带变号系数的经典Gelfand模型的正解

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

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。

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 .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.