| 分数阶微分方程边值问题正解的存在性 |
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| 引用本文： | 王林,仲秋艳.分数阶微分方程边值问题正解的存在性[J].聊城大学学报(自然科学版),2012(1):18-20,41. |
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| 作者姓名： | 王林 仲秋艳 |
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| 作者单位： | 聊城大学数学科学学院 |
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| 基金项目： | 山东省优秀中青年科学家奖励基金(BS2010SF004);山东省高等学校科技发展计划资助项目(J10LA53) |
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| 摘 要： | 利用不动点指数理论,在相应线性算子的第一特征值的条件下,对下面的分数阶微分方程建立了正解的存在性定理Dα0+u(t)+f(t,u(t))=0,0
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| 关 键 词： | 分数阶微分方程 分数阶边值问题 第一特征值 正解 不动点指数 |
Existence of Positive Solutions of the Boundary Value Problem for Nonlinear Fractional Differential Equations |
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| WANG Lin ZHONG Qiu-yan.Existence of Positive Solutions of the Boundary Value Problem for Nonlinear Fractional Differential Equations[J].Journal of Liaocheng University:Natural Science Edition,2012(1):18-20,41. |
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| Authors: | WANG Lin ZHONG Qiu-yan |
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| Institution: | WANG Lin ZHONG Qiu-yan(School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | In this paper,we are concerned with the existence of positive solutions for the following nonlinear fractional boundary value problem Dα0+u(t)+f(t,u(t))=0,0
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| Keywords: | fractional differential equations fractional boundary value problem the first eigenvalue positive solution fixed point index |
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