Multiple solutions for a class of perturbed second-order differential equations with impulses

Ferrara, Massimiliano; Heidarkhani, S; Caristi, G; Salari, A

doi:10.1186/s13661-016-0581-z

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
Autori:	FERRARA, Massimiliano [Supervision] Heidarkhani S [Methodology] (Corresponding) Caristi G [Writing – Review & Editing] Salari A [Writing – Original Draft Preparation] mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2016
Rivista:	BOUNDARY VALUE PROBLEMS
Handle:	http://hdl.handle.net/20.500.12318/5936
Appare nelle tipologie:	1.1 Articolo in rivista

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http://hdl.handle.net/20.500.12318/5936

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