IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i5p502-d508145.html
   My bibliography  Save this article

Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation

Author

Listed:
  • Zuzana Pátíková

    (Department of Mathematics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic)

Abstract

In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations. Compared equations are seen as perturbations of a given non-oscillatory equation, which allows studying the equations on the borderline of oscillation and non-oscillation. We bring a new comparison theorem and apply it to the so-called generalized Riemann–Weber equation (also referred to as a Euler-type equation).

Suggested Citation

  • Zuzana Pátíková, 2021. "Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation," Mathematics, MDPI, vol. 9(5), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:502-:d:508145
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/5/502/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/5/502/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:9:y:2021:i:5:p:502-:d:508145. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.