On the Dulac functions for multiply connected domains

We provide a method for to find Dulac functions in multiply connected domains using partial differential equations. We also present some applications and examples in order to illustrate our results.

Bibliographic Details
Main Authors: Gabriel Villaseñor-Aguilar, Osvaldo Osuna
Format: Article
Language:English
Published: University of Szeged 2013-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2400
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author Gabriel Villaseñor-Aguilar
Osvaldo Osuna
author_facet Gabriel Villaseñor-Aguilar
Osvaldo Osuna
author_sort Gabriel Villaseñor-Aguilar
collection DOAJ
description We provide a method for to find Dulac functions in multiply connected domains using partial differential equations. We also present some applications and examples in order to illustrate our results.
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spelling doaj.art-9ec4268dcdd848ef82f8b6c3a20f00ac2023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-10-0120136111110.14232/ejqtde.2013.1.612400On the Dulac functions for multiply connected domainsGabriel Villaseñor-Aguilar0Osvaldo Osuna1Universidad Michoacana de san Nicolas de Hidalgo, Michoacán, MexicoInstituto de Física y Matemáticas, Universidad Michoacana, Michoacán, MexicoWe provide a method for to find Dulac functions in multiply connected domains using partial differential equations. We also present some applications and examples in order to illustrate our results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2400extended bendixson-dulac criteriondulac functionslimit cycles
spellingShingle Gabriel Villaseñor-Aguilar
Osvaldo Osuna
On the Dulac functions for multiply connected domains
Electronic Journal of Qualitative Theory of Differential Equations
extended bendixson-dulac criterion
dulac functions
limit cycles
title On the Dulac functions for multiply connected domains
title_full On the Dulac functions for multiply connected domains
title_fullStr On the Dulac functions for multiply connected domains
title_full_unstemmed On the Dulac functions for multiply connected domains
title_short On the Dulac functions for multiply connected domains
title_sort on the dulac functions for multiply connected domains
topic extended bendixson-dulac criterion
dulac functions
limit cycles
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2400
work_keys_str_mv AT gabrielvillasenoraguilar onthedulacfunctionsformultiplyconnecteddomains
AT osvaldoosuna onthedulacfunctionsformultiplyconnecteddomains