摘要
本文讨论一类凹算子在不作紧性假设下不动点的存在性,以及一类变号核算子方程可解性,并应用于 Hammerstein 方程。
This paper deals with a kind of concave operators without compactness
conditions and of integral equations of Hammerstein type with nonpositive
kernel.Existence of fixed points is established under certain concave assump-
itons and applications to integral equations are given.
出处
《山东大学学报(理学版)》
CAS
CSCD
1989年第4期30-36,共7页
Journal of Shandong University(Natural Science)
关键词
凹算子
不动点
非线性积分方程
变号核
concave operators
fixed points
nonlinear Hammerstein equations
nonpositive kernel