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On the asymptotic stability of x′ = P(x, y)x, y′ = Q(x, y)y

✍ Scribed by R.C Grimmer

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
300 KB
Volume
9
Category
Article
ISSN
0022-0396

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On the Resolution of F(x,y)=G(x,y)
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✍ István Gaál 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 222 KB

Let \(F(x, y), G(x, y) \in \mathbf{Z}[x, y]\) be polynomials of degree \(n\) and \(m\), respectively. Assume, that \(F\) is homogeneous and \(n-m \geq 3\). We give a fast algorithm for the resolution of the inequality \(|F(x, y)| \leq|G(x, y)|\) in \(x, y \in \mathbf{Z}, \max (|x|,|y|)<C\). We illus