论文信息 - RATIONAL SOLUTIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS

RATIONAL SOLUTIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS

We prove that degrees of rational solutions of an algebraic differential equation F(dw/dz,w,z) = 0 are bounded. For given F an upper bound for degrees can be determined explicitly. This implies that one can find all rational solutions by solving algebraic equations.

Alexandre Eremenko

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