Opuscula Math. 37, no. 3 (2017), 353-379
Existence of three solutions for impulsive multi-point boundary value problems
Abstract. This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results.
Keywords: multi-point boundary value problem, impulsive condition, classical solution, variational method, three critical points theorem.
Mathematics Subject Classification: 34B10, 34B15, 34A37.