Existence of Multiple Fixed Points for Nonlinear Operators and Applications

作     者：Jing Xian SUN Ke Mei ZHANG 

作者机构：Department of Mathematics Xuzhou Normal University Xuzhou 221116 P. R. China Department of Mathematics Qufu Normal University Qufu 273165 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2008年第24卷第7期

页      面：1079-1088页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China (10671167 10471075) 

主　　题：cone fixed point index parallel sub-super solutions 

摘      要：In this paper, by the fixed point index theory, the number of fixed points for sublinear and asymptotically linear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least nine or seven distinct fixed points for sublinear and asymptotically linear operators is proved. Finally, the theoretical results are applied to a nonlinear system of Hammerstein integral equations.