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- W2904595256 abstract "The analytic delayed-differential equation$z^2 psi ^{ ! prime } (z) + psi (z/q) = z$for $q>1$has a solution which can be expressed as a formal power series.A $q$-advanced Laplace-Borel kernel provides for the constructionof an analytic solution whose domain is the right half planewith vertex at the initial point $z=0$.This method is extended to provide a continuous family of solutions,of which a subfamily extends to a punctured neighborhood of $z=0$on the logarithmic Riemann surface.Conditions are given on the asymptotics of $psi ^{ ! prime } (z)$ near $z=0$to ensure uniqueness." @default.
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- W2904595256 date "2005-09-01" @default.
- W2904595256 modified "2023-10-16" @default.
- W2904595256 title "Unique summing of formal power series solutions to advanced and delayed differential equations" @default.
- W2904595256 doi "https://doi.org/10.3934/proc.2005.2005.730" @default.
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