Geodesic
On the number of limit cycles of a generalized Abel equation
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 73-83
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New results are proved on the maximum number of isolated $T$-periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.
New results are proved on the maximum number of isolated $T$-periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.
DOI : 10.1007/s10587-011-0018-x
Classification : 34C07, 34C25
Keywords: periodic solution; limit cycle; polynomial nonlinearity 
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Alkoumi, Naeem; Torres, Pedro J. On the number of limit cycles of a generalized Abel equation. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 73-83. doi: 10.1007/s10587-011-0018-x

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