Stability criteria of impulsive differential systems

Applied Mathematics and Computation

Volumn 134, Issue 2-3, 2002, Pages 445-457

  Soliman, A A ^a  

^a BENHA UNIVERSITY   (Egypt)

Author keywords

Asymptotic eventual stability; Eventual stability; Impulsive systems; Uniform asymptotic eventual stability; Uniform eventual stability

Indexed keywords

EID: 0037169626     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00293-4     Document Type: Article

References (7)

1. D.D. Bainov P.S. Simeonov Differentiability of solutions of systems with impulse effect with respect to initial data and parameter Bull. Inst. Math. Acad. Sci. 15 1987 251 269
2. D.D. Bainov P.S. Simeonov Systems with impulse effect Stability Theory and Applications 1989 Ellis Horwood Chichester, UK
3. G.K. Kulev D.D. Bainov On the asymptotic stability of systems with impulses by the direct method of Lyapunov J. Math. Anal. Appl. 140 1989 324 340
4. V. Lakshmikantham S. Leela Cone-valued Lyapunov functions Nonlinear Anal. Theory, Methods and Appl. 1 3 1977 215 222
5. V. Lakshmikantham D.D. Bainov P.S. Simeonov Theory of Impulsive Differential Equations 1989 World Scientific Singapore
6. V. Lakshmikantham, S. Leela, Differential and integral inequalities, vol. I, New York, 1969
7. A.M. Somoilenko N.A. Perslyuk Differential Equations with Impulse Effect 1987 Visca Skala Kiev