Banach空间中一阶非线性积分-微分包含边值问题的正解  

Multiple Positive Solutions for First Order Nonlinear Integro- Differential Inclusions in Banach Spaces

作　　者：俞亚娟[1] 

机构地区：[1]江苏工业学院信息科学系,江苏常州213164

出　　处：《江苏工业学院学报》2006年第1期58-61,共4页Journal of Jiangsu Polytechnic University

摘　　要：在半序Banach空间中,利用集值映射得不动点定理,讨论一阶非线性积分-微分包含边值问题多个正解的存在性,并把所的结果应用到单值映射,所得结果减弱了对函数f的限制。By using the fixed point theorem for the set-valued maps, this paper discusses the existence of multi-positive solutions of the boundary value problems for the first order nonlinear integro-differential inclusions in Banaeh spaces. When the conclusions are applied to the single value maps, they weaken the restricted conditions on the function f.

关 键 词：集值映射 上半连续 半序BANACH空间 正解 

分 类 号：O175.8[理学—数学]