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2014 Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales
Li Yang, Yongkun Li, Wanqin Wu
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/321328

Abstract

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.

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Li Yang. Yongkun Li. Wanqin Wu. "Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/321328

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131517
Digital Object Identifier: 10.1155/2014/321328

Rights: Copyright © 2014 Hindawi

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