TW 344

C. Zhang, S. Vandewalle
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time-discretization

Abstract

We study the analytic stability of initial value problems of a general class of systems of Volterra delay-integro-differential equations. Numerical methods based on the backward differentiation formulae and a linear compound quadrature formula are suggested. The nonlinear and linear stability conditions for the presented methods are derived.

report.pdf / mailto: S. Vandewalle