一类非线性项含有导数的3阶边值问题的正解

The Positive Solutions of a Class of Third-Order Boundary-Value Problems with Derivative Dependence

应用不动点指数的计算结果,证明了一类非线性项依赖于未知函数导数的3阶边值问题正解的存在性.这类边值问题具有与已有文献中所讨论问题不同的阶数、边值条件和奇异性,最后给出1个例子作为对所获得结果的应用.

By means of the methods of fixed point index computation,the existence of positive solutions of a class of third-order boundary-value problems with derivative dependence is proved. The boundary-value problems considered possess different order,boundary conditions and singularity from those in previous works. An example is given to apply the results obtained.