On the property of (X+) for generalized Lienard system Online publication date: Sat, 07-Feb-2009
by A. Aghajani, V. Roomi
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 1, No. 4, 2008
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.
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