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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Unpredictable Solutions of Impulsive Quasi-Linear Systems

Discontinuity, Nonlinearity, and Complexity 11(1) (2022) 73--89 | DOI:10.5890/DNC.2022.03.006

Marat Akhmet$^1$ , Madina Tleubergenova$^{2,3}$, Zakhira Nugayeva$^{2,3}$

$^1$ Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey

$^2$ Department of Mathematics, Aktobe Regional State University, 030000, Aktobe, Kazakhstan

$^3$ Institute of Information and Computational Technologies, 050010, Almaty, Kazakhstan

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Abstract

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.

Acknowledgments

M. Akhmet has been supported by 2247-A National Leading Researchers Program of TUBITAK, Turkey, N 120C138.

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