Article ID Journal Published Year Pages File Type
1710734 Applied Mathematics Letters 2006 7 Pages PDF
Abstract

In this work we study the problem of whether all trajectories of the 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. Sufficient conditions are given for all trajectories to cross the vertical isocline.

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Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Preview
Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane
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