On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control
In this paper, we present the existence of extremal solutions of set-valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form DHX(t)=F(t, X(t),H(t,X(t))), X(0)=X0, for all t∈[0,T] with the monotone iterative techni...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/816218 |
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| _version_ | 1832554830139228160 |
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| author | Ngo Van Hoa Nguyen Dinh Phu |
| author_facet | Ngo Van Hoa Nguyen Dinh Phu |
| author_sort | Ngo Van Hoa |
| collection | DOAJ |
| description | In this paper, we present the existence of extremal solutions of set-valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form DHX(t)=F(t, X(t),H(t,X(t))), X(0)=X0, for all t∈[0,T] with the monotone iterative technique and we will verify that monotone sequence of approximate solutions converging uniformly to the solution of the problem, that is useful for optimization problems. |
| format | Article |
| id | doaj-art-3c462bb64f2a457cb953305635b48d6f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3c462bb64f2a457cb953305635b48d6f2025-02-03T05:50:19ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/816218816218On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback ControlNgo Van Hoa0Nguyen Dinh Phu1Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, VietnamFaculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, VietnamIn this paper, we present the existence of extremal solutions of set-valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form DHX(t)=F(t, X(t),H(t,X(t))), X(0)=X0, for all t∈[0,T] with the monotone iterative technique and we will verify that monotone sequence of approximate solutions converging uniformly to the solution of the problem, that is useful for optimization problems.http://dx.doi.org/10.1155/2012/816218 |
| spellingShingle | Ngo Van Hoa Nguyen Dinh Phu On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control Abstract and Applied Analysis |
| title | On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control |
| title_full | On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control |
| title_fullStr | On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control |
| title_full_unstemmed | On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control |
| title_short | On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control |
| title_sort | on maximal and minimal solutions for set valued differential equations with feedback control |
| url | http://dx.doi.org/10.1155/2012/816218 |
| work_keys_str_mv | AT ngovanhoa onmaximalandminimalsolutionsforsetvalueddifferentialequationswithfeedbackcontrol AT nguyendinhphu onmaximalandminimalsolutionsforsetvalueddifferentialequationswithfeedbackcontrol |