TY - JOUR
T1 - A note on the existence and construction of Dulac functions
AU - Osuna, Osvaldo
AU - Rodríguez-Ceballos, Joel
AU - Vargas-De-león, Cruz
AU - Villaseñor-Aguilar, Gabriel
N1 - Publisher Copyright:
© Vilnius University, 2017.
PY - 2017
Y1 - 2017
N2 - In this paper, we construct Dulac functions for a family of planar differential equations. We provide some conditions on the components of a vector field, which ensure the existence of Dulac functions for such vector field. We also present some applications and examples in biomathematical models to illustrate our results.
AB - In this paper, we construct Dulac functions for a family of planar differential equations. We provide some conditions on the components of a vector field, which ensure the existence of Dulac functions for such vector field. We also present some applications and examples in biomathematical models to illustrate our results.
KW - Bendixson–Dulac criterion
KW - Dulac functions
KW - Limit cycles
UR - http://www.scopus.com/inward/record.url?scp=85021307078&partnerID=8YFLogxK
U2 - 10.15388/NA.2017.4.1
DO - 10.15388/NA.2017.4.1
M3 - Artículo
SN - 1392-5113
VL - 22
SP - 431
EP - 440
JO - Nonlinear Analysis: Modelling and Control
JF - Nonlinear Analysis: Modelling and Control
IS - 4
ER -