Polynomial differential systems having a given Darbouxian first integral*1
نویسندگان
چکیده
منابع مشابه
Polynomial differential systems having a given Darbouxian first integral ✩
The Darbouxian theory of integrability allows to determine when a polynomial differential system in C2 has a first integral of the kind f λ1 1 · · ·f λp p exp(g/h) where fi , g and h are polynomials in C[x, y], and λi ∈ C for i = 1, . . . , p. The functions of this form are called Darbouxian functions. Here, we solve the inverse problem, i.e. we characterize the polynomial vector fields in C2 h...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Math�matiques
سال: 2004
ISSN: 0007-4497
DOI: 10.1016/s0007-4497(04)00051-x