Differential and Integral Equations

The partial averaging of fuzzy impulsive differential inclusions

Natalia Skripnik

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In this paper the substantiation of the method of partial averaging for fuzzy impulsive differential inclusions is considered. Such variants of the averaging method also lead to the simplification of the initial inclusion and happen to be useful when the average of some mappings does not exist or their presence in the system does not complicate its research. These results generalize the results of [24] for impulsive differential inclusions with Hukuhara derivative and of [18] for fuzzy impulsive differential equations.

Article information

Differential Integral Equations, Volume 24, Number 7/8 (2011), 743-758.

First available in Project Euclid: 27 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E72: Fuzzy set theory 34A37: Differential equations with impulses 34A60: Differential inclusions [See also 49J21, 49K21] 34C29: Averaging method


Skripnik, Natalia. The partial averaging of fuzzy impulsive differential inclusions. Differential Integral Equations 24 (2011), no. 7/8, 743--758. https://projecteuclid.org/euclid.die/1356628830

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