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Full averaging of fuzzy impulsive differential inclusions. (English) Zbl 1413.34004

Summary: In this paper, the justification of the method of full averaging for fuzzy impulsive differential inclusions is studied. We extend similar results for impulsive differential inclusions with Hukuhara derivative [the author, Nonlinear Oscil., N.Y. 10, No. 3, 422–438 (2007; Zbl 1268.34039); translation from Nelinijni Kolyvannya 10, No. 3, 416–432 (2007)], for fuzzy impulsive differential equations [A. V. Plotnikov and the author, Asymptotical methods. Odessa: Astroprint (2009)], and for fuzzy differential inclusions [the author, Iranian J. Optim. 1, No. 3, 302–317 (2009)].

MSC:

34A07 Fuzzy ordinary differential equations
34A37 Ordinary differential equations with impulses
34A60 Ordinary differential inclusions
34C29 Averaging method for ordinary differential equations

Citations:

Zbl 1268.34039