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Browsing by Subject "Euler type operator"

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    Item type:Article, Access status: Open Access ,
    Parametric Borel summability for some semilinear system of partial differential equations
    (2015) Yamazawa, Hiroshi; Yoshino, Masafumi
    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.