English

On the existence and construction of Dulac functions

Classical Analysis and ODEs 2015-02-17 v1

Abstract

We provide sufficient conditions on the components of a vector field, which ensure the existence of Dulac functions depending on special functions for such vector field. We also present some applications and examples in order to illustrate our results.

Keywords

Cite

@article{arxiv.1502.04651,
  title  = {On the existence and construction of Dulac functions},
  author = {Osuna Osvaldo and Rodríguez-Ceballos Joel and Vargas-De-León Cruz and Villaseñor-Aguilar Gabriel},
  journal= {arXiv preprint arXiv:1502.04651},
  year   = {2015}
}

Comments

8 pages

R2 v1 2026-06-22T08:30:46.812Z