LIN Qiutong,GE Qi*.Existence of multiple positive solutions for a class of boundaryvalue problems of fractional q -differences with p -Laplacian[J].Journal of Yanbian University,2018,44(03):199-207.
一类带有 p -Laplacian算子的分数阶 q -差分边值问题的多重正解的存在性
- Title:
- Existence of multiple positive solutions for a class of boundary value problems of fractional q -differences with p -Laplacian
- Keywords:
- fractional q -differences; p -Laplacian operator; Avery-Peterson fixed point theorems; multiple positive solutions
- 分类号:
- O175.6
- 文献标志码:
- A
- 摘要:
- 研究了一类带有p -Laplacian算子和q -积分边值条件的分数阶q -差分方程多重正解的存在性.首先分析了格林函数的性质,然后利用Avery-Peterson不动点定理建立了该方程至少存在3个正解的充分条件.
- Abstract:
- This paper is concerned with the existence of positive solutions for integral boundary value problems of fractional q -differences equations with p -Laplacian operator. Firstly, some characteristics of the Green function are analyzed. Then, using Avery-Peterson fixed point theorems, sufficient conditions for the existence of three positive solutions for the problem are obtained.
参考文献/References:
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[6] Serkan Araci, Erdo(ˇoverg)an �瘙 塁 en, Mehmet Açikgöz, et al. Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p -Laplacian operator[J]. Advances in Difference Equations, 2015(2015):12.
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[10] Zhang Luchao, Zhang Weiguo, Liu Xiping, et al. Existence of positive solutions for integral boundary value problems of fractional differential equations with p -Laplacian[J]. Advances in Difference Equations, 2017,2017(36):1-19.
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备注/Memo
收稿日期: 2018-05-16 基金项目: 国家自然科学基金资助项目(11161049)
*通信作者: 葛琦(1975—),女,副教授,研究方向为常微分方程理论及其应用.