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| 一类带有变号二阶四点奇异边值问题的正解 | |
| 引用本文： | 解大鹏,刘洋,柏传志,方明.一类带有变号二阶四点奇异边值问题的正解[J].应用数学学报,2010,33(1). |
| 作者姓名： | 解大鹏 刘洋 柏传志 方明 |
| 作者单位： | 1. 合肥师范学院数学系,合肥,230061 2. 淮阴师范学院数学科学学院,淮安,223300 3. 延边大学理学院数学系,延吉,133002 |
| 基金项目： | 国家自然科学基金，江苏省自然科学基金 |
| 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-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. |
| 关 键 词： | 格林函数 正解 四点边值问题 奇异 变号 |
Positive Solution for a Class of Singular Second-order Four-point Boundary Value Problem with Sign Changing Nonlinearity |
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| XIE DAPENG,LIU YANG,BAI CHUANZHI,FANG MING.Positive Solution for a Class of Singular Second-order Four-point Boundary Value Problem with Sign Changing Nonlinearity[J].Acta Mathematicae Applicatae Sinica,2010,33(1). | |
| Authors: | XIE DAPENG LIU YANG BAI CHUANZHI FANG MING |
| Abstract: | 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. |
| Keywords: | green's function positive solution four-point boundary value problem singular sign changing nonlinearity |
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