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Impulsive evolution systems: Main results and new trends. (English) Zbl 0879.34014
This is a survey of recent results (mostly due to the author and his collaborators) on abstract impulsive evolution systems. The main questions under consideration are existence and uniqueness, continuous dependence on initial data, and the stability of solutions. Applications to impulsive parabolic equations are also presented.

MSC:
34A37 Ordinary differential equations with impulses
34G20 Nonlinear differential equations in abstract spaces
34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations
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