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中文摘要：
利用拓扑方法讨论了一类非线性Sturm—Liouville {-u″=λf（x,u）,0≤x≤1 a0u（0）＋βou′（0）=0,a1u（1）＋βou′（1）=0. 边值问题研究了上述问题的正解的全局结构，在非线性项f（x，u）不满足条件f（x，u）≥0（u≥0）时获得了正解的存在性。
英文摘要：
The following nonlinear Sturm-Liouville problem {-u″=λf（x,u）,0≤x≤1 a0u（0）＋βou′（0）=0,a1u（1）＋βou′（1）=0. is discussed by topological methods the above problem is obtained, and is proven under the condition that 0 （u 〉/0）. The global structure of the set of positive solutions to the existence of positive solutions of the above problem the nonlinear term f（x,u） does not satisfy f（x,u）≥0（u≥0）.
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