一个带有脉冲效应的二阶偏微分方程周期边值问题多解的存在性(英文)  

Multiple Solutions for a Second Order Impulsive Partial Differential Equation with Periodic Boundary Value Problems

作　　者：张克玉[1,2] 王建国[1] 

机构地区：[1]齐鲁师范学院数学系,山东济南250013 [2]山东大学数学学院,山东济南250100

出　　处：《应用数学》2013年第4期894-899,共6页Mathematica Applicata

基　　金：Supported by the Project of Shandong Province Higher Educational Science and Technology Program (J09LA55)

摘　　要：本文,利用临界点理论和Lax-Milgram定理,我们得到一个带有脉冲效应的二阶偏微分方程周期边值问题多解的存在性定理.In this paper, by virtue of critical point theory and Lax-Milgram theorem, a new result for the existence of multiple solutions of a second order impulsive partial differential equations with periodic boundary value problems.

关 键 词：边值问题 脉冲偏微分方程 临界点理论 Lax-Milgram定理 

分 类 号：O175.8[理学—数学]