Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces
We construct some results on the regularity of solutions and the approximate controllability for neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the controllability of the neutral equations, we first consider the existence and reg...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/431978 |
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| _version_ | 1850106302668210176 |
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| author | Jin-Mun Jeong Seong Ho Cho |
| author_facet | Jin-Mun Jeong Seong Ho Cho |
| author_sort | Jin-Mun Jeong |
| collection | DOAJ |
| description | We construct some results on the regularity of solutions and the approximate controllability for neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the controllability of the neutral equations, we first consider the existence and regularity of solutions of the neutral control system by using fractional power of operators and the local Lipschitz continuity of nonlinear term. Our purpose is to obtain the existence of solutions and the approximate controllability for neutral functional differential control systems without using many of the strong restrictions considered in the previous literature. Finally we give a simple example to which our main result can be applied. |
| format | Article |
| id | doaj-art-2e8d4285872d459e9851761cb6d28f71 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-2e8d4285872d459e9851761cb6d28f712025-08-20T02:38:51ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/431978431978Control Problems for Semilinear Neutral Differential Equations in Hilbert SpacesJin-Mun Jeong0Seong Ho Cho1Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of KoreaDepartment of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of KoreaWe construct some results on the regularity of solutions and the approximate controllability for neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the controllability of the neutral equations, we first consider the existence and regularity of solutions of the neutral control system by using fractional power of operators and the local Lipschitz continuity of nonlinear term. Our purpose is to obtain the existence of solutions and the approximate controllability for neutral functional differential control systems without using many of the strong restrictions considered in the previous literature. Finally we give a simple example to which our main result can be applied.http://dx.doi.org/10.1155/2014/431978 |
| spellingShingle | Jin-Mun Jeong Seong Ho Cho Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces The Scientific World Journal |
| title | Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces |
| title_full | Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces |
| title_fullStr | Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces |
| title_full_unstemmed | Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces |
| title_short | Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces |
| title_sort | control problems for semilinear neutral differential equations in hilbert spaces |
| url | http://dx.doi.org/10.1155/2014/431978 |
| work_keys_str_mv | AT jinmunjeong controlproblemsforsemilinearneutraldifferentialequationsinhilbertspaces AT seonghocho controlproblemsforsemilinearneutraldifferentialequationsinhilbertspaces |