IDEAS home Printed from
   My bibliography  Save this article

Period Monotonicity for Weight-Homogeneous Differential Systems


  • Khalil I.T. Al-Dosary

    (College of Sciences, University of Sharjah, Sharjah, United Arab Emirates)

  • Hishyar Kh. Abdullah

    (College of Sciences, University of Sharjah, Sharjah, United Arab Emirates)


In this article, integrability, center, and monotonicity of associated period function for -quasi-homogeneous vector fields are investigated. We are concerned with family of vector field given by sum, finite or infinite number of quasi-homogeneous polynomials not necessarily to be sharing the same weights. The investigation is done by utilizing method of computing focal values. As an application of the result, a particular family of (p, q)-quasi-homogeneous vector field is studied to find conditions for center, monotonicity and consequently an explicit form for the associated period function.

Suggested Citation

  • Khalil I.T. Al-Dosary & Hishyar Kh. Abdullah, 2017. "Period Monotonicity for Weight-Homogeneous Differential Systems," International Journal of Mathematics Research, Conscientia Beam, vol. 6(2), pages 46-52.
  • Handle: RePEc:pkp:ijomre:2017:p:46-52
    DOI: 10.18488/journal.24.2017.62.46.52

    Download full text from publisher

    File URL:
    Download Restriction: no

    File URL:
    Download Restriction: no


    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:pkp:ijomre:2017:p:46-52. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Editorial Office). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.