序Banach空间超线性算子方程的多重解及其应用(英文)  

Multiple Solutions for Superlinear Operator Equations in Ordered Banach Spaces and Its Applications

作　　者：张克梅[1] 孙经先[2] 

机构地区：[1]曲阜师范大学数学系,山东曲阜273165 [2]徐州师范大学数学系,江苏徐州221000

出　　处：《应用泛函分析学报》2003年第1期59-63,共5页Acta Analysis Functionalis Applicata

基　　金：Project supported by NSFC(198710 4 8) and NSFSP(Z2 0 0 0 A0 2 )

摘　　要：通过不动点指数理论 ,讨论了一类超线性算子方程的多重解问题 .在合适的条件下 ,我们至少得到了三个解 :一个零解 ,一个正解和一个负解 .by fixed point index theory, multipli Ci Ty question of solutions to superlinear operator equations in ordered banach spa Ce is discussed. Under suitable conditions, at least three distinct solutions ar E obtained: one zero, one positive and one negative.finally, the abstract result S are applied to superlinear two-point boundary value problems. =

关 键 词：序BANACH空间 超线性算子方程 (H)-条件 不动点指数理论 两点边值问题 多重解 

分 类 号：O177.2[理学—数学] O241.81[理学—基础数学]