Abstract
It is proved in this paper that the lowest upper bound of the number of the isolated zeros of the Abelian integral
is two for h∈(−1/12, 0), where Γh is the compact component of H(x, y)=(1/2) y2+(1/3) x3+(1/4) x4=h, and α, β, γ are arbitrary constants.
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Entrata in Redazione il 4 dicembre 1997.
Partially supported by NSF and DPF of China.
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Zhao, Y., Zhang, Z. Abelian integrals for cubic vector fields. Annali di Matematica pura ed applicata 176, 251–272 (1999). https://doi.org/10.1007/BF02505998
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DOI: https://doi.org/10.1007/BF02505998