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Quasilinear differential equations with strongly unpredictable solutions
Date
2020-01-01
Author
Akhmet, Marat
Zhamanshin, Akylbek
Metadata
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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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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.