二阶非线性q-差分微分方程两点边值问题两个迭代正解的存在性  

Existence of Two Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Differential Equations by the Monotonic Iteration Method

作　　者：阳彩霞 阳平华 YANG Caixia;YANG Pinghua(School of Computer Engineering,Guangzhou City University of Technology,Guangzhou 510800,China)

机构地区：[1]广州城市理工学院计算机工程学院,广州510800

出　　处：《数学年刊（A辑）》2021年第4期393-400,共8页Chinese Annals of Mathematics

基　　金：广州市科技局基础与应用基础项目(No.202002030228)。

摘　　要：研究了二阶非线性q-差分微分方程两点边值问题,给出了系统两个正解存在的充分条件.与其他文献中使用的不动点定理不同,文章不仅证明了该系统正解的存在性,而且还利用单调迭代技巧给出了逼近正解的迭代格式.The nonlinear second-order q-difference differential equations with two-point boundary value problems are proposed in this paper.Sufficient conditions are given for the existence of two positive solutions of the system.Different from the fixed point theorem used in any other literatures,not only the existence of positive solutions for the system is obtained,but also iterative schemes are constructed for approximating the positive solutions by applying monotone iterative technique in this paper.

关 键 词：q-差分微分方程 两点边值问题 单调迭代技巧 

分 类 号：O175.7[理学—数学] O175.8[理学—基础数学]