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Unpredictable Solutions of Impulsive Quasi-Linear Systems
Date
2022-01-01
Author
Akhmet, Marat
Tleubergenova, Madina
Nugayeva, Zakhira
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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© 2022. L&H Scientific Publishing, LLC. All Rights Reserved.The impulsive differential equations with unpredictable perturbations are under investigation. The definition of the discontinuous unpredictable function with the discrete unpredictable set of discontinuity moments is introduced. The existence and uniqueness of asymptotically stable discontinuous unpredictable solutions for quasi linear systems are proved. Examples with simulations are given to illustrate the results.
Subject Keywords
Quasilinear system Impulsive unpredictable system Discontinuous unpredictable function Discrete unpredictable set Discontinuous unpredictable solution Asymptotical stability
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85119127273&origin=inward
https://hdl.handle.net/11511/97560
Journal
Discontinuity, Nonlinearity, and Complexity
DOI
https://doi.org/10.5890/dnc.2022.03.006
Collections
Department of Mathematics, Article
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M. Akhmet, M. Tleubergenova, and Z. Nugayeva, “Unpredictable Solutions of Impulsive Quasi-Linear Systems,”
Discontinuity, Nonlinearity, and Complexity
, vol. 11, no. 1, pp. 73–89, 2022, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85119127273&origin=inward.
