@Article{pakinsight, AUTHOR = {}, TITLE = {Period Monotonicity for Weight-Homogeneous Differential Systems}, JOURNAL = {International Journal of Mathematical Research}, VOLUME = {6}, YEAR = {2017}, NUMBER = {2}, PAGES = {46-52}, URL = {http://www.pakinsight.com/archive/24/02-2017/2}, ISSN = {2306-2223}, 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.}, DOI = {10.18488/journal.24.2017.62.46.52} }