Quasilinear differential equations with strongly unpredictable solutions

Date

2020-01-01

Author

Akhmet, Marat
Zhamanshin, Akylbek

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The authors discuss the existence and uniqueness of asymptotically stable unpredictable solutions for some quasilinear differential equations. Two principal novelties are in the basis of this research. The first one is that all coordinates of the solution are unpredictable functions. That is, solutions are strongly unpredictable. Secondly, perturbations are strongly unpredictable functions in the time variable. Examples with numerical simulations are presented to illustrate the theoretical results.

Subject Keywords

Oscillations, Strongly unpredictable perturbations, Strongly unpredictable solutions, Unpredictable solutions, Asymptotical stability

URI

https://hdl.handle.net/11511/54473

Journal

CARPATHIAN JOURNAL OF MATHEMATICS

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet and A. Zhamanshin, “Quasilinear differential equations with strongly unpredictable solutions,” CARPATHIAN JOURNAL OF MATHEMATICS, pp. 341–349, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54473.