SUN Mingzhe,HOU Chengmin.Existence of positive solutions of q -differences equations with parameter[J].Journal of Yanbian University,2015,41(02):124-128.
一类带有参数的q -差分方程边值问题正解的存在性
- Title:
- Existence of positive solutions of q -differences equations with parameter
- 分类号:
- O175.8
- 文献标志码:
- A
- 摘要:
- 研究了一类带有参数的q-差分方程正解的存在性.首先给出了该问题解的表达式,并分析了格林函数的性质,然后利用Banach空间锥上的不动点指数定理得到了当参数λ属于不同范围时正解存在性的充分条件,最后用具体实例验证了文中的结论.
- Abstract:
- We study the existence of positive solutions for the q -differences equation with parameter. Firstly, the expression of solutions is presented, and some characteristics of the Green function were analyzed. Secondly, by applying fixed point index theorem of Banach spaces cone, we obtained sufficient conditions for the existence of the positive solutions when parameters belong to different ranges. Finally, the main results were illustrated with some examples.
参考文献/References:
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备注/Memo
收稿日期: 2015-02-20 作者简介: 孙明哲(1979—),女,讲师,研究方向为微分方程理论及其应用.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); 国家自然科学基金资助项目(11161049)