关于一类二阶两点边值问题的正解存在性

On the Existence of Positive Solutions for a Class of Second-Order Two-Point Boundary Value Problems

利用锥拉伸与锥压缩型的Krasnoselskii不动点定理研究了一类非线性二阶两点边值问题的正解存在性。这些结论是在比已有文献更弱的条件下获得证明的。其中 ,允许非线性项是奇异的 ,并且允许非线性项既不是超线性的 ,又不是次线性的。

By applying the Krasnoselskii fixed point theorem on cone expansion and compression type, the existence of positive solution is investigated for a class of nonlinear second_order two_point boundary value problems. These results are proven under weaker conditions than those of previous literatures. Here, the nonlinear term is allowed to be singular, and be neither superlinear nor sublinear.