We present a survey on the existence of nontrivial solutions to impulsive differential equations by using variational methods, including solutions to boundary value problems, periodic solutions, and homoclinic solutions.
Fang-fang Liao. Juntao Sun. "Variational Approach to Impulsive Problems: A Survey of Recent Results." Abstr. Appl. Anal. 2014 (SI17) 1 - 11, 2014. https://doi.org/10.1155/2014/382970