Second method of Lyapunov and comparison principle for impulsive differential-difference equations

Journal of the Australian Mathematical Society Series B-Applied Mathematics

Volumn 38, Issue 4, 1997, Pages 489-505

  Bainov, D D ^a   Stamova, I M ^b  

^a MEDICAL UNIVERSITY OF SOFIA   (Bulgaria)

^b TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007093189     PISSN: 03342700     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0334270000000825     Document Type: Review

References (8)

1. D. D. Bainov, V. C. Covachev and I. M. Stamova, "Stability under persistent disturbances of impulsive differential-difference equations of neutral type", J. Math. Anal. Appl., (to appear).
2. D. D. Bainov and P. S. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications Ellis Horwood Ltd., Chichester, (1989).
3. P. Bhatia and V. Lakshmikantham, "An extension of Lyapunov's direct method", Mich. Math. J. 12 (1965) 183-191.
4. G. K. Kulev and D. D. Bainov, "Lipschitz stability of impulsive systems of differential equations", Dynamics and Stability of Systems 8 (1993) 1-17.
5. V. Lakshmikantham, D. D. Bainov and P. S. Simeonov, Theory of Impulsive Differential Equations World Scientific Publishers, Singapore, (1989).
6. V. D. Mil'man and A. D. Myshkis, "On the stability of motion in the presence of impulses", Siberian Math. J. 1 (1960) 233-237, (in Russian).
7. P. S. Simeonov and D. D. Bainov, "Stability with respect to part of the variables in systems with impulse effect", J. Math. Anal. Appl. 117 (1986) 247-263.
8. J. Vasundhara Devi, "A variation of the Lyapunov second method to impulsive differential equations", J. Math. Anal. Appl. 117 (1993) 190-200.