| 一类广义非线性边值系统的可解性 |
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| 引用本文： | 王伟,刘永清.一类广义非线性边值系统的可解性[J].华南理工大学学报(自然科学版),1997(3):72-76. |
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| 作者姓名： | 王伟 刘永清 |
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| 作者单位： | 华南理工大学自动控制工程系 |
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| 摘 要： | 基于广义系统的等价分解形式，利用由正常边值系统的Green函数及压缩映射原理所得的结果，研究了一类广义非线性边值系统，给出了此系统的相容边界条件的集合表示，以及在相容的边界条件下，广义非线性边值系统的可解性，最后给出了一个例子加以说明。
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| 关 键 词： | 广义边值系统 相容的边界条件 可解性 正常边值系统 Green函数 |
SOLVABILITY OF A CLASS OF NONLINEAR BOUNDARYVALUE SINGULAR SYSTEMS |
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| Wang Wei,Liu Yongqing.SOLVABILITY OF A CLASS OF NONLINEAR BOUNDARYVALUE SINGULAR SYSTEMS[J].Journal of South China University of Technology(Natural Science Edition),1997(3):72-76. |
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| Authors: | Wang Wei Liu Yongqing |
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| Abstract: | This paper discusses a class of nonlinear boundary-value singular systems by using equivalent decomposition form of singular systems, and the results of Green's function in boundary value normal systems and contraction mapping theory. And expression for the set of consistent boundary conditions is given. An solvabilicy is proved under the assumption of consistent boundary conditions . Finally, an example is included to illustrate the results. |
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| Keywords: | boundary-value singular system : consistent boundary condition : solvability bound- ary value norrnal systems Green's function |
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