Geodesic
Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations
Electronic journal of differential equations, Tome 2008 (2008)
In the present paper, we study the global stability of sets of sufficiently general type with respect to impulsive functional differential equations with variable impulsive perturbations. The main results are obtained by means of piecewise continuous Lyapunov functions and the use of the Razumikhin technique.
Classification : 34K45
Keywords: global stability of sets, Lyapunov's direct method, impulsive functional differential equations 
@article{EJDE_2008__2008__a36,
     author = {Stamova,  Ivanka M. and Stamov,  Gani T.},
     title = {Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1172.34049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a36/}
}
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Stamova,  Ivanka M.; Stamov,  Gani T. Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a36/