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](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-47-issue-4.png&w=3840&q=90)
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