Author： Biles D.C. Robinson M.P. Spraker J.S.
Publisher： Taylor & Francis Ltd
ISSN： 0278-1077
Source： Complex Variables, Vol.48, Iss.2, 2003-01, pp. : 143-154
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Abstract
In this article, existence and uniqueness of analytic solutions to a class of problems of the form $ zG{prime prime }(z)+J(z)G{prime }(z)+F(G(z))=0, G(0)=G_0 $ are considered, where J is analytic in some neighborhood about 0 and F is analytic in some neighborhood of G0. This is a generalization of a class of problems considered by Rothe (F. Rothe (1997). A variant of Frobenius' method for the Emden-Fowler equation. Applicable Analysis, 66, 227-245).
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