Approximate Controllability of the Degenerate System with the First-Order Term

We consider the approximate controllability of the degenerate system with the first-order term. The first-order term in the equation cannot be controlled by the diffusion term. The system is shown to be approximately controllable by constructing a control by means of its conjugate problem.

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Main Author: Runmei Du
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/151484
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author Runmei Du
author_facet Runmei Du
author_sort Runmei Du
collection DOAJ
description We consider the approximate controllability of the degenerate system with the first-order term. The first-order term in the equation cannot be controlled by the diffusion term. The system is shown to be approximately controllable by constructing a control by means of its conjugate problem.
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institution Kabale University
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2314-8888
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publishDate 2015-01-01
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series Journal of Function Spaces
spelling doaj-art-83007e4b6d584bf8a6dfb448864604202025-02-03T01:13:12ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/151484151484Approximate Controllability of the Degenerate System with the First-Order TermRunmei Du0School of Basic Science, Changchun University of Technology, Changchun 130012, ChinaWe consider the approximate controllability of the degenerate system with the first-order term. The first-order term in the equation cannot be controlled by the diffusion term. The system is shown to be approximately controllable by constructing a control by means of its conjugate problem.http://dx.doi.org/10.1155/2015/151484
spellingShingle Runmei Du
Approximate Controllability of the Degenerate System with the First-Order Term
Journal of Function Spaces
title Approximate Controllability of the Degenerate System with the First-Order Term
title_full Approximate Controllability of the Degenerate System with the First-Order Term
title_fullStr Approximate Controllability of the Degenerate System with the First-Order Term
title_full_unstemmed Approximate Controllability of the Degenerate System with the First-Order Term
title_short Approximate Controllability of the Degenerate System with the First-Order Term
title_sort approximate controllability of the degenerate system with the first order term
url http://dx.doi.org/10.1155/2015/151484
work_keys_str_mv AT runmeidu approximatecontrollabilityofthedegeneratesystemwiththefirstorderterm