Controllability of nonlinear third-order dispersion inclusions with infinite delay

This article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article.

Bibliographic Details
Main Authors: Meili Li, Xiaoxia Wang, Haiqing Wang
Format: Article
Language:English
Published: Texas State University 2013-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/170/abstr.html
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author Meili Li
Xiaoxia Wang
Haiqing Wang
author_facet Meili Li
Xiaoxia Wang
Haiqing Wang
author_sort Meili Li
collection DOAJ
description This article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article.
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spelling doaj.art-4e9225edcdf84446ad7da7b036c110ea2022-12-21T18:02:15ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-07-012013170,110Controllability of nonlinear third-order dispersion inclusions with infinite delayMeili LiXiaoxia WangHaiqing WangThis article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article.http://ejde.math.txstate.edu/Volumes/2013/170/abstr.htmlControllabilitysemigroup theorynonlinear dispersion inclusionsKorteweg-de Vries equationinfinite delay
spellingShingle Meili Li
Xiaoxia Wang
Haiqing Wang
Controllability of nonlinear third-order dispersion inclusions with infinite delay
Electronic Journal of Differential Equations
Controllability
semigroup theory
nonlinear dispersion inclusions
Korteweg-de Vries equation
infinite delay
title Controllability of nonlinear third-order dispersion inclusions with infinite delay
title_full Controllability of nonlinear third-order dispersion inclusions with infinite delay
title_fullStr Controllability of nonlinear third-order dispersion inclusions with infinite delay
title_full_unstemmed Controllability of nonlinear third-order dispersion inclusions with infinite delay
title_short Controllability of nonlinear third-order dispersion inclusions with infinite delay
title_sort controllability of nonlinear third order dispersion inclusions with infinite delay
topic Controllability
semigroup theory
nonlinear dispersion inclusions
Korteweg-de Vries equation
infinite delay
url http://ejde.math.txstate.edu/Volumes/2013/170/abstr.html
work_keys_str_mv AT meilili controllabilityofnonlinearthirdorderdispersioninclusionswithinfinitedelay
AT xiaoxiawang controllabilityofnonlinearthirdorderdispersioninclusionswithinfinitedelay
AT haiqingwang controllabilityofnonlinearthirdorderdispersioninclusionswithinfinitedelay