非线性边界条件下p-Laplacian脉冲边值问题的无界解序列  

Series of Unbounded Solutions for p-Laplacian Impulsive Boundary Value Problems with Nonlinear Boundary Conditions

作　　者：魏颖[1] 王立波[2] WEI Ying;WANG Libo(College of Computer Science and Technology,Beihua University,Jilin 132021,China;School of Mathematics and Statistics,Beihua University,Jilin 132013,China)

机构地区：[1]北华大学计算机科学技术学院,吉林吉林132021 [2]北华大学数学与统计学院,吉林吉林132013

出　　处：《北华大学学报（自然科学版）》2020年第5期561-567,共7页Journal of Beihua University（Natural Science）

基　　金：吉林省教育厅科学技术研究项目(JJKH20200029KJ,JJKH20190647KJ).

摘　　要：研究一类具p-Laplace算子的脉冲边值问题,在非线性边界条件及非线性脉冲效应下,综合运用变分法及上下解方法,利用方程、边界条件及脉冲效应的非线性项的扰动,获得了上述p-Laplacian脉冲边值问题的两个无界解序列的存在性结果.A class of p-Laplacian impulsive boundary value problems is studied.Under the nonlinear boundary conditions and nonlinear impulsive effect,the variational method with lower and upper solutions method is applied,using some perturbations of the nonlinear terms of the equation,the boundary conditions and impules,the existence of two series of unbounded solutions to the above boundary value problems are obtained.

关 键 词：变分法 上下解方法 P-LAPLACE算子 无界解序列 

分 类 号：O175.8[理学—数学]