| 一类四阶奇异非线性积分边值问题正解的存在性 |
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| 引用本文： | 王全义,邹黄辉.一类四阶奇异非线性积分边值问题正解的存在性[J].华侨大学学报(自然科学版),2014,0(1):112-116. |
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| 作者姓名： | 王全义 邹黄辉 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 基金项目： | 国家自然科学基金数学天元基金资助项目(11226145) |
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| 摘 要： | 研究一类四阶奇异非线性积分边值问题正解的存在性问题. 利用锥压缩锥拉伸不动点定理及一些分析技巧,建立该边值问题存在一个及多个正解的一些新结果.所得结果推广并改进了先前的相关结果.
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| 关 键 词： | 锥 正解 非线性积分边值问题 不动点定理 |
Existence of Positive Solutions for a Class of Fourth-Order Singular Nonlinear Integral Boundary Value Problems |
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| WANG Quan-yi;ZOU Huang-hui.Existence of Positive Solutions for a Class of Fourth-Order Singular Nonlinear Integral Boundary Value Problems[J].Journal of Huaqiao University(Natural Science),2014,0(1):112-116. |
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| Authors: | WANG Quan-yi;ZOU Huang-hui |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | We study the problem on the existence of positive solutions for a class of fourth-order singular nonlinear integral boundary value problem. By employing the fixed point theorem in cones and some analytical skills, we obtain some new results on the existence of one or multiple positive solutions for the boundary value problems. Our results extend and improve some previous results. |
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| Keywords: | cone positive solution nonlinear integral boundary value problem fixed point theorem |
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