Variational method to the second-order impulsive partial differential equations (II)

摘要

In the paper, we consider the existence of the solution of the second-order impulsive differential equations with constant coefficients. We change the second-order impulsive partial differential equation to the equivalent equation by transformation. By using the critical point theory of variational method and Lax- Milgram theorem, we obtain the new results for the existence of the solution of the impulsive partial differential equations with periodic boundary value problems.