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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

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


Author: Steven Bank
Journal: Trans. Amer. Math. Soc. 176 (1973), 263-283
MSC: Primary 34E05; Secondary 34A20
MathSciNet review: 0320461
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0320461-4
PII: S 0002-9947(1973)0320461-4
Keywords: Algebraic differential equations, analytic solutions, representation of solutions, asymptotic behavior of solutions
Article copyright: © Copyright 1973 American Mathematical Society