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A new approach to stability of impulsive functional differential equations. (English) Zbl 1057.34103
The authors develop a new technique to study stability of impulsive functional-differential equations. This technique allows them to construct suitable Lyapunov functions.

34K45Functional-differential equations with impulses
Full Text: DOI
[1] Ballinger, G.; Lui, X.: Existence, uniqueness and boundedness results for impulsive delay differential equations. Applicable analysis 74, 71-93 (2000) · Zbl 1031.34081
[2] Bainov, D. D.; Kulev, G.; Staova, I.: Globle stability of solutions of impusive differential-difference equations. SUT J. Math. 31, 55-71 (1995)
[3] Yu, J. S.; Zhang, B. G.: Stability theorem for delay differential equations with impulses. J. math. Anal. appl. 199, 162-175 (1996) · Zbl 0853.34068
[4] Sheng, Jianhua; Yan, Jurang: Razumikhin-type stability theorems for impulsive functional differential equations. Nonlinear anal. 33, 519-537 (1998) · Zbl 0933.34083
[5] Zhang, Shunian: A new approach to stability theory of functional differential equations. Ann. differential equations 11, No. 4, 495-503 (1995) · Zbl 0841.34079