Published January 1, 2023 | Version v1
Journal article Open

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

  • 1. K Zhubanov Aktobe Reg Univ, Dept Math, Aktobe 030000, Kazakhstan
  • 2. Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkiye
  • 3. Inst Informat & Computat Technol, Dept Math, Alma Ata 050013, Kazakhstan
  • 4. Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkiye

Description

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 exponen-tial stability of the unpredictable solution. The theoretical results are confirmed by examples and illustrated by simulations.

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