the equations of perturbed motion. The application of the obtained result is shown in the process of qualitative analysis of solutions of systems of differential equations with fast and slow variables.

引用

页码：406 / 414

页数：9

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