IDEAS home Printed from https://ideas.repec.org/a/hin/jnijsa/402141.html
   My bibliography  Save this article

BSDE associated with Lévy processes and application to PDIE

Author

Listed:
  • K. Bahlali
  • M. Eddahbi
  • E. Essaky

Abstract

We deal with backward stochastic differential equations (BSDE for short) driven by Teugel's martingales and an independent Brownian motion. We study the existence, uniqueness and comparison of solutions for these equations under a Lipschitz as well as a locally Lipschitz conditions on the coefficient. In the locally Lipschitz case, we prove that if the Lipschitz constant L N behaves as log ( N ) in the ball B ( 0 , N ) , then the corresponding BSDE has a unique solution which depends continuously on the on the coefficient and the terminal data. This is done with an unbounded terminal data. As application, we give a probabilistic interpretation for a large class of partial differential integral equations (PDIE for short).

Suggested Citation

  • K. Bahlali & M. Eddahbi & E. Essaky, 2003. "BSDE associated with Lévy processes and application to PDIE," International Journal of Stochastic Analysis, Hindawi, vol. 16, pages 1-17, January.
    • Handle: RePEc:hin:jnijsa:402141
    DOI: 10.1155/S1048953303000017
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJSA/16/402141.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJSA/16/402141.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S1048953303000017?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. Dela Vega, Engel John C. & Elliott, Robert J., 2022. "Backward stochastic differential equations with regime-switching and sublinear expectations," Stochastic Processes and their Applications, Elsevier, vol. 148(C), pages 278-298.

    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:402141. 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.