Random semilinear system of differential equations with impulses

Abstract In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov’s, a nonlinear alternative of Leray-Schauder’s fixed point principles combined with a technique base...

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Main Authors:	A Baliki, JJ Nieto, A Ouahab, ML Sinacer
Format:	Article
Language:	English
Published:	SpringerOpen 2017-12-01
Series:	Fixed Point Theory and Applications
Subjects:	random variable mild solution vector-valued norm fixed point theorem matrix condensing
Online Access:	http://link.springer.com/article/10.1186/s13663-017-0622-z

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spelling	doaj-f5e31dc2b3414ca8b23eb10764eb82fc2020-11-25T02:32:52ZengSpringerOpenFixed Point Theory and Applications1687-18122017-12-012017112910.1186/s13663-017-0622-zRandom semilinear system of differential equations with impulsesA Baliki0JJ Nieto1A Ouahab2ML Sinacer3Mascara UniversityInstituto de Matemáticas, Facultad de Matemáticas, Universidad de Santiago de CompostelaLaboratory of Mathematics, Sidi-Bel-Abbès UniversityMascara UniversityAbstract In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov’s, a nonlinear alternative of Leray-Schauder’s fixed point principles combined with a technique based on vector-valued metrics and convergent to zero matrices. Also, we give a random abstract formulation to Sadovskii’s fixed point theorem in a vector-valued Banach space. Examples illustrating the results are included.http://link.springer.com/article/10.1186/s13663-017-0622-zrandom variablemild solutionvector-valued normfixed point theoremmatrixcondensing
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A Baliki JJ Nieto A Ouahab ML Sinacer
spellingShingle	A Baliki JJ Nieto A Ouahab ML Sinacer Random semilinear system of differential equations with impulses Fixed Point Theory and Applications random variable mild solution vector-valued norm fixed point theorem matrix condensing
author_facet	A Baliki JJ Nieto A Ouahab ML Sinacer
author_sort	A Baliki
title	Random semilinear system of differential equations with impulses
title_short	Random semilinear system of differential equations with impulses
title_full	Random semilinear system of differential equations with impulses
title_fullStr	Random semilinear system of differential equations with impulses
title_full_unstemmed	Random semilinear system of differential equations with impulses
title_sort	random semilinear system of differential equations with impulses
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1812
publishDate	2017-12-01
description	Abstract In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov’s, a nonlinear alternative of Leray-Schauder’s fixed point principles combined with a technique based on vector-valued metrics and convergent to zero matrices. Also, we give a random abstract formulation to Sadovskii’s fixed point theorem in a vector-valued Banach space. Examples illustrating the results are included.
topic	random variable mild solution vector-valued norm fixed point theorem matrix condensing
url	http://link.springer.com/article/10.1186/s13663-017-0622-z
work_keys_str_mv	AT abaliki randomsemilinearsystemofdifferentialequationswithimpulses AT jjnieto randomsemilinearsystemofdifferentialequationswithimpulses AT aouahab randomsemilinearsystemofdifferentialequationswithimpulses AT mlsinacer randomsemilinearsystemofdifferentialequationswithimpulses
_version_	1715455245014794240

Random semilinear system of differential equations with impulses

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