Unpredictable Solutions of Impulsive Quasi-Linear Systems


Akhmet M. Tleubergenova M. Nugayeva Z.
2022L and H Scientific Publishing, LLC

Discontinuity, Nonlinearity, and Complexity
2022#11Issue 173 - 89 pp.

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.

Quasilinear system Impulsive unpredictable system Discontinuous unpredictable function Discrete unpredictable set Discontinuous unpredictable solution Asymptotical stability

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Department of Mathematics, Middle East Technical University, Ankara, 06800, Turkey
Department of Mathematics, Aktobe Regional State University, Aktobe, 030000, Kazakhstan
Institute of Information and Computational Technologies, Almaty, 050010, Kazakhstan

Department of Mathematics
Department of Mathematics
Institute of Information and Computational Technologies

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