IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v76y2006i18p1954-1960.html
   My bibliography  Save this article

On the solvability of infinite horizon forward-backward stochastic differential equations with absorption coefficients

Author

Listed:
  • Guo, Dongmei
  • Ji, Shaolin
  • Zhao, Huaizhong

Abstract

Solvability of infinite horizon forward-backward stochastic differential equations with absorption coefficients is considered by successive approximation method. The uniqueness and existence of an adapted solution is established for the equations.

Suggested Citation

  • Guo, Dongmei & Ji, Shaolin & Zhao, Huaizhong, 2006. "On the solvability of infinite horizon forward-backward stochastic differential equations with absorption coefficients," Statistics & Probability Letters, Elsevier, vol. 76(18), pages 1954-1960, December.
  • Handle: RePEc:eee:stapro:v:76:y:2006:i:18:p:1954-1960
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(06)00165-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Peng, Shige & Shi, Yufeng, 2000. "Infinite horizon forward-backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 85(1), pages 75-92, January.
    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. Yannacopoulos, Athanasios N., 2008. "Rational expectations models: An approach using forward-backward stochastic differential equations," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 251-276, February.
    2. Delbaen, Freddy & Qiu, Jinniao & Tang, Shanjian, 2015. "Forward–backward stochastic differential systems associated to Navier–Stokes equations in the whole space," Stochastic Processes and their Applications, Elsevier, vol. 125(7), pages 2516-2561.
    3. Gregory Gagnon, 2019. "Vanishing central bank intervention in stochastic impulse control," Annals of Finance, Springer, vol. 15(1), pages 125-153, March.
    4. Liu, Jingmei & Liang, Xiao & Xu, Juanjuan, 2021. "Solution to the forward and backward stochastic difference equations with asymmetric information and application," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    5. Xanthi-Isidora Kartala & Nikolaos Englezos & Athanasios N. Yannacopoulos, 2020. "Future Expectations Modeling, Random Coefficient Forward–Backward Stochastic Differential Equations, and Stochastic Viscosity Solutions," Mathematics of Operations Research, INFORMS, vol. 45(2), pages 403-433, May.
    6. Gregory Gagnon, 2012. "Exchange rate bifurcation in a stochastic evolutionary finance model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 35(1), pages 29-58, May.
    7. Guangchen Wang & Hua Xiao, 2015. "Arrow Sufficient Conditions for Optimality of Fully Coupled Forward–Backward Stochastic Differential Equations with Applications to Finance," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 639-656, May.
    8. Yin, Juliang, 2008. "On solutions of a class of infinite horizon FBSDEs," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2412-2419, October.

    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:eee:stapro:v:76:y:2006:i:18:p:1954-1960. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.