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On the Qualitative Behavior of Solutions of the Equation ẍ + ƒ1(x)ẋ + ƒ2(x)ẋ2 + g(x) = 0

✍ Scribed by J.F. Jiang


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
483 KB
Volume
194
Category
Article
ISSN
0022-247X

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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