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

Abstract

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. MSC: 34B37; 37J45