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- Title
Multiple solutions for a class of perturbed second-order differential equations with impulses.
- Authors
Heidarkhani, Shapour; Ferrara, Massimiliano; Salari, Amjad; Caristi, Giuseppe
- 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.
- Subjects
IMPULSIVE differential equations; LIPSCHITZ spaces; BANACH spaces; CRITICAL point theory; PERTURBATION theory
- Publication
Boundary Value Problems, 2016, Vol 2016, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-016-0581-z