The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained. The main ideas involve variational methods and three critical points theory.
Yu Tian. Dongpo Sun. "The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods." Abstr. Appl. Anal. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/690381