Parametric borel summability for some semilinear system of partial differential equations

Hiroshi Yamazawa, Masafumi Yoshino

研究成果: Article査読

8 被引用数 (Scopus)

抄録

In this paper we study the Borel summability of formal solutions with a parameter of first order semilinear system of partial differential equations with n independent variables. In [Singular perturbation of linear systems with a regular singularity, J. Dynam. Control. Syst. 8 (2002), 313-322], Balser and Kostov proved the Borel summability of formal solutions with respect to a singular perturbation parameter for a linear equation with one independent variable. We shall extend their results to a semilinear system of equations with general independent variables.

本文言語English
ページ(範囲)825-845
ページ数21
ジャーナルOpuscula Mathematica
35
5
DOI
出版ステータスPublished - 2015

ASJC Scopus subject areas

  • 数学 (全般)

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