Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems
The Gronwall inequalities are of significance in mathematics and engineering. This paper generalizes the Gronwall-like inequalities from different perspectives. Using the proposed inequalities, the difficulties to discuss the controllability of integrodifferential systems of mixed type can be solved...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/9527680 |
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| _version_ | 1832555415661969408 |
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| author | Haiyong Qin Xin Zuo Jianwei Liu |
| author_facet | Haiyong Qin Xin Zuo Jianwei Liu |
| author_sort | Haiyong Qin |
| collection | DOAJ |
| description | The Gronwall inequalities are of significance in mathematics and engineering. This paper generalizes the Gronwall-like inequalities from different perspectives. Using the proposed inequalities, the difficulties to discuss the controllability of integrodifferential systems of mixed type can be solved. Meanwhile, two examples as their applications are also given to show the effectiveness of our main results. |
| format | Article |
| id | doaj-art-3adc3862291b49d7904adbb46c2908ef |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-3adc3862291b49d7904adbb46c2908ef2025-02-03T05:48:18ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/95276809527680Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear SystemsHaiyong Qin0Xin Zuo1Jianwei Liu2School of Mathematics, Qilu Normal University, Jinan, Shandong 250013, ChinaDepartment of Automation, China University of Petroleum (Beijing), Changping, Beijing 102249, ChinaDepartment of Automation, China University of Petroleum (Beijing), Changping, Beijing 102249, ChinaThe Gronwall inequalities are of significance in mathematics and engineering. This paper generalizes the Gronwall-like inequalities from different perspectives. Using the proposed inequalities, the difficulties to discuss the controllability of integrodifferential systems of mixed type can be solved. Meanwhile, two examples as their applications are also given to show the effectiveness of our main results.http://dx.doi.org/10.1155/2016/9527680 |
| spellingShingle | Haiyong Qin Xin Zuo Jianwei Liu Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems Journal of Control Science and Engineering |
| title | Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems |
| title_full | Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems |
| title_fullStr | Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems |
| title_full_unstemmed | Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems |
| title_short | Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems |
| title_sort | some new generalized retarded gronwall like inequalities and their applications in nonlinear systems |
| url | http://dx.doi.org/10.1155/2016/9527680 |
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