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

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	588-591
Number of pages	4
Journal	Beijing Daxue Xuebao (Ziran Kexue Ban)/Acta Scientiarum Naturalium Universitatis Pekinensis
Volume	52
Issue number	4
DOIs	https://doi.org/10.13209/j.0479-8023.2016.078
Publication status	Published - 20 Jul 2016

Keywords

Generalized gradient system
Nielsen equation
Stability

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10.13209/j.0479-8023.2016.078

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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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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.

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KW - Stability

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Two kinds of gradient representations for Nielsen equations

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Keywords

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