Liu, Kaien; Fu, Xilin Stability of functional differential equations with impulses. (English) Zbl 1118.34079 J. Math. Anal. Appl. 328, No. 2, 830-841 (2007). The authors establish some comparison theorems for functional differential equations (FDE) with impulses using several Lyapunov-Razumikhin. The comparison theorems are employed to develop sufficient conditions for stability theorems for FDE. An example is given to illustrate the usefulness and advantages of the results. Reviewer: Olusola Akinyele (Bowie) Cited in 8 Documents MSC: 34K45 Functional-differential equations with impulses 34K20 Stability theory of functional-differential equations Keywords:uniform stability; uniform asymptotic stability; Lyapunov-Razumikhin functions PDFBibTeX XMLCite \textit{K. Liu} and \textit{X. Fu}, J. Math. Anal. Appl. 328, No. 2, 830--841 (2007; Zbl 1118.34079) Full Text: DOI References: [1] Xing, Y. P.; Han, M. A., A new approach to stability of impulsive functional differential equations, Appl. Math. Comput., 151, 835-847 (2004) · Zbl 1057.34103 [2] Yan, J. R.; Shen, J. H., Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions, Nonlinear Anal., 37, 245-255 (1999) · Zbl 0951.34049 [3] Zhang, S. N., A new approach to stability theory of functional differential equations, Ann. Differential Equations, 11, 4, 495-503 (1995) · Zbl 0841.34079 [4] Ballinger, G.; Lui, X., Existence, uniqueness and boundedness results for impulsive delay differential equations, Appl. Anal., 74, 71-93 (2000) · Zbl 1031.34081 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.