Stability implications of Bendixson's criterion

SIAM Review

Volumn 40, Issue 4, 1998, Pages 931-934

  Mccluskey, C Connell ^a   Muldowney, James S ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Bendixson's criterion; Omega limit set

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; TWO DIMENSIONAL;

BENDIXSON'S CRITERION;

DIFFERENTIAL EQUATIONS;

EID: 0032303340     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144597328444     Document Type: Article

References (4)

1. P. HARTMAN, Ordinary Differential Equations, John Wiley & Sons, New York, 1964.
2. M. Y. LI AND J. S. MULDOWNEY, On R. A. Smith's autonomous convergence theorem, Rocky Mountain J. Math., 25 (1995), pp. 365-379.
3. R. A. SMITH, Some applications of Hausdorff dimension inequalities for ordinary differential equations, Proc. Roy. Soc. Edinburgh Sec. A, 104 (1986), pp. 235-259.
4. F. VERHULST, Nonlinear Differential Equations and Dynamical Systems, Epsilon Uitgaven, Utrecht, 1985.