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Further results on Ulam stability for a system of first-order nonsingular delay differential equations

Zada Akbar, Pervaiz Bakhtawar, Alzabut Jehad, Shah Syed Omar

Demonstratio Mathematica

2020

Vol. 53, nr 1

225--235

This paper is concerned with a system governed by nonsingular delay differential equations. We study the β-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.