抜粋
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.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 825-845 |
| ページ数 | 21 |
| ジャーナル | Opuscula Mathematica |
| 巻 | 35 |
| 発行部数 | 5 |
| DOI | |
| 出版物ステータス | Published - 2015 |
ASJC Scopus subject areas
- Mathematics(all)
フィンガープリント Parametric borel summability for some semilinear system of partial differential equations' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Yamazawa, H., & Yoshino, M. (2015). Parametric borel summability for some semilinear system of partial differential equations. Opuscula Mathematica, 35(5), 825-845. https://doi.org/10.7494/OpMath.2015.35.5.825