The present paper is an attempt to investigate the existence of weak solutions for perturbed impulsive problems containing a Lipschitz nonlinear term. The study bases itself on the most recent variational approaches to the smooth functionals which are defined on reflexive Banach spaces. The findings of the study, finally, revealed that, under appropriate conditions, such problems possess at least three weak solutions. According to the results, these solutions are generated by impulses when the Lipschitz nonlinear term is zero.
|Titolo:||Multiple solutions for a class of perturbed second-order differential equations with impulses|
FERRARA, Massimiliano [Supervision]
|Data di pubblicazione:||2016|
|Appare nelle tipologie:||1.1 Articolo in rivista|