| 一类半线性四阶两点边值问题的n个正解的存在性 |
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| 引用本文： | 姚庆六. 一类半线性四阶两点边值问题的n个正解的存在性[J]. 湘潭大学自然科学学报, 2005, 27(3): 1-4 |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,南京,210003 |
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| 基金项目： | 国家自然科学基金资助项目(70471071) |
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| 摘 要： | 利用锥上的度数理论考察了半线性四阶两点边边值问题的正解.该文的结论表明这个问题可以具有n个正解,只要非线性项f在某些有界集上的高度和增张是适当的,其中n是一个任意的自然数.
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| 关 键 词： | 四阶常微分方程 两点边值问题 正解 存在性 多解性 |
| 文章编号： | 1000-5900（2005）03-0001-04 |
| 收稿时间： | 2004-10-12 |
| 修稿时间： | 2004-10-12 |
Existence of nPositive Solutions to a Class of Semilinear Fourth-Order Two-Point Boundary Value Problems |
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| YAO Qing-liu. Existence of nPositive Solutions to a Class of Semilinear Fourth-Order Two-Point Boundary Value Problems[J]. Natural Science Journal of Xiangtan University, 2005, 27(3): 1-4 |
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| Authors: | YAO Qing-liu |
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| Affiliation: | Department of Applied Mathematics, Nanjing Uanjing University of Finance and Economics,Nanjing 210003 China |
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| Abstract: | Using the degree theory on cone, we discuss the positive solutions for the nonlinear fourth - order two -point boundary value problem Our results show that the problem may have n positive solutions provided the heights and growths of nonlinear term f are appropriate on some bounded sets, where n be an arbitrary natural number. |
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| Keywords: | fourth-order ordinary differential equation two - point boundary value problem positive solution existence multiplicity |
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