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Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type

Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type

AKHMET, MARAT; Nugayeva, Zakhira; Çinçin, Duygu Aruğaslan; Tleubergenova, Madina
URI: http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/98109

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© 2023, SINUS Association. All rights reserved.An unpredictable solution is found for a quasilinear differential equation with generalized piece-wise constant argument (EPCAG). Sufficient conditions are provided for the existence, uniqueness and exponential stability of the unpredictable solution. The theoretical results are confirmed by examples and illustrated by simulations.

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