@Article{Yamazawa2015,
author = "Yamazawa, Hiroshi and Yoshino, Masafumi",
title = "Parametric Borel summability for some semilinear system of partial differential equations",
journal = "Opuscula Math.",
year = "2015",
volume = "35",
number = "5",
pages = "825--845",
doi = "http://dx.doi.org/10.7494/OpMath.2015.35.5.825",
url = "http://dx.doi.org/10.7494/OpMath.2015.35.5.825",
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.",
keywords = "Borel summability, singular perturbation, Euler type operator",
issn = "1232-9274"
}