具有脉冲效应的分数阶p-Laplacian方程耦合系统的可解性  

SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL p-LAPLACIAN EQUATION WITH IMPULSIVE EFFECTS

作　　者：薛婷婷[1] 徐燕 XUE Ting-ting;XU Yan(School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830000,China)

机构地区：[1]新疆工程学院数理学院,新疆乌鲁木齐830000

出　　处：《数学杂志》2024年第2期126-140,共15页Journal of Mathematics

基　　金：Natural Science Foundation of Xinjiang Uygur Autonomous Region(2021D01B35);Natural Science Foundation of colleges and universities in Xinjiang Uygur Autonomous Region(XJEDU2021Y048)。

摘　　要：本文研究了一类具有脉冲效应的分数阶p-Laplacian方程耦合系统的问题.利用变分方法,获得了该系统解存在的一些新结果.在证明过程中,弱化了系统中变系数和非线性项的条件,推广了已有结果.This article investigates the problem of a coupled system of fractional order pLaplacian equations with impulsive effects.Some new results for the existence of solutions of this system are obtained by using variational method.In the process of proof,the conditions of variable coefficient and nonlinear term in the system are weakened,and the existing results are extended.

关 键 词：分数阶微分方程 P-LAPLACIAN算子 脉冲 弱解 

分 类 号：O175.8[理学—数学]