Stability of the solutions of impulsive functional-differential equations by lyapunov’s direct method

ANZIAM Journal

Volumn 43, Issue 2, 2001, Pages 269-278

  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: 0242480149     PISSN: 14461811     EISSN: None     Source Type: Journal    
DOI: 10.1017/S1446181100013067     Document Type: Article

References (7)

1. D.D. Bainov, V. C. Covachev and I. M. Stamova, "Estimates of the solutions of impulsive quasilinear functional differential equations", Ann. Fac. Sei. de Toulouse 2 (1991) 149-161.
2. 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. 187 (1994) 790-808.
3. D.D. Bainov, G. K. Kulev and I. M. Stamova, "Global stability of the solutions of impulsive differential-difference equations", SUTJ. of Math. 31 (1995) 55-71.
4. D.D. Bainov and P. S. Simeonov, Systems with impulse effect: stability, theory and applications (Ellis Horwood, Chichester, 1989).
5. V. Lakshmikantham, "Functional differential systems and extension of Lyapunov's method", J. Math. Anal. Appl. 8 (1964) 392-405.
6. V. Lakshmikantham, S. Leela and A.A. Martynyuk, Stability analysis of nonlinear systems (Marcel Dekker, New York. 1989).
7. B.S. Razumikhin, Stability of systems with retardation, in Russian (Nauka, Moscow, 1988).