Applications of variational methods to the impulsive equation with non-separated periodic boundary conditions

被引：2
作者：
Liang, Ruixi [1 ]
Zhang, Wei [1 ]
机构：
[1] Cent S Univ, Dept Math & Stat, Changsha 410073, Hunan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
impulsive differential equations; critical point theory; non-separated periodic boundary conditions; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; PULSE VACCINATION; EPIDEMIC MODEL; EXISTENCE; MULTIPLICITY;
D O I：
10.1186/s13662-016-0880-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of classical solutions for a second-order impulsive differential equation with non-separated periodic boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution under some different conditions. Our results extend and improve some recent results.
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页数：13
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