Unpredictable solutions of compartmental quasilinear differential equations


Akhmet M. Tleubergenova M. Zhamanshin A.
2024SINUS Association

Carpathian Journal of Mathematics
2024#40Issue 11 - 13 pp.

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.

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

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DEPARTMENT OF MATHEMATICS, MIDDLE EAST TECHNICAL UNIVERSITY, ANKARA, 06800, Turkey
DEPARTMENT OF MATHEMATICS, KTOBE REGIONAL STATE UNIVERSITY, AKTOBE, 030000, Kazakhstan

DEPARTMENT OF MATHEMATICS
DEPARTMENT OF MATHEMATICS

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