TY  - EJOU
AU  - 
T1  - Period Monotonicity for Weight-Homogeneous Differential Systems
T2  - International Journal of Mathematical Research

PY  - 2017
VL  - 6
IS  - 2
SN  - 2306-2223

AB  - 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.
KW  - Integrability
KW  - Centre
KW  - Period function
KW  - Quasi-homogeneous polynomial
KW  - Center-focus problem
KW  - Vector field.
DO  - 10.18488/journal.24.2017.62.46.52