On the Dulac functions

Qualitative Theory of Dynamical Systems

Volumn 10, Issue 1, 2011, Pages 43-49

  Osuna, Osvaldo ^a   Villaseñor, Gabriel ^b  

^a UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

^b INSTITUTO TECNOLÓGICO DE MORELIA   (Mexico)

Author keywords

Bendixson Dulac criterion; Dulac functions; Quasilinear partial differential equations

Indexed keywords

EID: 84896693944     PISSN: 15755460     EISSN: 16623592     Source Type: Journal    
DOI: 10.1007/s12346-011-0036-y     Document Type: Article

References (7)

1. Bendixson, I.: Sur les curbes définiés par des équations différentielles. Acta Math. 24, 1-88 (1901)
2. Gassull, A., Giacomini, H.:Anewcriterion for controlling the number of limit cycles of some generalized Liénard equations. J. Dyn. Diff. Equ. 185, 54-73 (2002)
3. McCluskey, C.C., Muldowney, J.S.: Bendixson-Dulac criteria for difference equations. J. Dyn. Diff. Equ. 10, 567-575 (1998)
4. Lawrence Perko: Differential Equations And Dynamical Systems. Springer, Berlin (2006)
5. Polyanin, A.D., Zaitsev, V.F., Moussiaux, A.: Handbook of First Order Partial Differential Equations. Taylor and Francis, London (2002)
6. Saéz, E., Szánto, I.:Onthe construction of certain Dulac function. Trans. AutomatControl 33, 856 (1988)
7. Strogatz, S.: Nonlinear Dynamics and Chaos. Addison-Wesley, Reading (1994)