Existence results for \(m\)th-order impulsive functional differential inclusions
type: Item
instance of: scholarly article
title: Existence results for \(m\)th-order impulsive functional differential inclusions
zbMATH Open document ID: 1242.34121
author: Guobing Ye
author: Jianli Li
author: Jianhua Shen
published in: Indagationes Mathematicae. New Series
publication date: 2011-11-29T00:00:00Z
review text: This paper is concerned with the existence of solutions for the following \(m\)th-order impulsive functional differential inclusions \[ u^{(m)}(t)\in F(t,u_{t}), \;t\in [0,T], \;t\not=t_{k}, \;k=1,\dots,p, \] \[ \delta u^{(i)}(t_{k})=I_{ik}(u(t_{k})), \;i=0,1,\dots,m-1, \;k=1,\dots,p, \] \[ u(t)=\phi(t), \;t\in [-r,0], \;u'(0)=\eta. \] The proof of the main results are based upon appropriate fixed point theorems.
reviewed by: Mouffak Benchohra
Mathematics Subject Classification ID: 34K09
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5982440
zbMATH Keywords: impulsive differential inclusions
zbMATH Keywords: delay
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: j.indag.2011.07.001
OpenAlex ID: W2046819775
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DOI: 10.1016/J.INDAG.2011.07.001
description: scientific article; zbMATH DE number 5982440