Multiplicity Results for Second Order Impulsive Differential Equations via Variational Methods

In this paper we investigate a class of impulsive differential equations with Dirichlet boundary conditions. Firstly, define new inner product and prove that the norm which is deduced by equivalent to usual norm. Secondly, construct lower upper solutions (1.1). Thirdly, obtain existence positive solution, negative solution sign-changing using critical point theory variational methods. Finally, an example presented illustrate application our main result.