English

Equivalence of stability properties for ultradifferentiable function classes

Classical Analysis and ODEs 2016-03-03 v2 Functional Analysis

Abstract

We characterize stability under composition, inversion, and solution of ordinary differential equations for ultradifferentiable classes, and prove that all these stability properties are equivalent.

Keywords

Cite

@article{arxiv.1407.6673,
  title  = {Equivalence of stability properties for ultradifferentiable function classes},
  author = {Armin Rainer and Gerhard Schindl},
  journal= {arXiv preprint arXiv:1407.6673},
  year   = {2016}
}

Comments

16 pages, some stylistic chances made, accepted for publication in Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM

R2 v1 2026-06-22T05:12:35.928Z