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Existence and Stability of Positive Solutions for an Elliptic Cooperative System 被引量：4

Existence and Stability of Positive Solutions for an Elliptic Cooperative System
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摘要 By discussing the properties of a linear cooperative system, the necessary and sufficient conditions for the existence of positive solutions of an elliptic cooperative system in terms of the principal eigenvalue of the associated linear system are established, and some local stability results for the positive solutions are also obtained. By discussing the properties of a linear cooperative system, the necessary and sufficient conditions for the existence of positive solutions of an elliptic cooperative system in terms of the principal eigenvalue of the associated linear system are established, and some local stability results for the positive solutions are also obtained.
作者 Li Jun HEI Jian Hua WU
机构地区 College of Mathematics and Information Science Department of Mathematics College of Mathematics and Information Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第5期1113-1120,共8页 数学学报（英文版）
基金 Project supported by the National Natural Science Foundation of China(10071048) Liu Hui Center for Applied Mathematics,Nankai University and Tianjin University
关键词 Cooperative system Positive solution Sub- and supersolution methods Principal eigen value Cooperative system, Positive solution, Sub- and supersolution methods, Principal eigen value
分类号 O175.25 [理学—基础数学]
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参考文献11

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Acta Mathematica Sinica,English Series
2005年 第5期

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