奇异二阶泛函微分方程边值问题的多重正解

MULTIPLE POSITIVE SOLUTIONS FOR BOUNDARV VALUE PROBLEM OF SECOND ORDER SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS

本文把Ｚｈａｏｌｉ Ｌｉｕ［１］和Ｅｒｂｅ等人［２］关于常微分方程边值问题多重正解的工作推广到二阶奇异混合型泛函微分方程边值问题，证明了所考虑的方程边值问题存在至少两个正解的充分条件．

We used the fixed point index theorem in a cone to investigate the existence of multiple positive solutions for boundary value problem of a second-order singular functional differential equation of mixed type. The results in this paper generalize the results for the boundary value problem of ordinary differential equations given by [1,2].