| 半正的分数阶微分方程(n-1,1)-型积分边值问题的多个正解 |
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| 引用本文： | 李明哲,范鹰,苑成军.半正的分数阶微分方程(n-1,1)-型积分边值问题的多个正解[J].数学的实践与认识,2012,42(6):212-222. |
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| 作者姓名： | 李明哲 范鹰 苑成军 |
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| 作者单位： | 哈尔滨学院理学院,黑龙江哈尔滨,150086 |
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| 基金项目： | 黑龙江省自然科学基金，黑龙江省新世纪高等教育教学改革工程项目(2010) |
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| 摘 要： | 采用Riemann-Liouville分数阶导数,研究了半正的分数阶微分方程(n-1,1)-型积分边值问题,获得了参数λ的一个区间,使得λ落在这个区间的时候,该半正的分数阶微分方程边值问题有多个正解.
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| 关 键 词： | Riemann-Liouville分数阶导数 分数阶微分方程 (n-1 1)-型积分边值问题 正解 Green函数 |
Multiple Positive Solutions for Semipositone (n- 1, 1)-Type Integral Boundary Value Problems of Nonlinear Fractional Differential Equations |
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| LI Ming-zhe
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FAN Ying
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YUAN Cheng-jun.Multiple Positive Solutions for Semipositone (n- 1, 1)-Type Integral Boundary Value Problems of Nonlinear Fractional Differential Equations[J].Mathematics in Practice and Theory,2012,42(6):212-222. |
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| Authors: | LI Ming-zhe FAN Ying YUAN Cheng-jun |
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| Institution: | (School of Science,Harbin University,Harbin 150086,China) |
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| Abstract: | In this paper,we consider the（n-1,1）-type integral boundary value problem of nonlinear fractional differential equation D0+α+u（t）+λf（t,u（t））=0,0（j）>（0）=0≤j≤n-2 （） whereλ,μis a parameter and 0<μ0+αis the Riemann-Liouville’s fractional derivative,and / is continuous and semipositone.We derive an interval of A such that any A lying in this interval,the semipositone boundary value problem has multiple positive solutions. |
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| Keywords: | Riemann-Liouville’s fractional derivative fractional differential equation (n-1 1)-type integral boundary value problem positive solution Green’s function |
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