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Period Monotonicity for Weight-Homogeneous Differential Systems

Author

Listed:
  • 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)

Abstract

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
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