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

作者：Liang, Ruixi; Zhang, Wei^*

来源：Advances in Difference Equations, 2016, 2016(1): 147.

DOI：10.1186/s13662-016-0880-9

• impulsive differential equations
• critical point theory
• non-separated periodic boundary conditions

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.

• 出版日期2016-6-3
• 单位中南大学