| 一类次线性分数微分方程的正解存在性 |
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| 引用本文： | 姚庆六.一类次线性分数微分方程的正解存在性[J].应用数学学报,2005,28(3):429-434. |
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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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| 摘 要： | 证明了一类非线性项受幂函数控制的次线性分数微分方程的正解存在性.主要方法是锥拉伸与锥压缩型的Krasnosel’skii不动点定理的局部应用.我们的结论表明该方程可以具有一个正解,只要非线性项在某个有界集上的“高度”是适当的.
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| 关 键 词： | 分数微分方程 正解 存在性 不动点定理 |
| 收稿时间： | 2003-4-22 |
| 修稿时间： | 2003-4-22 |
EXISTENCE OF POSITIVE SOLUTION TO A CLASS OF SUBLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS |
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| Yao Qingliu.EXISTENCE OF POSITIVE SOLUTION TO A CLASS OF SUBLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2005,28(3):429-434. |
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| Authors: | Yao Qingliu |
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| Abstract: | The existence of positive solution is proved for a class of sublinear fractional differential equations where the nonlinear terms subject to the power functions. The main method is a local application of Krasnosel'skii fixed point theorem of cone expansion-compression type. Our results show that the equation may have a positive solution provided the " height" of nonlinear term on a bounded set is appropriate. |
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| Keywords: | fractional differential equation positive solution existence fixed point theorem |
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