摘要
非线性积分方程■(1)出现于核物理中,并为人们所注意。关于方程(1)解的唯一性,Stuart得出的条件是要求R(x,y)“很小”。作者之一在文献[2]中得出的条件是要求R(x,y)/(x^(2)-y^(2))是对称核,并且还证明了此时迭代序列收敛于解。
In this paper we have proved the uniqueness of the positive solutions of a nonlinear integral equation■which is of interest in nuclear physics.Applying a method quite different from Leggett’s,we have proved the successive sequence■(0<ψ_(0)(x)≤1)to be uniformly convergent to the unique positive solution.
作者
郭大钧
张庆雍
Guo Da-jun;Zhang Qing-yong
出处
《科学通报》
1979年第15期678-681,共4页
Chinese Science Bulletin