On the existence, uniqueness, and analysis of asymptotic stability properties of the solution of retarded differential systems. – D. K. Igobi, M. O. Egwurube W. A. Adesola
The special transcendental character of the characteristic equations of the retarded differential system makes it difficult to analyze such systems. Researchers have used various acceptable mathematical techniques to address the issue. In this paper, the convergent properties of an integral equation equivalent of a retarded system were used to establish the existence and uniqueness of the solution of retarded differential equations. A numerical approximating technique was employed in solving the initial value problem of the retarded system and the solution is presented in the form of a finite series. The asymptotic stability properties of this solution were investigated.