Zhang, Yu; Sun, Jitao Stability of impulsive infinite delay differential equations. (English) Zbl 1125.34345 Appl. Math. Lett. 19, No. 10, 1100-1106 (2006). Using new Lyapunov functions technique developed by Shunian Zhang the authors study the stability for impulsive differential equations with infinite delays. Some known results are improved. Reviewer: Leonid Berezanski (Beer-Sheva) Cited in 20 Documents MSC: 34K45 Functional-differential equations with impulses 34K20 Stability theory of functional-differential equations Keywords:impulsive differential equation; stability; infinite delay PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{J. Sun}, Appl. Math. Lett. 19, No. 10, 1100--1106 (2006; Zbl 1125.34345) Full Text: DOI OpenURL References: [1] Zhang, S.N., A new technique in stability of infinite delay differential equations, Comput. math. appl., 44, 1275-1287, (2002) · Zbl 1072.34082 [2] Yang, T., Impulsive control, IEEE trans. automat. control, 44, 1081-1083, (1999) · Zbl 0954.49022 [3] Yang, T., Impulsive systems and control: theory and applications, (2001), Nova Science Publishers, Inc. Huntington, NY [4] Shen, J.H., Razumikhin techniques in impulsive functional differential equations, Nonlinear anal., 36, 119-130, (1999) · Zbl 0939.34071 [5] Liu, X.Z.; Ballinger, G., Uniform asymptotic stability of impulsive delay differential equations, Comput. math. appl., 41, 903-915, (2001) · Zbl 0989.34061 [6] Luo, Z.G.; Shen, J.H., New Razumikhin type theorems for impulsive functional differential equations, Appl. math. comput., 125, 375-386, (2002) · Zbl 1030.34078 [7] Soliman, A.A., Stability criteria of impulsive differential systems, Appl. math. comput., 134, 445-457, (2003) · Zbl 1030.34046 [8] Sun, J.T.; Zhang, Y.P., Stability analysis of impulsive control systems, IEEE proc. control theory appl., 150, 4, 331-334, (2003) [9] Sun, J.T.; Zhang, Y.P., Impulsive control of a nuclear spin generator, J. comput. appl. math., 157, 1, 235-242, (2003) · Zbl 1051.93086 [10] Zhang, Y.; Sun, J.T., Boundedness of the solutions of impulsive differential systems with time-varying delay, Appl. math. comput., 154, 1, 279-288, (2004) · Zbl 1062.34091 [11] Sun, J.T.; Zhang, Y.P.; Wu, Q.D., Less conservative conditions for asymptotic stability of impulsive control systems, IEEE trans. automat. control, 48, 5, 829-831, (2003) · Zbl 1364.93691 [12] Kou, C.H.; Zhang, S.N.; Wu, S.J., Stability analysis in terms of two measures for impulsive differential equations, J. London math. soc., 66, 1, 142-152, (2002) · Zbl 1026.34013 [13] Cuevas, C.; Pinto, M., Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay, Comput. math. appl., 42, 3-5, 671-685, (2001) · Zbl 1002.39007 [14] Liang, J.; Xiao, T.J.; van Casteren, J., A note on semilinear abstract functional differential and integrodifferential equations with infinite delay, Appl. math. lett., 17, 4, 473-477, (2004) · Zbl 1082.34543 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.