On the asymptotic representation of analytic solutions of first-order algebraic differential equations in sectors

Bank, Steven

doi:10.1090/S0002-9947-1973-0320461-4

On the asymptotic representation of analytic solutions of first-order algebraic differential equations in sectors
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Trans. Amer. Math. Soc. 176 (1973), 263-283 Request permission

Abstract:

In this paper, we treat first-order algebraic differential equations whose coefficients belong to a certain type of function field. (Our results include as a special case, the case when the coefficients are rational functions.) In our main result, we obtain precise asymptotic representations for a broad class of solutions of such equations.

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