Ulam-Hyers Stabilities of Impulsive Time-Delay Semi Linear Systems with Non-Permutable Matrices
2021
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Advisor: Nazım (Supervisor) Mahmudov
Abstract (EN)
In this work, asymptotic and Ulam-Hyers stabilities in two cases linear and nonlinear time-delay systems of linear impulsive constrains are studied. The linear parts of the impulsive systems are defined by non-permutable matrices. To obtain solution for linear impulsive delay systems with non-permutable matrices in explicit form, current notion of impulsive delayed matrix exponential is presented. Using the representation formula and norm estimation of impulsive delayed matrix exponential, sufficient conditions for the asymptotic and Ulam-Hyers stabilities are obtained.
Author
Dr. Amal Mohammad Ata Almatarneh
How to Cite
Amal Mohammad Ata Almatarneh (Doctorate thesis). Ulam-Hyers Stabilities of Impulsive Time-Delay Semi Linear Systems with Non-Permutable Matrices, 2021, Eastern Mediterranean University, Department of Mathematics.
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