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A note on the Darboux theory of integrability of non-autonomous polynomial differential systems

✍ Scribed by Blázquez-Sanz, David; Pantazi, Chara

Book ID
115437773
Publisher
Institute of Physics
Year
2012
Tongue
English
Weight
150 KB
Volume
25
Category
Article
ISSN
0951-7715

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✍ J. Chavarriga; M. Grau 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 361 KB

we show that the system S = 1, B = 2n + 2sy + y2 has the algebraic solution h(z, v) = Zf,,(z)y + 2nH,,-i(r), where'H,,(r) is the Hermite polynomial of degree n, and the system is not Darboux integrable and has no Darboux integrating factor for any n E N.