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 |
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ページ(範囲) | 825-845 |
ページ数 | 21 |
ジャーナル | Opuscula Mathematica |
巻 | 35 |
号 | 5 |
DOI | |
出版ステータス | Published - 2015 |
ASJC Scopus subject areas
- 数学 (全般)