## 留言板

 引用本文: 姚庆六. 带变号系数的经典Gelfand模型的正解[J]. 应用数学和力学, 2002, 23(12): 1301-1306.
YAO Qing-liu. The Positive Solution of Classical Gelfand Model With Coefficient That Changes Sign[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1301-1306.
 Citation: YAO Qing-liu. The Positive Solution of Classical Gelfand Model With Coefficient That Changes Sign[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1301-1306.

## 带变号系数的经典Gelfand模型的正解

###### 作者简介:姚庆六(1946- ),男,上海人,教授,硕士,从事非线性泛函分析与非线性微分方程的研究(E-mail:maqs@nwnu.edu.cn).
• 中图分类号: O175.8

## The Positive Solution of Classical Gelfand Model With Coefficient That Changes Sign

• 摘要: 考察了经典Gelfand模型的正解的存在与迭代,其中非线性项的系数允许在[0,1]中改变符号。利用单调迭代方法得到了一个正解存在定理,给出了相应的迭代程序和收敛速度。由于这个迭代程序是从零函数开始的,因此它是简单、可行并且有效的。
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##### 出版历程
• 收稿日期:  2000-11-20
• 修回日期:  2002-06-14
• 刊出日期:  2002-12-15

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