The asymptotic behavior of solutions to second-order equations with higher-order degeneracies and the Laplace equation on a manifold with a cuspidal singularity
type: Item
instance of: scholarly article
title: The asymptotic behavior of solutions to second-order equations with higher-order degeneracies and the Laplace equation on a manifold with a cuspidal singularity
zbMATH Open document ID: 1311.34131
DOI: 10.1134/S1064562414030193
author: M. V. Korovina
published in: Doklady Mathematics
publication date: 2014-11-14T00:00:00Z
review text: The author studies the asymptotics of solutions to homogeneous second-order ordinary differential equations of the form \[ H\Biggl(r,{1\over n} r^{n+1}{d\over dr}\Biggr)= 0, \] where \(H(r,p)\) is a polynomial in \(p\) of second-order with holomorphic coefficients.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 6369715
zbMATH Keywords: conical degeneracy
MaRDI profile type: Publication
cites work: Q5544635
cites work: Existence of resurgent solutions for equations with higher-order degeneration
cites work: Q4888891
cites work: Differential equations with degeneration and resurgent analysis
cites work: Asymptotics solutions of equations with higher-order degeneracies
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description: scientific article; zbMATH DE number 6369715