[1]孙明哲,侯成敏.一类分数阶q-差分系统边值问题解的存在性[J].延边大学学报(自然科学版),2015,41(01):10-16.
　SUN Mingzhe,HOU Chengmin.Existence of solutions for boundary value problems with a coupled system of fractional q -differences[J].Journal of Yanbian University,2015,41(01):10-16.
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一类分数阶q-差分系统边值问题解的存在性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第41卷 期数: 2015年01期 页码: 10-16 栏目: 基础科学研究 出版日期: 2015-03-20
Title:
Existence of solutions for boundary value problems with a coupled system of fractional q -differences
作者:
孙明哲; 侯成敏
延边大学理学院 数学系, 吉林 延吉 133002
Author(s):
SUN Mingzhe;  HOU Chengmin
Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China
关键词:
分数阶q-差分;  边值问题;  正解
Keywords:
fractional q-differences;  boundary value problem;  positive solution
分类号:
O175.6
文献标志码:
A
摘要:
研究了一类带有分数阶边值条件的分数阶q-差分系统正解的存在性.首先,给出了该问题解的表达式,并分析了格林函数的性质,然后运用基本的不动点定理证明了该问题正解的存在性和唯一性.最后,用具体例子验证了文中主要结论的正确性.
Abstract:
We study the existence of positive solutions for a fractional q-difference system with a fractional boundary condition. Firstly, expressions of the solutions are presented, andproperties of the Green function are analyzed. Secondly, the existence and uniqueness of the positive solutions of the problem are proved by basic fixed point theorem. Finally, the main conclusions are verified by some specific examples.

参考文献/References:

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备注/Memo

收稿日期: 2014-12-15 基金项目: 吉林省教育厅“十二五”科学技术研究项目(吉教科合字[2014]第20号)作者简介: 孙明哲(1979—),女,讲师,研究方向为微分方程理论.

更新日期/Last Update: 2015-03-20