一类p-Laplacian算子分数阶q-差分系统边值问题正解的存在性  

Existence of Positive Solution for Fractional q-difference Equations with p-Laplacian Operator

作　　者：周蜜 李成福[1] ZHOU Mi;LI Cheng-fu(School of Mathematics and Computational Science Xiangtan University,Xiangtan 411105,China)

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105

出　　处：《滨州学院学报》2018年第2期44-50,共7页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(11671339)

摘　　要：研究了含有p-Laplacian算子分数阶q-差分方程边值问题,通过把分数阶q-差分系统边值问题转换成与其等价的积分方程,求出系统边值问题的Green函数,并分析其性质,利用单调迭代的方法获得了边值问题解的存在性结果。最后,用一个例子阐述主要结果。This paper studies the p-Laplacian operator fraction q-difference system boundary value problem.The fractional q-difference boundary value problem is converted into equivalent integral equation to calculate the system boundary value problem of the Green function and analyses the nature of the Green function.By using the monotone iterative method,we obtain the existence result of the fractional q-difference system boundary value problem.Finally,one example is given to illustrative our main result.

关 键 词：P-LAPLACIAN算子 q-差分方程 边值问题 GREEN函数 单调迭代法 

分 类 号：O175.8[理学—数学]