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- W2619753260 abstract "This paper gives an overview of results on delay impulsive equations which have been obtained during the last two decades. In particular, we discuss existence of solutions and continuous dependence on parameters for the abstract linear functional differential equation with general boundary conditions) the exponential dichotomy for linear delay impulsive equations, as well as explicit stability results. Linear impulsive conditions of a more general (integral) type are also considered. For simplest linear impulsive conditions, it is demonstrated how the study of oscillation and some other properties of impulsive equations can be reduced to investigation of some nonimpulsive equation. The linearized theory is reviewed for nonlinear equations with linear impulsive conditions. Finally, nonlinear impulsive conditions are discussed and some open problems are presented." @default.
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- W2619753260 date "2004-10-05" @default.
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- W2619753260 title "Impulsive equations: overview and open problems" @default.
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