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

Description

An unpredictable solution is found for a quasilinear differential equation with generalized piecewise 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.

 

 

Additional information

Author(s)

  Çinçin, Duygu Aruğaslan,  Nugayeva, Zakhira,  Tleubergenova, Madina, Akhmet, Marat

DOI

https://doi.org/10.37193/CJM.2023.01.18