On k-summability of formal solutions for certain partial differential operators with polynomial coefficients

We study the \(k\)-summability of divergent formal solutions for the Cauchy problem of certain linear partial differential operators with coefficients which are polynomial in \(t\). We employ the method of successive approximation in order to construct the formal solutions and to obtain the properti...

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Bibliographic Details
Main Authors: Kunio Ichinobe, Masatake Miyake
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3534.pdf