Published January 1, 2020 | Version v1
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Quasilinear differential equations with strongly unpredictable solutions

  • 1. Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkey
  • 2. Inst Informat & Computat Technol, Alma Ata 050013, Kazakhstan
  • 3. Aktobe Reg State Univ, Dept Math, Aktobe 030000, Kazakhstan

Description

The authors discuss the existence and uniqueness of asymptotically stable unpredictable solutions for some quasilinear differential equations. Two principal novelties are in the basis of this research. The first one is that all coordinates of the solution are unpredictable functions. That is, solutions are strongly unpredictable. Secondly, perturbations are strongly unpredictable functions in the time variable. Examples with numerical simulations are presented to illustrate the theoretical results.

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