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

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  • Li Yang
  • Yongkun Li
  • Wanqin Wu

Abstract

We first give the definition and some properties of -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 -almost periodic solutions for the considered model. Our results are essentially new when or . Finally, we present a numerical example to show the feasibility of obtained results.

Suggested Citation

  • Li Yang & Yongkun Li & Wanqin Wu, 2014. "-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, May.
    • Handle: RePEc:hin:jnljam:321328
    DOI: 10.1155/2014/321328
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