On the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations

Journal of Mathematical Analysis and Applications

Volumn 200, Issue 2, 1996, Pages 272-288

  Bainov, Drumi D ^a   Stamova, Ivanka M ^b  

^a MEDICAL UNIVERSITY OF SOFIA   (Bulgaria)

^b TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030159763     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0204     Document Type: Article

References (14)

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2. 2. D. D. Bainov and A. B. Dishliev, "Beating," quasiuniqueness, uniqueness and continuability of the solutions of impulsive functional differential equations, to appear.
3. 3. D. D. Bainov and P. S. Simeonov, "Systems with Impulse Effect: Stability, Theory and Applications," Ellis Horwood, Chichester, 1989.
4. 4. G. K. Kulev and D. D. Bainov, Stability of the solutions of impulsive integro-differential equations in terms of two measures, Int. J. System Sci. 21 (1990), 2225-2239.
5. 5. V. Lakshmikantham, Lyapunov function and a basic inequality in delay-differential equations, Arch. Rational Mech. Anal. 10 (1962), 305-310.
6. 6. V. Lakshmikantham, Functional differential systems and extension of Lyapunov's method, J. Math. Anal. Appl. 8 (1964), 392-405.
7. 7. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, "Theory of Impulsive Differential Equations," World Scientific, Singapore, 1989.
8. 8. V. Lakshmikantham, S. Leela, and A. A. Martynyuk, "Practical Stability of Nonlinear Systems," World Scientific, Singapore, 1990.
9. 9. V. Lakshmikantham, V. M. Matrosov, and S. Sivasundaram, "Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems," Kluwer Academic, Dordrecht, 1991.
10. 10. A. A. Martynyuk, "Practical Stability of Motion," Naukova Dumka, Kiev, 1983. [Russian]
11. 11. A. A. Martynyuk, Practical stability conditions for hybrid systems, in 12th World Congress of IMACS, Paris, 1988, pp. 344-347.
12. 12. A. A. Martynyuk, On practical stability of hybrid systems, Appl. Mech. 25 (1989), 101-107. [Russian]
13. 13. B. S. Razumikhin, "Stability of Systems with Retardation," Nauka, Moskow, 1988 [Russian].
14. 14. P. S. Simeonov and D. D. Bainov, Estimates for the Cauchy matrix of perturbed linear impulsive equations, Chinese J. Math 1 (1993), 73-80.