A general representation theorem for analytic solutions of first-order algebraic differential equations in sectors

Author:
Steven B. Bank

Journal:
Trans. Amer. Math. Soc. **193** (1974), 267-289

MSC:
Primary 34A20; Secondary 12H05

DOI:
https://doi.org/10.1090/S0002-9947-1974-0355153-X

MathSciNet review:
0355153

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we obtain precise asymptotic representations for a broad class of solutions of first-order algebraic differential equations whose coefficients belong to a certain type of function field.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1974-0355153-X

Keywords:
Algebraic differential equations,
analytic solutions,
representation of solutions,
asymptotic behavior of solutions

Article copyright:
© Copyright 1974
American Mathematical Society