Existence results for impulsive evolution differential equations with state-dependent delay

We study the existence of mild solution for impulsive evolution abstract differential equations with state-dependent delay. A concrete application to partial delayed differential equations is considered.

Bibliographic Details
Main Authors: Eduardo Hernandez M., Rathinasamy Sakthivel, Sueli Tanaka Aki
Format: Article
Language:English
Published: Texas State University 2008-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/28/abstr.html
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author Eduardo Hernandez M.
Rathinasamy Sakthivel
Sueli Tanaka Aki
author_facet Eduardo Hernandez M.
Rathinasamy Sakthivel
Sueli Tanaka Aki
author_sort Eduardo Hernandez M.
collection DOAJ
description We study the existence of mild solution for impulsive evolution abstract differential equations with state-dependent delay. A concrete application to partial delayed differential equations is considered.
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spelling doaj.art-a7b596e3835c4aa3a251b4ba823079812022-12-21T22:15:39ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-02-01200828111Existence results for impulsive evolution differential equations with state-dependent delayEduardo Hernandez M.Rathinasamy SakthivelSueli Tanaka AkiWe study the existence of mild solution for impulsive evolution abstract differential equations with state-dependent delay. A concrete application to partial delayed differential equations is considered.http://ejde.math.txstate.edu/Volumes/2008/28/abstr.htmlState-dependent delayabstract Cauchy problempartial functional-differential equationsevolution operators
spellingShingle Eduardo Hernandez M.
Rathinasamy Sakthivel
Sueli Tanaka Aki
Existence results for impulsive evolution differential equations with state-dependent delay
Electronic Journal of Differential Equations
State-dependent delay
abstract Cauchy problem
partial functional-differential equations
evolution operators
title Existence results for impulsive evolution differential equations with state-dependent delay
title_full Existence results for impulsive evolution differential equations with state-dependent delay
title_fullStr Existence results for impulsive evolution differential equations with state-dependent delay
title_full_unstemmed Existence results for impulsive evolution differential equations with state-dependent delay
title_short Existence results for impulsive evolution differential equations with state-dependent delay
title_sort existence results for impulsive evolution differential equations with state dependent delay
topic State-dependent delay
abstract Cauchy problem
partial functional-differential equations
evolution operators
url http://ejde.math.txstate.edu/Volumes/2008/28/abstr.html
work_keys_str_mv AT eduardohernandezm existenceresultsforimpulsiveevolutiondifferentialequationswithstatedependentdelay
AT rathinasamysakthivel existenceresultsforimpulsiveevolutiondifferentialequationswithstatedependentdelay
AT suelitanakaaki existenceresultsforimpulsiveevolutiondifferentialequationswithstatedependentdelay