Abstract
In this paper we determine estimates for the growth of both real-valued and complex-valued solutions of algebraic differential equations on an interval ( x 0 , + ∞ ) ({x_0}, + \infty ) . One of the main results of the paper (Theorem 3) confirms E. Borel’s conjecture on the growth of real-valued solutions for a broad class of solutions of second-order algebraic differential equations. The conjecture had previously been shown to be false for third-order equations.
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