带变号系数的经典Gelfand模型的正解

姚庆六

带变号系数的经典Gelfand模型的正解

姚庆六

南京经济学院应用数学系, 南京 210003

详细信息

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
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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

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

YAO Qing-liu

Department of Applied Mathematics, Nanjing University of Economics, Nanjing 210003, P R China

摘要

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。
- Gelfand模型 /
- 变号系数 /
- 正解 /
- 存在性 /
- 单调迭代方法
Abstract: The existence and iteration of positive solution for classical Gelfand models are considered,where the coefficient of nonlinear term is allowed to change sign in [0, 1]. By using the monotone iterative technique, an existence theorem of positive solution is obtained, corresponding iterative process and convergence rate are given. This iterative process starts off with zero function, hence the process is simple, feasible and effective.
- Gelfand model /
- coefficient changed sign /
- positive solution /
- existence /
- monotone iterative technique

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参考文献(12)

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