JournalsprimsVol. 47, No. 4pp. 937–958

Asymptotic Property of Divergent Formal Solutions in Linearization of Singular Vector Fields

  • Masafumi Yoshino

    Hiroshima University, Japan
Asymptotic Property of Divergent Formal Solutions in Linearization of Singular Vector Fields cover
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Abstract

We study asymptotic properties of divergent formal solutions appearing in the linearization problem of a singular vector field without a Diophantine condition or existence of additional first integrals. We give an asymptotic meaning to divergent formal solutions constructed from a singular perturbative solution (cf. [6]).

Cite this article

Masafumi Yoshino, Asymptotic Property of Divergent Formal Solutions in Linearization of Singular Vector Fields. Publ. Res. Inst. Math. Sci. 47 (2011), no. 4, pp. 937–958

DOI 10.2977/PRIMS/57