| 分数阶微分方程耦合系统边值问题正解的存在性 |
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| 引用本文： | 申腾飞.分数阶微分方程耦合系统边值问题正解的存在性[J].黑龙江科技学院学报,2012(1):98-101,106. |
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| 作者姓名： | 申腾飞 |
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| 作者单位： | 中国矿业大学理学院 |
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| 摘 要： | 首先利用Leray-Schauder非线性抉择和锥拉伸与压缩不动点定理等,讨论了一类非线性的Riemann-Liouville分数阶微分方程耦合系统边值问题,得出边值问题的正解存在的充分条件。其次,结合积分方程与微分方程解的等价性及范数性质给出正解不存在的几个充分条件。
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| 关 键 词： | 分数阶微分方程 边值问题 不动点定理 正解 |
Existence of positive solutions for boundary value problem of coupled system of fractional differential equations |
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| SHEN Tengfei.Existence of positive solutions for boundary value problem of coupled system of fractional differential equations[J].Journal of Heilongjiang Institute of Science and Technology,2012(1):98-101,106. |
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| Authors: | SHEN Tengfei |
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| Institution: | SHEN Tengfei (College of Sciences,China Univeisity Mining & Technology,Xuzhou 221116,China) |
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| Abstract: | This paper introduces an investigation into the existence and nonexistence of positive solutions for boundary value problem of a coupled system of nonlinear fractional differential equations and features some results of existence and nonexistence positive solutions for boundary value problem obtained by using the fixed point theorem. |
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| Keywords: | fractional differential equation boundary value problem fixed point theorem positive solutions |
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