| 非线性奇异边值问题 |
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| 引用本文： | 程建纲.非线性奇异边值问题[J].应用数学学报,2000,23(1):122-129. |
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| 作者姓名： | 程建纲 |
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| 作者单位： | 烟台大学数学系!烟台264005 |
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| 摘 要： | 对一类奇异两点边值问题，在很一般的条件下，证明了振动问题的可解性与一类全连续映象不动点的存在性是等价的，并且给出了振动问题的可解性与原问题的可解性之间的关系。
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| 关 键 词： | 正解 奇异边值问题 非线性 两点边值问题 |
NONLINEAR SINGULAR BOUNDARV VALUE PROBLEMS |
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| CHENG JIANGANG.NONLINEAR SINGULAR BOUNDARV VALUE PROBLEMS[J].Acta Mathematicae Applicatae Sinica,2000,23(1):122-129. |
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| Authors: | CHENG JIANGANG |
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| Abstract: | This paper deals with the existence of positive solutions for a class singular two point boundary value problems. It is shown that existence criteria can be established by using fixed point theory of completely continuous operators for the perturbed problems. The relations between the perturbed problems and the original problems have been given. The theorems obtained are very general. |
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| Keywords: | Singular equation boundary problem positive solution |
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