| 奇异Neumann边值问题的多重正解 |
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| 引用本文： | 姚庆六.奇异Neumann边值问题的多重正解[J].中国科学技术大学学报,2006,36(10):1082-1088. |
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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,江苏南京,210003 |
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| 摘 要： | 通过引入与非线性项有关的高度函数,考察了非线性项为局部Caratheodory函数的奇异二阶Neumann边值问题的正解.主要结论表明,只要高度函数在某些有界集合上的积分是适当的,该问题能够具有n个正解,其中n是一个任意的正整数.
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| 关 键 词： | 奇异微分方程 Neumann边值问题 正解 存在性 多解性 |
| 文章编号： | 0253-2778(2006)10-1082-07 |
| 收稿时间： | 10 20 2005 12:00AM |
| 修稿时间： | 06 28 2006 12:00AM |
Multiple positive solutions to a singular Neumann boundary value problem |
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| YAO Qing-liu.Multiple positive solutions to a singular Neumann boundary value problem[J].Journal of University of Science and Technology of China,2006,36(10):1082-1088. |
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| Authors: | YAO Qing-liu |
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| Abstract: | By introducing the nonlinear-term-relevant height functions, the positive solutions were considered for the singular second-order Neumann boundary value problem where nonlinear term is a local Caratheódory function. The main results show that the problem can have n positive solutions provided that the integrals of height functions on some bounded sets are appropriate, where n is an arbitrary positive integral number. |
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| Keywords: | singular differential equation Neumann boundary value problem positive solution existence multiplicity |
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