Painleve Property and Algebraic Integrability of Single Variable Ordinary Differential Equations with Dominants : General and Mathematical Physics
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概要
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We consider n-th order single variable ordinary differential equations which are expressed by u_<nx>-λ(u, u_x, …, u_<(n-1)x>)=0 where λ are polynomials. Then we prove by an algebraic method that these differential equations satisfy Painleve property's necessary condition if they have enough algebraic first integrals and dominants.
- 理論物理学刊行会の論文
- 1990-09-25
著者
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ISHII Masaharu
Department of Biotechnology, The University of Tokyo
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Ishii Masaharu
Department Of Biotechnology Graduate School Of Agricultural And Life Sciences The University Of Toky
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Ishii Masaharu
Department Of Physics Nagoya University
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Ishii M
Nagoya Univ. Nagoya
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ISHII Masaharu
Department of Physics, Nagoya University
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ISHII Masaharu
Department of Agricultural Chemistry, The University of Tokyo
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