Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales
We first give the definition and some properties of Cn-almost periodic functions on time scales. Then, as an application, we are concerned with a class of Lasota-Wazewska models on time scales. By means of the fixed point theory and differential inequality techniques on time scales, we obtain some s...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/321328 |
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| _version_ | 1832560727927291904 |
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| author | Li Yang Yongkun Li Wanqin Wu |
| author_facet | Li Yang Yongkun Li Wanqin Wu |
| author_sort | Li Yang |
| collection | DOAJ |
| description | We first give the definition and some properties of Cn-almost periodic functions on time scales. Then, as an application, we are concerned with a class of Lasota-Wazewska models on time scales. By means of the fixed point theory and differential inequality techniques on time scales, we obtain some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for the considered model. Our results are essentially new when T=R or T=Z. Finally, we present a numerical example to show the feasibility of obtained results. |
| format | Article |
| id | doaj-art-404de400f80a41c893cd7f67d18bc318 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-404de400f80a41c893cd7f67d18bc3182025-02-03T01:26:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/321328321328Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time ScalesLi Yang0Yongkun Li1Wanqin Wu2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics and Computer Science, Yunnan Nationalities University, Kunming, Yunnan 650091, ChinaWe first give the definition and some properties of Cn-almost periodic functions on time scales. Then, as an application, we are concerned with a class of Lasota-Wazewska models on time scales. By means of the fixed point theory and differential inequality techniques on time scales, we obtain some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for the considered model. Our results are essentially new when T=R or T=Z. Finally, we present a numerical example to show the feasibility of obtained results.http://dx.doi.org/10.1155/2014/321328 |
| spellingShingle | Li Yang Yongkun Li Wanqin Wu Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales Journal of Applied Mathematics |
| title | Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales |
| title_full | Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales |
| title_fullStr | Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales |
| title_full_unstemmed | Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales |
| title_short | Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales |
| title_sort | cn almost periodic functions and an application to a lasota wazewska model on time scales |
| url | http://dx.doi.org/10.1155/2014/321328 |
| work_keys_str_mv | AT liyang cnalmostperiodicfunctionsandanapplicationtoalasotawazewskamodelontimescales AT yongkunli cnalmostperiodicfunctionsandanapplicationtoalasotawazewskamodelontimescales AT wanqinwu cnalmostperiodicfunctionsandanapplicationtoalasotawazewskamodelontimescales |