Razumikhin type theorems for functional differential equations with impulses

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 6, Issue 3, 1999, Pages 389-400

  Wen, Li Zhi ^a   Chen, Yong Shao ^a  

^a SOUTH CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347039266     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. V. Lakshimkaathain, Lizhi Wen and Binggen zhang, Theory of Differential Equations with Unbounded Delay, Kluwer Acad Publ, Dordrecht, 1994.
2. J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer-Verlag, New York, 1994.
3. V. Lakshmikantham and S. Leela, A technique in stability theory of delay differential equations, Nonlinear Anal., TMA 3(1979), 317-323.
4. Lizhi Wen and Huaxing Xia, The weakly exponentially asymptotic stability of functional differential equations, Chinese Science (A), 3(1992), 235-242.
5. K. Kulev and D.D. Bainov, On the asymptoticstability of systems with impulses by the direct method of Lyapunov, J. Math. Anal. Appl., 140(1989), 324-340.
6. A. Anokhin, L. Berezansky and E. Braverman, Exponential stability of linear delay impulsive differential equations, J. Math. Anal. Appl., 193(1995), 923-941.
7. M. Rama Mohana Rao, S.K. Srivastava and S. Sivasundaram, Stability of Volterra integro differential equations with impulsive effect, J. Math. Anal. Appl., 163(1992),47-59.
8. D.D. Bainov, V.C. Covachev and I.M. Stamova, Stability under persistent disturbances of impulsive differential difference equations of neutral type, J. Matm. Anal. Appl., 1876(1994),790-808.
9. J.K. Hale, Ordinary Differential Equations, Wiley-Interscience, New York, 1969.
10. V. Lakshmikantham, D.D. Bainov and P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.