Parametric Borel summability for some semilinear system of partial differential equations | Zendy

Hiroshi Yamazawa | Zendy; Masafumi Yoshino | Zendy

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Parametric Borel summability for some semilinear system of partial differential equations

Author(s) -

Hiroshi Yamazawa,

Masafumi Yoshino

Publication year - 2015

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2015.35.5.825

Subject(s) - mathematics , parametric statistics , differential equation , mathematical analysis , pure mathematics , statistics

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

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