带有积分边值条件的三阶边值问题正解的存在性

Existence of positive solutions of the third order boundary value problems with integral boundary conditions

应用特征值准则研究了一类三阶带有积分边值条件边值问题正解的存在性,其中非线性项f:[0,1]×[0,∞)→[0,∞)满足Caratheodory条件。在赋予非线性项一定条件下,得到该边值问题至少存在3个正解的充分条件。

By using eigenvalue criteria,the existence of positive solutions to the boundary value problems with integral boundary conditions is considered,where the nonlinear term f:×[0,∞)→[0,∞) satisfies Caratheodory conditions.The existence of at least three positive solutions is proved for the boundary value problems when the nonlinear term meets some certain conditions.