C^n-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales

We first give the definition and some properties of C n -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...

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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2014; pp. 543 - 552-261
Main Authors Yang, Li, Li, Yongkun, Wu, Wanqin
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Anemia
Blood
Ordinary differential equations
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Summary:We first give the definition and some properties of C n -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 C 1 -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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/321328