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

Date

2023-01-01

Author

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

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

Subject Keywords

delayed and advanced argument, exponential stability, piecewise constant argument of generalized type, Poincaré chaos, quasilinear differential equation, unpredictable solution

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85144134210&origin=inward
https://hdl.handle.net/11511/101592

Journal

Carpathian Journal of Mathematics

DOI

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

Collections

Department of Mathematics, Article

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Citation Formats

M. Tleubergenova, D. A. Çinçin, Z. Nugayeva, and M. Akhmet, “Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type,” Carpathian Journal of Mathematics, vol. 39, no. 1, pp. 265–280, 2023, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85144134210&origin=inward.