Two kinds of gradient representations for Nielsen equations

Fengxiang Mei; Huibin Wu; Yanmin Li

doi:10.13209/j.0479-8023.2016.078

Two kinds of gradient representations for Nielsen equations

Fengxiang Mei^*, Huibin Wu, Yanmin Li

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

The two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which the Nielsen equations can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of solution of the Nielsen equations. Some examples are given to illustrate the application of the results.

源语言	英语
页（从-至）	588-591
页数	4
期刊	Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis
卷	52
期	4
DOI	https://doi.org/10.13209/j.0479-8023.2016.078
出版状态	已出版 - 20 7月 2016

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title = "Two kinds of gradient representations for Nielsen equations",

abstract = "The two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which the Nielsen equations can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of solution of the Nielsen equations. Some examples are given to illustrate the application of the results.",

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AU - Mei, Fengxiang

AU - Wu, Huibin

AU - Li, Yanmin

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N2 - The two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which the Nielsen equations can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of solution of the Nielsen equations. Some examples are given to illustrate the application of the results.

AB - The two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which the Nielsen equations can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of solution of the Nielsen equations. Some examples are given to illustrate the application of the results.

KW - Generalized gradient system

KW - Nielsen equation

KW - Stability

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Two kinds of gradient representations for Nielsen equations

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