References
- D . Bainov , Yu . Domshlak and S . Milusheva . Partial averaging for impulsive differential equations with supremum . Georgian Math. J. , 3 1 11 – 26 , 1996 . doi: 10.1007/BF02256795 .
- Haddock , J.R. 1976 . Some new results on stability and convergence of solutions of ordinary and functional differential equations . Funkcial. Ekvac. , 19 : 247 – 269 .
- Hale , J. 1977 . Theory of Functional Differential Equations , Springer-Verlag, New York, Heidelberg, Berlin .
- He , Z. , Wang , P. and Ge , W. 2003 . Periodic boundary value problem for first order impulsive differential equations with supremum . Indian J. Pure Appl. Math. , 34 ( 1 ) : 133 – 143 .
- Kato , J. 1973 . On Liapunov–Razumikhin type theorems for functional differential equations . Funkcial. Ekvac. , 16 : 225 – 239 .
- V . Lakshmikantham , D.D . Bainov and P.S . Simeonov . Theory of Impulsive Differential Equations . World Scientific , Singapore, New Jersey, London , 1989 .
- Lakshmikantham , V. , Leela , S. and Martynyuk , A. 1990 . Practical Stability Analysis of Nonlinear Systems , Singapore, New Jersey, London, Hong Kong : World Scientific Publishers .
- Milusheva , S. and Bainov , D. 1991 . Averaging method for neutral type impulsive differential equations with supremums . Ann. Fac. Sci. Toulouse , 12 ( 3 ) : 391 – 403 .
- B.S . Razumikhin . Stability of Hereditary Systems . Nauka , Moscow , 1988 . (in Russian)
- J . Shen and J . Yan . Razumikhin type stability theorems for impulsive functional differential equations . Nonlinear Anal ., 33 5 519 – 531 , 1998 . doi: 10.1016/S0362-546X(97)00565-8 .
- P . Simeonov and D . Bainov . Stability with respect to part of the variables in systems with impulse effect . J. Math. Anal. Appl ., 117 1 247 – 263 , 1986 . doi: 10.1016/0022-247X(86)90259-3 .
- Stamov , G. 2009 . Almost periodic models of impulsive hopfield neural network . J. Math Kyoto Univ. , 49 ( 1 ) : 57 – 67 .
- I . Stamova . Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations . J. Math. Anal. Appl ., 325 1 612 – 623 , 2007 . doi: 10.1016/j.jmaa.2006.02.019 .
- I . Stamova . Boundedness of impulsive functional differential equations with variable impulsive perturbations . Bull. Austral. Math. Soc ., 77 2 331 – 345 , 2008 . doi: 10.1017/S0004972708000439 .
- I . Stamova and G . Stamov . Lyapunov–Razumikhin method for impulsive functional differential equations and applications to the population dynamics . J. Comput. Appl. Math ., 130 1–2 163 – 171 , 2001 . doi: 10.1016/S0377-0427(99)00385-4 .
- S . Sun and L . Chen . Dynamic behaviors of Monod type chemostat model with impulsive perturbation on the nutrient concentration . J. Math. Chem ., 42 4 837 – 848 , 2007 . doi: 10.1007/s10910-006-9144-3 .
- T . Yoshizawa . Stability Theory by Lyapunov's Second Method . The Mathematical Society of Japan , 1966 .