| 高阶非线性分数阶微分方程系统的多个正解 |
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| 引用本文： | 冯海星,翟成波.高阶非线性分数阶微分方程系统的多个正解[J].山东大学学报(理学版),2017,52(12):48-57. |
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| 作者姓名： | 冯海星 翟成波 |
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| 作者单位： | 1.山西财经大学应用数学学院, 山西 太原 030031;2.山西大学数学科学学院, 山西 太原 030006 |
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| 基金项目： | 国家自然科学基金青年科学基金资助项目(11201272);山西省自然科学基金资助项目(2015011005);2015山西省131人才项目;山西财经大学青年基金资助项目(2014026) |
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| 摘 要： | 研究了一类具有积分边值条件的高阶非线性分数阶微分方程系统多个正解的存在性,主要运用Leggett-Williams不动点定理及Krasnoselskii锥上的不动点相关定理得出了该系统存在两个或三个正解的结果。
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| 关 键 词： | 分数阶微分方程系统 Leggett-Williams不动点定理 积分边值条件 正解 |
| 收稿时间： | 2017-07-31 |
Multiple positive solutions of a system of high order nonlinear fractional differential equations |
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| FENG Hai-xing,ZHAI Cheng-bo.Multiple positive solutions of a system of high order nonlinear fractional differential equations[J].Journal of Shandong University,2017,52(12):48-57. |
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| Authors: | FENG Hai-xing ZHAI Cheng-bo |
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| Institution: | 1. College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030031, Shanxi, China;2. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China |
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| Abstract: | The existence of multiple positive solutions for a system of high-order nonlinear fractional differential equations is studied. Two or three positive solutions are obtained for the system by using Leggett-Williams fixed point theorem and Krasnoselskiion cone. |
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| Keywords: | integral boundary value conditions positive solution Leggett-Williams fixed point theorem the system of fractional order differential equation |
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