Controllability of impulsive functional differential systems with nonlocal conditions

In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Monch fixed point theorem.

Bibliographic Details
Main Authors: Yansheng Liu, Donal O'Regan
Format: Article
Language:English
Published: Texas State University 2013-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/194/abstr.html
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author Yansheng Liu
Donal O'Regan
author_facet Yansheng Liu
Donal O'Regan
author_sort Yansheng Liu
collection DOAJ
description In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Monch fixed point theorem.
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spelling doaj.art-4d4003a5e8de4b4da2bd57d190ad227e2022-12-22T01:23:38ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-08-012013194,110Controllability of impulsive functional differential systems with nonlocal conditionsYansheng Liu0Donal O'Regan1 Shandong Normal Univ., Jinan, China National Univ. of Ireland, Galway, Ireland In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Monch fixed point theorem.http://ejde.math.txstate.edu/Volumes/2013/194/abstr.htmlControllabilityfixed point theoremnonlocal conditionsimpulsive functional differential equations
spellingShingle Yansheng Liu
Donal O'Regan
Controllability of impulsive functional differential systems with nonlocal conditions
Electronic Journal of Differential Equations
Controllability
fixed point theorem
nonlocal conditions
impulsive functional differential equations
title Controllability of impulsive functional differential systems with nonlocal conditions
title_full Controllability of impulsive functional differential systems with nonlocal conditions
title_fullStr Controllability of impulsive functional differential systems with nonlocal conditions
title_full_unstemmed Controllability of impulsive functional differential systems with nonlocal conditions
title_short Controllability of impulsive functional differential systems with nonlocal conditions
title_sort controllability of impulsive functional differential systems with nonlocal conditions
topic Controllability
fixed point theorem
nonlocal conditions
impulsive functional differential equations
url http://ejde.math.txstate.edu/Volumes/2013/194/abstr.html
work_keys_str_mv AT yanshengliu controllabilityofimpulsivefunctionaldifferentialsystemswithnonlocalconditions
AT donaloregan controllabilityofimpulsivefunctionaldifferentialsystemswithnonlocalconditions