一类含瞬时和非瞬时脉冲的三点边值问题解的存在性和多重性  

Existence and Multiplicity of Solutions for a Three-Point Boundary Value Problem with Instantaneous and Non-instantaneous Impulses

作　　者：张慧萍[1] 姚旺进 ZHANG Huiping;YAO Wangjin(School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350007,China;Fujian Key Laboratory of Financial Information Processing,Putian University,Putian 351100,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350007 [2]莆田学院福建省金融信息处理重点实验室,福建莆田351100

出　　处：《应用数学》2024年第3期728-738,共11页Mathematica Applicata

基　　金：福建省自然科学基金(2023J01994,2023J01995,2021J05237);福建省高校创新团队培育计划(2018-39)。

摘　　要：本文研究一类含有瞬时和非瞬时脉冲的二阶p-Laplacian微分方程的三点边值问题.利用变分方法和三临界点定理获得至少一个古典解和至少三个古典解的存在性.In this paper,a three-point boundary value problem for second-order p-Laplacian differential equations with instantaneous and non-instantaneous impulses is studied.The existence of at least one classical solution and at least three distinct classical solutions is obtained based on variational methods and three critical points theorems.

关 键 词：三点边值问题 变分方法 三临界点定理 

分 类 号：O175.8[理学—数学]