The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
نویسندگان
چکیده
منابع مشابه
The role of algebraic solutions in planar polynomial differential systems . ∗
We study a planar polynomial differential system, given by ẋ = P (x, y), ẏ = Q(x, y). We consider a function I(x, y) = exp{h2(x)A1(x, y) A0(x, y)} h1(x) ∏l i=1(y − gi(x))i , where gi(x) are algebraic functions of x, A1(x, y) = ∏r k=1(y − ak(x)), A0(x, y) = ∏s j=1(y − g̃j(x)) with ak(x) and g̃j(x) algebraic functions, A0(x, y) and A1(x, y) do not share any common factor, h2(x) is a rational functi...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2021
ISSN: ['1417-3875']
DOI: https://doi.org/10.14232/ejqtde.2021.1.51