| 一类非线性四阶积分边值问题正解的存在性 |
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| 引用本文： | 王翔.一类非线性四阶积分边值问题正解的存在性[J].安庆师范学院学报(自然科学版),2014(3):17-21. |
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| 作者姓名： | 王翔 |
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| 作者单位： | 南京航空航天大学理学院,江苏南京211100 |
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| 基金项目： | 国家自然科学基金（11172125）和高等学校博士学科专项科研基金（20133218110025）资助. |
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| 摘 要： | 研究了一类四阶积分边值问题正解的存在性问题,利用锥上不动点定理,建立了该问题在超线性和次线性条件下存在一个及两个正解的充分条件。
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| 关 键 词： | 锥 积分边值问题 正解 不动点 |
Existence of Positive Solutions for a Class of Nonlinear Fourth-Order Integral Boundary Value Problems |
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| WANG Xiang.Existence of Positive Solutions for a Class of Nonlinear Fourth-Order Integral Boundary Value Problems[J].Journal of Anqing Teachers College(Natural Science Edition),2014(3):17-21. |
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| Authors: | WANG Xiang |
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| Institution: | WANG Xiang (College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211100, China) |
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| Abstract: | The existence of positive solutions for a class of nonlinear fourth-order integral boundary value problems is investigated in this paper. By using the fixed point theorem in cones, some sufficient conditions for the existence of one and two positive solutions are obtained for this class of problems under the superlinear and sublinear eases. |
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| Keywords: | cone integral boundary value problem positive solutions fixed point theorem |
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