ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS  

作　　者：SUNJingxian ZHANGKemei 

机构地区：[1]DepartmentofMathematics,XuzhouNormalUniversity,Xuzhou221116,China [2]DepartmentofMathematics,QufuNormalUniversity,Qufu273165,China

出　　处：《Journal of Systems Science & Complexity》2003年第2期229-235,共7页系统科学与复杂性学报（英文版）

基　　金：This research is supported by NSFC (10071042);NSFSP (Z2000A02).

摘　　要：In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations.

关 键 词：CONE fixed point index theory uniformly positive operator parallelsub-super solutions 

分 类 号：O177.91[理学—数学]