Unpredictable Solutions of Impulsive Quasi-Linear Systems

Date

2022-01-01

Author

Akhmet, Marat
Tleubergenova, Madina
Nugayeva, Zakhira

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This work is licensed under a 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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Citation Formats

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.