%0 Journal Article
%T 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
%A Zhang Zhitao
%A
张志涛
%J 系统科学与数学
%D 1998
%I
%X 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.
%K Cone
%K convex (concave) operators
%K decreasing operators
%K fixed points
锥
%K 凸(凹)算子
%K 减算子
%K 不动点
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=E9C9D363AE9392B40D4729A537195224&yid=8CAA3A429E3EA654&vid=13553B2D12F347E8&iid=E158A972A605785F&sid=B941678158018439&eid=BA48F0B914ED890A&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=12&reference_num=0