TY  - JOUR
ID  - Yamazawa2015
LB  - Yamazawa2015
AU  - Yamazawa, Hiroshi
AU  - Yoshino, Masafumi
TI  - Parametric Borel summability for some semilinear system of partial differential equations
ST  - Parametric Borel summability for some semilinear system of partial differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 5
SP  - 825
EP  - 845
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.5.825
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.5.825
AB  - 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.
KW  - Borel summability
KW  - singular perturbation
KW  - Euler type operator
SN  - 1232-9274
ER  -