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Zbl 0879.34014
Rogovchenko, Yuri V.
Impulsive evolution systems: Main results and new trends. (English)
[J] Dyn. Contin. Discrete Impulsive Syst. 3, No.1, 57-88 (1997). ISSN 1201-3390

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.
[S.Aizicovici (Athens/Ohio)]

MSC 2000:: *34A37 Differential equations with impulses
34G20 Nonlinear ODE in abstract spaces
34-02 Research monographs (ordinary differential equations)

Keywords: abstract impulsive evolution systems; impulsive parabolic equations

Cited in: Zbl 1006.35055 Zbl 0927.34008

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