| 高分数阶微分方程边值问题的正解 |
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| 引用本文： | 程伟伟,吕海深. 高分数阶微分方程边值问题的正解[J]. 徐州师范大学学报(自然科学版), 2012, 0(1): 24-28 |
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| 作者姓名： | 程伟伟 吕海深 |
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| 作者单位： | 河海大学理学院数学系;河海大学水文水资源和水利工程重点实验室 |
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| 基金项目： | 河海大学科研基金资助项目(E05115-1014) |
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| 摘 要： | 研究一类高分数阶微分方程边值问题的正解.通过一些锥上的不动点定理和等效的第二类Fredholm积分方程来研究这个方程正解的存在性和多重性,进而得到两个关于此类方程正解的定理.
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| 关 键 词： | 高分数阶微分方程 正解 边值问题 格林函数 不动点定理 |
Positive solutions for boundary value problem of high fractional differential equation |
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| Affiliation: | Cheng Weiwei1,Lü Haishen2(1.Department of Mathematics,College of Sciences,Hohai University,Nanjing 211100,Jiangsu,China; 2.State Key Lab of Hydrology-Water Resources & Hydraulic Engineering,Hohai University,Nanjing 210098,Jiangsu,China) |
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| Abstract: | The existence of positive solutions of boundary value problems for fractional differential equation is studied.By using some fixed point theorems on cone and the equivalent Fredholm integral equation of second kind,the existence and multiplicity of its positive solutions are researched,and two theorems about this high fractional differential equation’s positive solutions are obtained. |
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| Keywords: | high fractional differential equation positive solution boundary value problem Green function fixed point theorem |
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