| 一类反周期分数阶q-差分边值问题解的存在性 |
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| 引用本文： | 孙明哲,侯成敏. 一类反周期分数阶q-差分边值问题解的存在性[J]. 吉林大学学报(理学版), 2014, 52(6): 1215-1218 |
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| 作者姓名： | 孙明哲 侯成敏 |
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| 作者单位： | 延边大学 理学院数学系, 吉林 延吉 133002 |
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| 基金项目： | 国家自然科学基金，吉林省教育厅“十二五”科学技术研究项目 |
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| 摘 要： | 利用基本的不动点定理研究一类带有反周期非线性分数阶q-差分方程边值问题,得到了边值问题解的存在与唯一的充分条件,并通过具体方程验证了所得结论.
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| 关 键 词： | 分数阶q-差分 边值问题 不动点定理 |
| 收稿时间： | 2014-01-23 |
Existence of Solutions for a Class of Anti-periodic Boundary Value Problems with Fractional q-Difference Equations |
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| SUN Mingzhe,HOU Chengmin. Existence of Solutions for a Class of Anti-periodic Boundary Value Problems with Fractional q-Difference Equations[J]. Journal of Jilin University: Sci Ed, 2014, 52(6): 1215-1218 |
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| Authors: | SUN Mingzhe HOU Chengmin |
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| Affiliation: | Department of Mathematics, College of Science, Yanbian University, Yanji 133002, Jilin Province, China |
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| Abstract: | We studied a class of the fractional q-differences boundary value problem with the fractional q-differences boundary conditions with the aid of some standard fixed point theorems, obtaining sufficient conditions for the existence and uniqueness results of solutions. As the application, some equations were presented to illustrate the main results. |
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| Keywords: | fractional q-difference boundary value problem fixed point theorem |
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