Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales
In this paper, the bounds on the solutions of certain delay dynamic integrodifferential systems on time scales are considered. Based on a new Gronwall-Bellman type delay integral inequality, we can estimate the boundedness of solutions to integrodifferential systems. At the end, an example is presen...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/7365761 |
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| _version_ | 1832566870454042624 |
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| author | Min Fan Yazhou Tian |
| author_facet | Min Fan Yazhou Tian |
| author_sort | Min Fan |
| collection | DOAJ |
| description | In this paper, the bounds on the solutions of certain delay dynamic integrodifferential systems on time scales are considered. Based on a new Gronwall-Bellman type delay integral inequality, we can estimate the boundedness of solutions to integrodifferential systems. At the end, an example is presented to state the main results. |
| format | Article |
| id | doaj-art-a326c37d63e2471e939d623db21e8736 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a326c37d63e2471e939d623db21e87362025-02-03T01:02:57ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/73657617365761Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time ScalesMin Fan0Yazhou Tian1Qingdao University of Technology, Feixian, Shandong 273400, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaIn this paper, the bounds on the solutions of certain delay dynamic integrodifferential systems on time scales are considered. Based on a new Gronwall-Bellman type delay integral inequality, we can estimate the boundedness of solutions to integrodifferential systems. At the end, an example is presented to state the main results.http://dx.doi.org/10.1155/2018/7365761 |
| spellingShingle | Min Fan Yazhou Tian Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales Discrete Dynamics in Nature and Society |
| title | Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales |
| title_full | Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales |
| title_fullStr | Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales |
| title_full_unstemmed | Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales |
| title_short | Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales |
| title_sort | boundedness of the solutions to certain delay dynamic integrodifferential systems on time scales |
| url | http://dx.doi.org/10.1155/2018/7365761 |
| work_keys_str_mv | AT minfan boundednessofthesolutionstocertaindelaydynamicintegrodifferentialsystemsontimescales AT yazhoutian boundednessofthesolutionstocertaindelaydynamicintegrodifferentialsystemsontimescales |