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 Anti-Periodic solution for fourth-order impulsive differential equation via Saddle point theorem Suiming Shang,Yu Tian,Zhanbing Bai,Min Zhang Keywords:Impulsive differential equation; Riesz-Frechet theorem; Saddle point theorem Abstract: In this paper, the boundary value problem of fourth-order impulsive differential equation is studied. The solution space is decomposed by Riesz-Frechet theorem and eigenvalue theory. The existence of anti-periodic solution is obtained by Saddle point theorem. Furthermore, the results in this paper generalize the existing results in [1] and [2].