一个两点边值问题多重正解的存在性

The Existence of Multiple Positive Solutions to Two-Point Boundary Value Problems

利用不动点指数的同伦不变性和最大值原理，经过构造一个函数，得到了非线性两点边值问题至少存在两个正解的新的充分条件．该结果在Ｄｉｒｉｃｈｌｅｔ边值问题的情况下，严格优于文献［１］的相应结果．

In this paper, me obtain the result that there are at least two positive solutions to nonlinear two point boundary value problems by using homotopy invariance of the fixed point index, maximum principles, and the construction of a function. This result is strictly better than the corresponding result of Z. Liu and F. Li in, under conditions of dirichlet boundary value problems.