Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions

Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions

This paper discusses the existence of infinitely many periodic solutions for a semilinear fourth-order impulsive differential inclusion with a perturbed nonlinearity and two parameters. The approach is based on a critical point theorem for nonsmooth functionals.

Bibliographic Details
Main Authors: Massimiliano Ferrara, Giuseppe Caristi, Amjad Salari
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/5784273
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spelling doaj-55ab317d88fc46f881018f34a9777c022020-11-24T23:12:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/57842735784273Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential InclusionsMassimiliano Ferrara0Giuseppe Caristi1Amjad Salari2Department of Law and Economics, Mediterranea University of Reggio Calabria, Via dei Bianchi 2, 89131 Reggio Calabria, ItalyDepartment of Economics, University of Messina, Via dei Verdi 75, 98122 Messina, ItalyDepartment of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, IranThis paper discusses the existence of infinitely many periodic solutions for a semilinear fourth-order impulsive differential inclusion with a perturbed nonlinearity and two parameters. The approach is based on a critical point theorem for nonsmooth functionals.http://dx.doi.org/10.1155/2016/5784273
collection DOAJ
language English
format Article
sources DOAJ
author Massimiliano Ferrara
Giuseppe Caristi
Amjad Salari
spellingShingle Massimiliano Ferrara
Giuseppe Caristi
Amjad Salari
Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions
Abstract and Applied Analysis
author_facet Massimiliano Ferrara
Giuseppe Caristi
Amjad Salari
author_sort Massimiliano Ferrara
title Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions
title_short Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions
title_full Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions
title_fullStr Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions
title_full_unstemmed Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions
title_sort existence of infinitely many periodic solutions for perturbed semilinear fourth-order impulsive differential inclusions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2016-01-01
description This paper discusses the existence of infinitely many periodic solutions for a semilinear fourth-order impulsive differential inclusion with a perturbed nonlinearity and two parameters. The approach is based on a critical point theorem for nonsmooth functionals.
url http://dx.doi.org/10.1155/2016/5784273
work_keys_str_mv AT massimilianoferrara existenceofinfinitelymanyperiodicsolutionsforperturbedsemilinearfourthorderimpulsivedifferentialinclusions
AT giuseppecaristi existenceofinfinitelymanyperiodicsolutionsforperturbedsemilinearfourthorderimpulsivedifferentialinclusions
AT amjadsalari existenceofinfinitelymanyperiodicsolutionsforperturbedsemilinearfourthorderimpulsivedifferentialinclusions
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