ANTI-PERIODIC SOLUTION FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA SADDLE POINT THEOREM

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 [ 23 ].