• Corpus ID: 119118328

Unpredictable solutions of differential equations

@article{Akhmet2016UnpredictableSO,
  title={Unpredictable solutions of differential equations},
  author={Marat U. Akhmet and Mehmet Onur Fen},
  journal={arXiv: Chaotic Dynamics},
  year={2016}
}
We apply the topology of convergence on compact sets to define unpredictable functions [5, 6]. The topology is metrizable and easy for applications with integral operators. To demonstrate the effectiveness of the approach, the existence and uniqueness of the unpredictable solution for a delay differential equation is proved. As a corollary of the theorem, a similar assertion for a quasilinear ordinary differential equation is formulated. Examples with simulations illustrate the obtained results… 
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