摘要
本文研究了一类带有变号二阶四点奇异边值问题的正解的存在性,首先我们给出其格林函数,其次我们结合下解的方法和拓扑度理论得到了其正解的存在性.最后给出一个例题阐述得到结果的正确性.本文的结果是新的,并且扩展了已有的结果.
In this paper, by using the method of lower solution and topology degree theorem, we study the existence of positive solution for a class of singular second-order four-point boundary value problem with sign changing nonlinearity. The associated Green＇s function for the above problem is given. As an application, we also give an example to demonstrate our result. The results of this paper are new and extend previously known results.
出处
《应用数学学报》
CSCD
北大核心
2010年第1期171-180,共10页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10771212)
江苏省自然科学基金(06KJB110010)资助项目
关键词
格林函数
正解
四点边值问题
奇异
变号
green＇s function
positive solution
four-point boundary value problem
singular
sign changing nonlinearity
