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| 一类四阶奇异半正边值问题正解的存在性 | |
| 引用本文： | 王鑫,刘笑颖,刘春晗.一类四阶奇异半正边值问题正解的存在性[J].徐州师范大学学报(自然科学版),2008,26(4):23-27. |
| 作者姓名： | 王鑫 刘笑颖 刘春晗 |
| 作者单位： | 1. 徐州师范大学,科文学院,江苏,徐州,221116 2. 徐州师范大学,数学科学学院,江苏,徐州,221116 3. 山东教育学院,山东,济南,250013 |
| 基金项目： | 国家自然科学基金 |
| 摘 要： | 利用不动点指数理论，研究了一类四阶奇异半正边值问题，得到了其属于C^20，1]∩C^4（0，1）正解存在的新结果． |
| 关 键 词： | 奇异边值问题 正解 半正 超线性 锥 |
Positive Solution of Fourth-order Singular Semipositone Boundary Value Problem |
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| WANG Xin,LIU Xiao-ying,LIU Chun-han.Positive Solution of Fourth-order Singular Semipositone Boundary Value Problem[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(4):23-27. | |
| Authors: | WANG Xin LIU Xiao-ying LIU Chun-han |
| Institution: | WANG Xin , LIU Xiao-ying , LIU Chun-han (1. Kewen Institute, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China; 2. School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China 3. Department of Mathematics, Shandong Education College, Ji＇nan, Shandong, 250013, China) |
| Abstract: | This paper studies a class of singular semipositive boundary value problem of fourth-order differential equations by using the fixed point index combining with shift transformation. A newresult on the existence of C^2 0,1]∩C^4 （0,1） positive solution for this class of differential equations is derived. |
| Keywords: | singular boundary value problem positive solution semipositive super-linear cone |
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