摘要：This paper is concerned with the existence of solutions of a second-order impulsive differential equation with mixed boundary condition. We obtain sufficient conditions for the existence of a unique solution, at least one solution, at least two solutions and infinitely many solutions, respectively, by using critical point theorems. The main results are also demonstrated with examples. MSC:34B15, 34B18, 34B37, 58E30.
关键词：impulsive differential equation ; critical point theory ; existence of solutions
