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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.

MSC:

34K45 Functional-differential equations with impulses
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References:

[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, 4, 495-503, (1995) · Zbl 0841.34079
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