Parametric borel summability for some semilinear system of partial differential equations

Hiroshi Yamazawa, Masafumi Yoshino

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)825-845
Number of pages21
JournalOpuscula Mathematica
Volume35
Issue number5
DOIs
Publication statusPublished - 2015

Keywords

  • Borel summability
  • Euler type operator
  • Singular perturbation

ASJC Scopus subject areas

  • Mathematics(all)

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