On the existence of almost periodic lyapunov functions for impulsive differential equations

Zeitschrift für Analysis und ihre Anwendungen

Volumn 19, Issue 2, 2000, Pages 561-573

  Stamov, G T ^a  

^a TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

Almost periodic functions; Impulsive differential equations

Indexed keywords

EID: 23044520407     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Samoilenko, A. M. and N. A. Perestyuk: Differential Equations with Impulse Effect (in Russian). Kiev: Visca Skola 1987.
2. Stamov, G. T.: Almost periodic solutions for impulsive integro-differential equations. Appl. Anal. 64 (1997), 319 - 327.
3. Bainov, D. and P. Simeonov: Systems with Impulse Effect: Stability, Theory and Applications. Chichester: Ellis Horwood 1989.
4. Bainov, D. D., Myshkis, A. D. and G. T. Stamov: Dichotomies and almost periodicity of the solutions of systems of impulsive differential equations. Dyn. Systems Appl. 5 (1996), 145 - 152.
5. Bainov, D. D., Dishliev, A. B. and G. T. Stamov: Almost periodic solutions of hyperbolic systems of impulsive differential equations. Kumamoto J. Math. 10 (1997), 1 - 10.
6. Massera, J. L.: Contributions to stability theory. Ann. Math. 64 (1956), 182 - 206.
7. Lakshmikantham, V., Bainov, D. D. and P. S. Simeonov: Theory of Impulsive Differential Equations. Singapore: World Sci. 1989.
8. Yoshizawa, T.: Stability Theory by Lyapunov's Second Method. Tokyo: Math. Soc. of Japan 1966.