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Abstract
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In this paper we use qualitative theory of differential equations to study the behavior of the solutions
of generalized Liénard type system. We give sufficient conditions for all trajectories which start at a point
on characteristic curve to cross the y-axis, which is very important in the global asymptotic stability of the
origin, oscillation theory, and existence of periodic solutions. Our result extend the results of Aghajani
and Moradifam and improve the results presented by Hara and Yoneyama. Some examples are used to
illustrate our result.
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