奇异二阶泛函微分方程积分边值问题的正解

Positive Solutions for Two-order Functional Differential Equations under the Integral Boundary Value Condition

通过锥拉伸与压缩定理讨论了如下二阶泛函微分方程积分边值问题正解的存在性,其中m：（0,T）→[0,＋∞）连续,并且0〈∫_0~Tm（s）ds〈1;h：（0,T）→[0,＋∞）连续,可在t=0和t=T处奇异且0〈∫_0~Th（s）ds〈＋∞.

In this paper,by using the fixed point theorem,we studied the existence of positive solutions for two-order functional differential equations under the integral boundary value condition： where m：（0,T）→[0,＋∞） is continuous and 0∫_0~T m（s）ds1;h：（0,T）→[0,＋∞） is continuous which can be singular at t = 0 and t = T,and 0∫_0~T h（s）ds＋∞.