| 一类四阶奇异Sturm-Liouville边值问题正解存在的充分必要条件 |
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| 引用本文： | 杨景保,韦忠礼.一类四阶奇异Sturm-Liouville边值问题正解存在的充分必要条件[J].应用泛函分析学报,2010,12(2):143-148. |
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| 作者姓名： | 杨景保 韦忠礼 |
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| 作者单位： | 1. 毫州师范高等专科学校,理科系,蒙城,233500
2. 山东建筑大学,理学院,济南,250101;山东大学数学,学院,济南,250100 |
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| 基金项目： | 亳州师范高等专科学校基金，安徽省自然科学基金，山东大学数学学院基金 |
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| 摘 要： | 研究了一类非线性四阶微分方程奇异Sturm-Liouville边值问题,利用锥上的不动点定理得到了这类方程的C~30,1]正解和C~20,1]正解存在的充分必要条件.
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| 关 键 词： | 四阶微分方程 Sturm—Liouville边值问题 正解 充分必要条件 锥 |
Necessary and Sufficient Condition for the Existence of Positive Solutions to a Class of Fourth-order Singular Sturm-Liouville Boundary Value Problems |
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| YANG Jingbao,WEI Zhongli.Necessary and Sufficient Condition for the Existence of Positive Solutions to a Class of Fourth-order Singular Sturm-Liouville Boundary Value Problems[J].Acta Analysis Functionalis Applicata,2010,12(2):143-148. |
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| Authors: | YANG Jingbao WEI Zhongli |
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| Institution: | 1. Department of Sciences, Bozhou Teachers College, Mengcheng 233500, China 2. School of Sciences, Shandong Jianzhu University, Ji＇nan 250101, China 3. School of Mathematics, Shandong University, Ji＇nan 250100, China) |
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| Abstract: | This paper studies a class of singular Sturm-Liouville boundary value problems of fourth- order differential equations. A necessary and sufficient condition for the existence of C^30, 1] positive solutions as well as C^20, 1] positive solutions of the nonlinear differential equations is established by means of the fixed point theorems on cones. |
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| Keywords: | Sturm-Liouville |
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