Approximate controllability and regularity for nonlinear differential equations

<p>Abstract</p> <p>In this article, we deal with the existence, uniqueness, and a variation of solutions of the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator. Moreover, the approximate controllability for the given nonlinear control system is...

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Main Authors: Kim Jin-Ran, Jeong Jin-Mun, Ju Eun-Young
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://www.advancesindifferenceequations.com/content/2011/1/27
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author Kim Jin-Ran
Jeong Jin-Mun
Ju Eun-Young
author_facet Kim Jin-Ran
Jeong Jin-Mun
Ju Eun-Young
author_sort Kim Jin-Ran
collection DOAJ
description <p>Abstract</p> <p>In this article, we deal with the existence, uniqueness, and a variation of solutions of the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator. Moreover, the approximate controllability for the given nonlinear control system is studied.</p>
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spelling doaj.art-783a56dd29e243a39811a3fb97b32a1b2022-12-22T01:22:02ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-012011127Approximate controllability and regularity for nonlinear differential equationsKim Jin-RanJeong Jin-MunJu Eun-Young<p>Abstract</p> <p>In this article, we deal with the existence, uniqueness, and a variation of solutions of the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator. Moreover, the approximate controllability for the given nonlinear control system is studied.</p>http://www.advancesindifferenceequations.com/content/2011/1/27nonlinear differential equationregularityreachable setdegree theoryapproximately controllable
spellingShingle Kim Jin-Ran
Jeong Jin-Mun
Ju Eun-Young
Approximate controllability and regularity for nonlinear differential equations
Advances in Difference Equations
nonlinear differential equation
regularity
reachable set
degree theory
approximately controllable
title Approximate controllability and regularity for nonlinear differential equations
title_full Approximate controllability and regularity for nonlinear differential equations
title_fullStr Approximate controllability and regularity for nonlinear differential equations
title_full_unstemmed Approximate controllability and regularity for nonlinear differential equations
title_short Approximate controllability and regularity for nonlinear differential equations
title_sort approximate controllability and regularity for nonlinear differential equations
topic nonlinear differential equation
regularity
reachable set
degree theory
approximately controllable
url http://www.advancesindifferenceequations.com/content/2011/1/27
work_keys_str_mv AT kimjinran approximatecontrollabilityandregularityfornonlineardifferentialequations
AT jeongjinmun approximatecontrollabilityandregularityfornonlineardifferentialequations
AT jueunyoung approximatecontrollabilityandregularityfornonlineardifferentialequations