Geodesic
THE GENERALISED LIÉNARD EQUATIONS
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 605-617

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DOI

In this paper we present sufficient conditions for all trajectories of the systemto cross the vertical isocline h(y) = F(x), which is very important in the global asymptotic stability of the origin, oscillation theory and existence of periodic solutions. Also we give sufficient conditions for all trajectories which start at a point on the curve h(y) = F(x), to cross the y-axis which is closely connected with the existence of homoclinic orbits, stability of the zero solution, oscillation theory and the centre problem. The obtained results extend and improve some of the authors' previous results and some other theorems in the literature.
DOI : 10.1017/S0017089509990036
Mots-clés : 34C37, 34D05, 34C05 
AGHAJANI, A.; MORADIFAM, A. THE GENERALISED LIÉNARD EQUATIONS. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 605-617. doi: 10.1017/S0017089509990036
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     title = {THE {GENERALISED} {LI\'ENARD} {EQUATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {605--617},
     year = {2009},
     volume = {51},
     number = {3},
     doi = {10.1017/S0017089509990036},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990036/}
}
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