Open AccessThe number of limit cycles for generalized Abel equations with periodic coefficients of definite sign
Author(s) -
Amelia Álvarez,
José Luis Bravo,
Manuel Fernández
Publication year - 2009
Publication title -
communications on pure andamp applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2009.8.1493
Subject(s) - limit (mathematics) , sign (mathematics) , mathematical physics , mathematics , physics , mathematical analysis , combinatorics
summary: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
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