Title: On the property of (X⁺) for generalized Lienard system

Authors: A. Aghajani, V. Roomi

Addresses: School of Mathematics, Iran University of Science and Technology, Narmak, Farjam street, P.O. Box 16846-13114, Tehran, Iran. ' Department of Basic Science, Imam Ali University of Tehran, Iran

Abstract: This paper investigates the problem of whether all trajectories of the system •x = h(y−F(x)) and •y = −g(x) cross the vertical isocline, which is very important for the existence of periodic solutions and oscillation theory. Sufficient conditions are given for all trajectories to cross the vertical isocline.

Keywords: oscillation; nonlinear differential equations; Lienard system; vertical isocline.

DOI: 10.1504/IJDSDE.2008.023010

International Journal of Dynamical Systems and Differential Equations, 2008 Vol.1 No.4, pp.276 - 282

Published online: 07 Feb 2009 *

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