IDEAS home Printed from https://ideas.repec.org/a/wly/jijmms/v2021y2021i1n5511283.html

Solving Poisson Equation by Distributional HK‐Integral: Prospects and Limitations

Author

Listed:
  • Amila J. Maldeniya
  • Naleen C. Ganegoda
  • Kaushika De Silva
  • Sanath K. Boralugoda

Abstract

In this paper, we present some properties of integrable distributions which are continuous linear functional on the space of test function Dℝ2. Here, it uses two‐dimensional Henstock–Kurzweil integral. We discuss integrable distributional solution for Poisson’s equation in the upper half space ℝ+3 with Dirichlet boundary condition.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:5511283
    DOI: 10.1155/2021/5511283
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2021/5511283
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5511283?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. Krzysztof Ostaszewski, 1988. "The space of Henstock integrable functions of two variables," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-7, January.
    3. 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)

    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. Zhinan Xia, 2013. "Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(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:jijmms:v:2021:y:2021:i:1:n:5511283. 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/6396 .

    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.