YAN Yawen,HOU Chengmin*,SUN Mingzhe.Existence of positive solution for boundary value problems ofordered fractional q -differences equations on infinite intervals[J].Journal of Yanbian University,2019,45(03):189-193.
无穷区间上有序分数阶q -差分方程边值问题正解的存在性
- Title:
- Existence of positive solution for boundary value problems of ordered fractional q -differences equations on infinite intervals
- 文章编号:
- 1004-4353(2019)03-0189-05
- 分类号:
- O175.6
- 文献标志码:
- A
- 摘要:
- 研究一类定义在无穷区间上的有序分数阶q-差分方程边值问题.首先,求出该边值问题解的表达式,并分析其中格林函数的性质; 其次,利用锥理论和单调迭代的方法得到了边值问题解的存在性.最后,举例证明了论文所得结果的有效性.
- Abstract:
- In this paper, we study a class of ordered fractional q-difference equations defined on infinite intervals. Firstly, the expression of the solution of the boundary value problem is obtained, and the properties of the Green's function are analyzed. Secondly, the monotone iterative method is used to obtain the existence of the solution to the boundary value problem. Finally, an example is given to illustrate the validity of the result.
参考文献/References:
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备注/Memo
收稿日期: 2019-08-10
基金项目: 吉林省教育厅“十三五”科学技术项目(JJKH20170454KJ)
*通信作者: 侯成敏(1963—),女,教授,研究方向为微分方程理论及其应用.