IJPAM: Volume 32, No. 2 (2006)
College of Arts and Sciences
Univesity of Sharjah
P.O. Box 27272, Sharjah, UNITED ARAB EMIRATES
e-mail: dosary@sharjah.ac.ae
Abstract.We consider the second-order differential equations of the formIn this paper we deal with the so-called monotonicity and isochronicity
problem. We study this problem by means of a new appropriate equivalent
differential system of the form
We use this system to determine the monotonicity charactor of the period
function. Then we give necessary and sufficient condition for monotonicty and
isochronicty when , and are analytic functions. We apply
this chracterization to estimate the region of monotonicty of the period
function of a particular case of the considered equation.
Received: August 20, 2006
AMS Subject Classification: 34C25
Key Words and Phrases: center, period function, monotonicity, isochronous center
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 32
Issue: 2