Unpredictable solutions of compartmental quasilinear differential equations

Date

2024-01-01

Author

Akhmet, Marat
Tleubergenova, Madina
Zhamanshin, Akylbek

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In the present research, quasilinear differential equations with compartmental periodic unpredictable coefficients and perturbations are investigated. The compartmental periodic unpredictable functions present a new type of recurrency. The problem of existence and uniqueness of unpredictable solutions is studied for the systems. Numerical simulations which illustrate chaotic and periodic behavior in outputs of the dynamics are provided.

Subject Keywords

compartmental periodic unpredictable functions, degree of periodicity, kappa property, quasilinear differential equations, unpredictable functions

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85177807434&origin=inward
https://hdl.handle.net/11511/107983

Journal

Carpathian Journal of Mathematics

DOI

https://doi.org/10.37193/cjm.2024.01.01

Collections

Department of Mathematics, Article

Citation Formats

M. Akhmet, M. Tleubergenova, and A. Zhamanshin, “Unpredictable solutions of compartmental quasilinear differential equations,” Carpathian Journal of Mathematics, vol. 40, no. 1, pp. 1–13, 2024, Accessed: 00, 2024. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85177807434&origin=inward.