Comparing analytical and numerical solution of a nonlinear two-delay integral equations (Q631231)

The authors consider the numerical solution of two-delay Volterra integral equations \[ y(t) = \int^{t-\tau_1}_{t-\tau_2}k(t-\tau)g(y(\tau))d\tau, \, t \in [\tau_2, T]; \] with \(y(t) = \varphi(t),\) \(t \in [0, \tau_2],\) where \(\varphi(t)\) is a known function such that \[ \varphi(\tau_2) = \int^{\tau_2 - \tau_1}_0 k(\tau_2 - \tau)g(\varphi(\tau))d\tau. \] The stability is studied on a nonlinear test equations by carring out a parallel investigation both on the continuous and the discrete problem.