半无穷区间上积分边值问题多个正解的存在性  

Existence of multiple positive solutions for 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：《上海理工大学学报》2010年第4期318-322,共5页Journal of University of Shanghai For Science and Technology

基　　金：上海市教育委员会科研创新基金重点资助项目(10ZZ93)

摘　　要：研究了一类半无穷区间上含有积分边界条件的二阶微分方程Sturm-Liouville边值问题多个正解的存在性,利用Leggett-Williams不动点定理,得到了边值问题至少有三个正解的多解存在性结论.The existence of multiple positive solutions of Sturm-Liouville boundary value problems was studied for a class of second-order differential equations with integral boundary conditions on the half-line.By using the Leggett-Williams fixed point theorem,the existence theorem of at least three positive solutions for boundary value problems was achieved.

关 键 词：半无穷区间 积分边界 LEGGETT-WILLIAMS不动点定理 STURM-LIOUVILLE边值问题 正解 

分 类 号：O175.8[理学—数学]