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arXiv · 2111.00114

Unpredictable Solutions of Quasilinear Systems with Discontinuous Right-Hand Sides

Mehmet Onur Fen·Fatma Tokmak Fen
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Abstract

It is rigorously proved under certain assumptions that a quasilinear system with discontinuous right-hand side possesses a unique unpredictable solution. The discontinuous perturbation function on the right-hand side is defined by means of an unpredictable sequence. A Gronwall-Coppel type inequality is utilized to achieve the main result, and the stability of the unpredictable solution is discussed. Examples with exponentially asymptotically stable and unstable unpredictable solutions are provided.

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Mehmet Onur Fen, Fatma Tokmak Fen. 2021-10-29. Unpredictable Solutions of Quasilinear Systems with Discontinuous Right-Hand Sides. https://arxiv.org/abs/2111.00114

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