一类非紧减算子的不动点定理及其应用

FIXED POINT THEOREMS FOR A CLASS OF NONCOMPACT DECREASING OPERATORS AND THEIR APPLICATIONS

本文研究了一类非紧减算子正不动点的存在唯一性和固有元的存在性及解集结构，并应用于无界区域非线性积分方程和Banach空间微分方程．

In this paper, some existence and uniqueness theorems of positive fixed points for a class of noncompact decreasing operators are obtained; moreover, the existence and the structure of positive eigenvectors are studied, and then they are used to nonlinear integral equations on unbounded regions and differential equations in Banach spaces.