非齐次Neumann边界条件下具有p-Laplacian算子的脉冲方程解的存在数量  

Existence number of solutions for impulsive equations involving p-Laplacian operator with nonhomogeneous Neumann boundary conditions

作　　者：杨国萍 刘健[1] Guoping YANG;Jian LIU(School of Statistics and Mathematics,Shandong University of Finance and Economics,Jinan 250014,Shandong,China)

机构地区：[1]山东财经大学统计与数学学院,山东济南250014

出　　处：《山东大学学报（理学版）》2024年第8期42-47,共6页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(ZR2021MA070)。

摘　　要：在非齐次Neumann边界条件下研究一类具有p-Laplacian算子的脉冲微分方程非平凡解的存在性的充分条件,在非线性项满足L1-Carathéodory条件下利用变分方法结合相应的临界点理论得到非平凡解的存在数量的2个定理,给出具体的例子,结合牛顿迭代法来阐明本文所得到的结论。The sufficient condition of the existence of nontrivial solutions for some p-Laplacian impulsive differential equations with nonhomogeneous Neumann boundary conditions is obtained.We get two theorems on the numbers of nontrivial solutions via variational methods and corresponding critical points theory when nonlinear terms satisfying the L1-Carathéodory condition and applying the Newton-iterative method into concrete examples to illustrate the obtained conclusions.

关 键 词：P-LAPLACIAN算子 非齐次边界条件 脉冲项 

分 类 号：O175.2[理学—数学]