Further Results On Ulam Stability For A System Of First-Order Nonsingular Delay Differential Equations

DEMONSTRATIO MATHEMATICA(2020)

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摘要
This paper is concerned with a system governed by nonsingular delay differential equations. We study the beta-Ulam-type stability of the mentioned system. The investigations are carried out over compact and unbounded intervals. Before proceeding to the main results, we convert the system into an equivalent integral equation and then establish an existence theorem for the addressed system. To justify the application of the reported results, an example along with graphical representation is illustrated at the end of the paper.
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关键词
delayed exponential matrix, delay differential system, representation of solutions, beta-Hyers-Ulam-Rassias stability
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