%0 Journal Article
%T IMPROVEMENT ON AMANN''S THREE-SOLUTION THEOREM AND APPLICATIONS<br>Amann三解定理的改进及其应用
%A Fu Yi LI
%A <br>李福义
%J 系统科学与数学
%D 1999
%I 
%X in this paper, we have improved the famous Amann's three--solution theorem1,2]in nonlinear functional analysis, and have removed the forllwing conditions used by Amann:The cone is solid, the operator A is strongly increasing and A_e= A o Je|u1,u2]e is a strict setcontraction. The improved Amann's three-solution theorem can be applied to Hammersteinintegral equations, where the kernel k(x, y) is not everywhere positive.
%K Cone
%K fixed point index
%K kernel k(x
%K y)<br>锥
%K 不动点指数
%K 核函数k（x，y）
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=F1F7C632BA2AE98E0D9E1BA4D25A8801&yid=B914830F5B1D1078&vid=2A8D03AD8076A2E3&iid=E158A972A605785F&sid=1E9426A299DC9FFD&eid=DA74B62FE4348759&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0