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Abstract <p>New concepts of radial and general radial stability, asymptotic stability, and complete instability of the zero solution to a differential system are introduced and studied. They turn out to be closely related to known similar properties of various types: Lyapunov, Perron, and upper-limit. Their connection with the measures of these properties turns out to be especially meaningful.</p>

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Radial Stability and Instability of a Differential System

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • I. N. Sergeev

摘要

Abstract

New concepts of radial and general radial stability, asymptotic stability, and complete instability of the zero solution to a differential system are introduced and studied. They turn out to be closely related to known similar properties of various types: Lyapunov, Perron, and upper-limit. Their connection with the measures of these properties turns out to be especially meaningful.