In this paper, we investigate the solutions of fourth-order discrete boundary value problem. By using critical point theory the existence of positive solutions and infinitely many solutions are obtained.

This paper is concerned with the existence of solutions to a boundary value problem of a fourth-order impulsive differential equation with a control parameter λ. By employing some existing critical point theorems, we find the range of the control parameter in which the boundary value problem admits at least one solution. It is also shown that under certain conditions there exists an interval of...