FULL AVERAGING SCHEME FOR IMPULSIVE DIFFERENTIAL INCLUSIONS WITH FUZZY RIGHT-HAND SIDE IN TERMS OF R-SOLUTIONS
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 2
Abstract
In the works of T. A. Komleva, A. V. Plotnikov, L. I. Plotnikova the possibility of applying the averaging method on a finite interval for differential inclusions with a fuzzy right-hand side containing a small parameter in terms of solution sets (with a transition to separate α-solutions in the proof), and in the works of N. V. Skripnik similar results were obtained for impulse differential inclusions with a fuzzy right-hand side. Later in the works of T. A. Komleva and A. V. Plotnikov the concept of R-solution of the differential inclusion with a fuzzy right-hand side was introduced and the possibility of applying the averaging method in terms of R-solutions was justified (without passing to α-solutions in the proof). In this article, these results are transferred to the impulse case, namely, the concept of R-solution is introduced and the possibility of using the full averaging scheme for impulse differential inclusions with a fuzzy right-hand side in terms of R-solutions is substantiated.
Authors and Affiliations
N. V. Skripnik
Keywords
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- EP ID EP558802
- DOI 10.18524/2519-206x.2018.2(32).149706
- Views 127
- Downloads 0
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