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带有p-拉普拉斯算子的非线性q-差分方程的正解问题 被引量:1

Positive Solutions of Nonlinear q-Difference Equation with p-Laplacian Operators
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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.
作者 董华营 李秋萍 吴顺军 刘婕 DONG Huaying;LI Qiuping;WU Shunjun;LIU Jie(School of Mathematical Sciences,Dezhou University,Dezhou Sha ndong 253023,China)
出处 《德州学院学报》 2023年第6期1-5,14,共6页 Journal of Dezhou University
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 p−Laplace operator the nonlinear q−difference equation Caputo derivative the existence and positive solutions of the equation
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