Existence of limit cycles of impulsive differential equations with impulses at variable times

Nonlinear Analysis, Theory, Methods and Applications

Volumn 44, Issue 3, 2001, Pages 345-353

  Qi, Jiangang ^a   Fu, Xilin ^a  

^a SHANDONG NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS;

IMPULSIVE DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 0035314072     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00268-0     Document Type: Article

References (6)

1. Ere L.H., Freedman H.I., Liu X., Wu J.H. Comparison principles for impulsive parabolic equations with applications to models of single species growth. J. Austral. Math. Soc. Ser. B. 32:1991;382-400.
2. X. Fu, X. Liu, Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations, Appl. Math. Comput., in press.
3. X. Fu, J. Qi, Y. Liu, The existence of periodic orbits for nonlinear impulsive differential systems, Communications in Nonlinear Science & Numerical Simulation 4 (1) (1999), 50-53.
4. V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
5. Lakshmikantham V., Liu X. Stability criteria for impulsive differential equations in terms of two measures. J. Math. Anal. Appl. 137:1989;591-604.
6. Liu X. Further extensions of the direct method and stability of impulsive systems. Nonlinear World. 1:1994;341-354.