VARIATIONAL METHODS TO THE FOURTH-ORDER LINEAR AND NONLINEAR DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES

被引：8
|
作者：
Wang, Shihan [1 ]
Tian, Yu [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 06期
关键词：
Variational methods; non-instantaneous impulses; fourth-order; linear and nonlinear differential equations; BOUNDARY-VALUE PROBLEM; EXISTENCE;
D O I：
10.11948/20190413
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence of solutions for the fourth-order linear and nonlinear differential equations with non-instantaneous impulses is studied by applying variational methods. The interesting point lies in that the variational structures corresponding to the fourth-order linear and nonlinear differential equations with non-instantaneous impulses are established for the first time.
引用
收藏
页码：2521 / 2536
页数：16
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