| Banach空间分数阶微分方程的多个正解 |
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| 引用本文： | 张兴秋.Banach空间分数阶微分方程的多个正解[J].数学研究及应用,2013,33(4):429-442. |
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| 作者姓名： | 张兴秋 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252059 |
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| 基金项目： | 山东省优秀中青年科学家科研奖励基金（Grant No.BS2010SF004),国家自然科学基金（Grant No.0971179),山东省高等学校科技计划（Grant Nos.J10LA53; J11LA02),聊城大学自然科学基金（Grant No.X09008). |
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| 摘 要： | 利用全连续算子的不动点指数理论获得了Banach空间中分数阶微分方程多个正解的存在性.
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| 关 键 词： | 分数阶微分方程 多个正解 锥 不动点指数 非紧性测度 Banach空间. |
| 收稿时间： | 5/9/2012 12:00:00 AM |
| 修稿时间： | 2012/11/22 0:00:00 |
Multiplicity of Positive Solutions for Fractional Differential Equations in Banach Spaces |
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| Xingqiu ZHANG.Multiplicity of Positive Solutions for Fractional Differential Equations in Banach Spaces[J].Journal of Mathematical Research with Applications,2013,33(4):429-442. |
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| Authors: | Xingqiu ZHANG |
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| Institution: | School of Mathematics, Liaocheng University, Shandong 252059, P. R. China |
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| Abstract: | In this paper, existence of multiple positive solutions for fractional differential equations in Banach spaces is obtained by utilizing the fixed point index theory of completely continuous operators. |
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| Keywords: | fractional differential equations multiple positive solutions cone fixed point index measure of non-compactness Banach space |
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