IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n784289.html

Uniform Exponential Stability of Discrete Evolution Families on Space of p‐Periodic Sequences

Author

Listed:
  • Yongfang Wang
  • Akbar Zada
  • Nisar Ahmad
  • Dhaou Lassoued
  • Tongxing Li

Abstract

We prove that the discrete system ζn+1=Anζn is uniformly exponentially stable if and only if the unique solution of the Cauchy problem ζn+1=Anζn+eiθn+1zn+1, n∈Z+, ζ0 = 0, is bounded for any real number θ and any p‐periodic sequence z(n) with z(0) = 0. Here, An is a sequence of bounded linear operators on Banach space X.

Suggested Citation

  • Yongfang Wang & Akbar Zada & Nisar Ahmad & Dhaou Lassoued & Tongxing Li, 2014. "Uniform Exponential Stability of Discrete Evolution Families on Space of p‐Periodic Sequences," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:784289
    DOI: 10.1155/2014/784289
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/784289
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/784289?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. Aftab Khan & Gul Rahmat & Akbar Zada, 2013. "On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups," International Journal of Differential Equations, Hindawi, vol. 2013, pages 1-4, July.
    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. Sawitree Moonsuwan & Gul Rahmat & Atta Ullah & Muhammad Yasin Khan & Kamran & Kamal Shah, 2022. "Hyers–Ulam Stability, Exponential Stability, and Relative Controllability of Non‐Singular Delay Difference Equations," Complexity, John Wiley & Sons, vol. 2022(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:wly:jnlaaa:v:2014:y:2014:i:1:n:784289. 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/4058 .

    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.