IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n193602.html

Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type

Author

Listed:
  • Zhinan Xia

Abstract

The existence results of global asymptotic stability of the solution are proved for functional integral equation of mixed type. The measure of noncompactness and the fixed‐point theorem of Darbo are the main tools in carrying out our proof. Furthermore, some examples are given to show the efficiency and usefulness of the main findings.

Suggested Citation

  • Zhinan Xia, 2013. "Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:193602
    DOI: 10.1155/2013/193602
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/193602
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/193602?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. Aneta Sikorska-Nowak, 2007. "Existence Theory for Integrodifferential Equations and Henstock‐Kurzweil Integral in Banach Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2007(1).
    2. Aneta Sikorska-Nowak, 2007. "Existence Theory for Integrodifferential Equations and Henstock-Kurzweil Integral in Banach Spaces," Journal of Applied Mathematics, Hindawi, vol. 2007, pages 1-12, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. A. Samadi & M. B. Ghaemi, 2014. "An Extension of Darbo’s Theorem and Its Application," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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. Amila J. Maldeniya & Naleen C. Ganegoda & Kaushika De Silva & Sanath K. Boralugoda, 2021. "Solving Poisson Equation by Distributional HK‐Integral: Prospects and Limitations," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(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:jnljam:v:2013:y:2013:i:1:n:193602. 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.