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.

Multiple solutions for a class of perturbed second-order differential equations with impulses / Ferrara, Massimiliano; Heidarkhani, S; Caristi, G; Salari, A. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2770. - 74:(2016), pp. 1-16. [10.1186/s13661-016-0581-z]

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

FERRARA, Massimiliano
Supervision
;
2016-01-01

Abstract

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.
2016
multiple solutions, perturbed impulsive differential equation,
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/5936
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