Uncertain impulsive differential-difference equations and stability of moving invariant manifolds

Journal of Mathematical Sciences

Volumn 161, Issue 2, 2009, Pages 320-326

  Stamov, G ^a  

^a BURGAS FREE UNIVERSITY   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70349408095     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-009-9555-3     Document Type: Article

References (10)

1. D. Bainov, S. Kostadinov, and Nguyen van Min, Dichotomies and Integral Manifolds of Impulsive Differential Equations, SCT Publishing, Singapore (1994).
2. D. Bainov and I. M. Stamova, Vector Lyapunov functions and conditional stability for systems of impulsive differential-diffrence equations, ANZIAM J., 42, 341-353 (2001).
3. D. Bainov, A. B. Dishliev, I. M. Stamova, Continuous dependence of solutions of impulsive systems of differential-diference equations on initial data and on parameter, Bol. Soc. Paran. Mat. (2s), 18, No. 1/2, 21-34 (1998).
4. V. Lakshmikantham, S. Leela, and A. A. Martynyuk, Stability Analysis of Nonlinear Systems, Marcel Dekker, New York (1989).
5. V. Lakshmikantham, S. Leela, and A. A. Martynyuk, Practical Stability of Nonlinear Systems, World Scientific Publishing, Singapore (1990).
6. V. Lakshmikantham and A. S. Vatsala, Stability of moving invariant sets, Stability Control Theory Methods Appl., 5, 79-83 (1997).
7. G. R. Shendge, A new approach to the stability theory of functional differential equations, J. Math. Anal. Appl., 95, 319-334 (1983).
8. D. D. Siljak, M. Ikeda, and Y. Ohta, Parametric Stability, Proccedings Universita di Genova-Ohio State University Joint Conference, Birkhauser (1991), pp. 1-20.
9. I. M. Stamova and G. Stamov, Lyapunov-Razumikhin method for impulsive functional differential equations and applications to population dynamics, J. Comput. Appl. Math., 130, 163-171 (2001).
10. A. S. Vatsala and S. G. Deo, Stability of moving invariant sets for functional differential systems, Int. J. Nonlinear Diff. Equ.: Theory, Meth. Appl., 3, 179-186 (1997).