| 一类非线性二阶边值问题在加权空间中的可解性 |
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| 引用本文： | 姚庆六. 一类非线性二阶边值问题在加权空间中的可解性[J]. 纺织高校基础科学学报, 2008, 21(2): 196-198 |
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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： | 研究了一类非线性二阶边值问题解的存在性．由于问题的解具有较强的奇异性，需要在适当的加权空间中求解．利用积分方程和Schauder不动点定理，通过考察非线性项在某些有界集合上的高度建立了一个新的存在定理．
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| 关 键 词： | 非线性常微分方程 边值问题 存在性 加权空间 |
Solvability of a class of nonlinear second-order boundary value problems in weighted spaces |
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| YAO Qing-liu. Solvability of a class of nonlinear second-order boundary value problems in weighted spaces[J]. Basic Sciences Journal of Textile Universities, 2008, 21(2): 196-198 |
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| Authors: | YAO Qing-liu |
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| Affiliation: | YAO Qing-liu (Department of Applied Mathematics, Nanjing University of Finance and Economies, Nanjing 210003, China) |
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| Abstract: | The existence of solution was studied for a class of nonlinear second-order boundary value problems.Because the solution has stronger singularity,a suitable weighted space is necessary in order to find the solution.By using the integral equation and the Schauder fixed point theorem,through considering the height of nonlinear term on some bounded set,a new existence theorem is established. |
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| Keywords: | nonlinear ordinary differential equation boundary value problem existence weighted space |
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