On the Polynomial Solutions and Limit Cycles of Some Generalized Polynomial Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
Limit Cycles of the Generalized Polynomial Liénard Differential Equations
We apply the averaging theory of first, second and third order to the class of generalized polynomial Liénard differential equations. Our main result shows that for any n, m ≥ 1 there are differential equations of the form ẍ+f(x)ẋ+g(x) = 0, with f and g polynomials of degree n and m respectively, having at least [(n + m− 1)/2] limit cycles, where [·] denotes the integer part function.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8071139