IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n321328.html

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

Author

Listed:
  • Li Yang
  • Yongkun Li
  • Wanqin Wu

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.

Suggested Citation

  • Li Yang & Yongkun Li & Wanqin Wu, 2014. "Cn‐Almost Periodic Functions and an Application to a Lasota‐Wazewska Model on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:321328
    DOI: 10.1155/2014/321328
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/321328
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/321328?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Yongkun Li & Chao Wang, 2011. "Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-22, October.
    2. Yongkun Li & Li Yang, 2013. "Almost Periodic Solutions for Neutral-Type BAM Neural Networks with Delays on Time Scales," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-13, July.
    3. Yongkun Li & Chao Wang, 2011. "Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. Dariusz Bugajewski & Gaston M. N'Guérékata, 2004. "On some classes of almost periodic functions in abstract spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-11, January.
    5. Yongkun Li & Li Yang, 2013. "Almost Periodic Solutions for Neutral‐Type BAM Neural Networks with Delays on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yongkun Li & Li Yang, 2013. "Almost Periodic Solutions for Neutral‐Type BAM Neural Networks with Delays on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Lili Zhao & Yongkun Li, 2014. "Global Exponential Stability of Weighted Pseudo‐Almost Periodic Solutions of Neutral Type High‐Order Hopfield Neural Networks with Distributed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Chao Wang & Ravi P. Agarwal, 2014. "A Further Study of Almost Periodic Time Scales with Some Notes and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Li Yang & Yongkun Li, 2014. "Existence and Global Exponential Stability of Almost Periodic Solutions for a Class of Delay Duffing Equations on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Wenquan Wu, 2014. "Existence and Uniqueness of Globally Attractive Positive Almost Periodic Solution in a Predator‐Prey Dynamic System with Beddington‐DeAngelis Functional Response," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Yongkun Li & Bing Li, 2015. "Almost Periodic Time Scales and Almost Periodic Functions on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).
    7. Yongkun Li & Chao Wang, 2012. "Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    8. Bing Li & Yongkun Li & Xiaofang Meng, 2019. "The Existence and Global Exponential Stability of Almost Periodic Solutions for Neutral-Type CNNs on Time Scales," Mathematics, MDPI, vol. 7(4), pages 1-25, March.
    9. Yongkun Li, 2017. "Almost Automorphic Functions on the Quantum Time Scale and Applications," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-9, December.
    10. Yongkun Li & Xiaofang Meng, 2017. "Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions for Neutral Type Quaternion-Valued Neural Networks with Delays in the Leakage Term on Time Scales," Complexity, Hindawi, vol. 2017, pages 1-15, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:321328. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.