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On the Liénard system with two isoclines

✍ Scribed by Makoto Hayashi


Book ID
111493040
Publisher
SP Versita
Year
2009
Tongue
English
Weight
873 KB
Volume
59
Category
Article
ISSN
0139-9918

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Intersection with the vertical isocline
✍ A. Aghajani; A. Moradifam 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 271 KB

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 p