Article ID Journal Published Year Pages File Type
844133 Nonlinear Analysis: Theory, Methods & Applications 2008 10 Pages PDF
Abstract

In this paper, we study the problem of whether all trajectories of the Liénard system ẋ=y−F(x) and ẏ=−g(x) cross the vertical isocline, which is very important for the existence of periodic solutions and oscillation theory. We solve this problem completely in some sense. Our results include a proof for an old conjecture of Hara and Sugie.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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