Some properties of the Dulac functions set

Autor: Osvaldo Osuna, Gabriel Villaseñor-Aguilar
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2011, Iss 72, Pp 1-8 (2011)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2011.1.72
Popis: In order to rule out the existence of periodic orbits in the plane for a given system of differential equations, we discuss the feature of the set of Dulac functions, establishing some of its properties as well as some results for special cases where this set of functions is not empty. We give some examples to illustrate applications of these results.
Databáze: Directory of Open Access Journals