IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/341520.html

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales

Author

Listed:
  • Yongkun Li
  • Chao Wang

Abstract

Firstly, we propose a concept of uniformly almost periodic functions on almost periodic time scales and investigate some basic properties of them. When time scale or , our definition of the uniformly almost periodic functions is equivalent to the classical definitions of uniformly almost periodic functions and the uniformly almost periodic sequences, respectively. Then, based on these, we study the existence and uniqueness of almost periodic solutions and derive some fundamental conditions of admitting an exponential dichotomy to linear dynamic equations. Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:341520
    DOI: 10.1155/2011/341520
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2011/341520.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2011/341520.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/341520?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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).
    4. 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.
    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 & Chao Wang, 2012. "Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    7. 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).
    8. 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).
    9. 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).
    10. 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).

    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:hin:jnlaaa:341520. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.