带有p-拉普拉斯算子的非线性q-差分方程的正解问题  

Positive Solutions of Nonlinear q-Difference Equation with p-Laplacian Operators

作　　者：董华营 李秋萍 吴顺军 刘婕[1] DONG Huaying;LI Qiuping;WU Shunjun;LIU Jie(School of Mathematical Sciences,Dezhou University,Dezhou Sha ndong 253023,China)

机构地区：[1]德州学院数学与大数据学院,山东德州253023

出　　处：《德州学院学报》2023年第6期1-5,14,共6页Journal of Dezhou University

摘　　要：本文主要证明了带p-拉普拉斯算子的非线性q-差分方程■的四点边值问题解的存在性,并给出两种不同的解的结果,同时,利用不等式的放缩法来研究该方程的正解问题。The nonlinear q−difference equation with p−Laplace operato:■ four-point boundary value problem were studied,the results of two different solutions are given.In the meantime,the positive solutions of the equation were studied by inequality reduction.

关 键 词：p-拉普拉斯算子 非线性q-差分方程 CAPUTO导数 解的存在性和正解问题 

分 类 号：O241.84[理学—计算数学]