半无穷区间上二阶微分方程积分边值问题多个正解的存在性  

Existence of multiple positive solutions for second-order differential equation with integral boundary value problems on the half-line

作　　者：陈建名[1] 刘锡平[1] 肖羽[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《山东大学学报（理学版）》2011年第4期37-41,共5页Journal of Shandong University(Natural Science)

基　　金：上海市教委科研创新基金重点资助项目(10ZZ93)

摘　　要：研究了一类二阶微分方程在半无穷区间上具有积分边界条件的Sturm-L iouville边值问题,讨论了多个正解的存在性,利用锥上不动点定理,得到了边值问题至少有三个正解存在的充分条件。The existence of multiple positive solutions of Sturm-Liouville boundary value problems are studied for a class of second-order differential equation with integral boundary conditions on the half-line.By using the fixed point theorem in a cone,the sufficient conditions for the boundary value problems at least three positive solutions are obtained.

关 键 词：半无穷区间 积分边界 不动点定理 全连续算子 正解 

分 类 号：O175.8[理学—数学]