一类带积分边界二阶非线性常微分方程正解的存在性  

Existence of positive solutions for a type of second-order nonlinear ordinary differential equations with integral boundary conditions

作　　者：柳树[1] 贾梅[1] 田应强[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381-384,390,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：利用锥拉伸锥压缩不动点定理,研究了一类带积分边界的二阶常微分非局部问题正解的存在性,得到了至少一个正解存在的充分条件,同时给出了相应边值问题的积分核.By using the fixed-point theorem in cones,the existence of positive solutions was studied for a type of second-order nonlinear ordinary differential equations with integral boundary conditions.The sufficient conditions were obtained for at least one positive solution.Moreover,the associated integral kernels for boundary value problems were given.

关 键 词：边值问题 正解 锥上不动点定理 积分边界 

分 类 号：O175.8[理学—数学]