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 |