Algorithmes Stability Tests for Certain Delay Integral Equations of Volterra Type

Abstract In this paper we present four algorithmic stability tests and include several examples for certain values of the parameters of the following delay integral equation of Volterra type:

where r > 0 is constant and 0 ^ a ^ 1. The aim of this study was to understand the effect of the delay on the asymptotic stability of the solution of Volterra integral equations. As such the parameters a and 1-a appear with the same kernel in both integrals of the equation.