FIXED POINT THEOREMS FOR A CLASS OF NONCOMPACT DECREASING OPERATORS AND THEIR APPLICATIONS
一类非紧减算子的不动点定理及其应用

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.