Rational solutions of Abel differential equations
نویسندگان
چکیده
We study the rational solutions of Abel equation x′=A(t)x3+B(t)x2 where A and B∈C[t]. prove that if deg(A) is even or deg(B)>(deg(A)−1)/2 then has at most two solutions. For any other case, an upper bound on number obtained. Moreover, we there are more than (deg(A)+1)/2 admits a Darboux first integral.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126368