IDEAS home Printed from https://ideas.repec.org/a/hin/jnijsa/651929.html

Functional integro-differential stochastic evolution equations in Hilbert space

Author

Listed:
  • David N. Keck
  • Mark A. McKibben

Abstract

We investigate a class of abstract functional integro-differential stochastic evolution equations in a real separable Hilbert space. Global existence results concerning mild and periodic solutions are formulated under various growth and compactness conditions. Also, related convergence results are established and an example arising in the mathematical modeling of heat conduction is discussed to illustrate the abstract theory.

Suggested Citation

  • David N. Keck & Mark A. McKibben, 2003. "Functional integro-differential stochastic evolution equations in Hilbert space," International Journal of Stochastic Analysis, Hindawi, vol. 16, pages 1-21, January.
    • Handle: RePEc:hin:jnijsa:651929
    DOI: 10.1155/S1048953303000108
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJSA/16/651929.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJSA/16/651929.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S1048953303000108?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. Li Xi-liang & Han Yu-liang, 2013. "Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Mark A. McKibben & Micah Webster, 2014. "Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Lijie Li, 2014. "Existence of Square‐Mean Almost Automorphic Solutions to Stochastic Functional Integrodifferential Equations in Hilbert Spaces," Abstract and Applied Analysis, 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:jnijsa:651929. 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.