On the robust stability of Volterra differential-algebraic systems

In this paper, we deal with the robust stability of implicit differential-algebraic equations with the leading term of derivatives to be singular and the driving term to be a causal linear operator. First, we consider the solvability of linear and nonlinear equations and then investigate the robustness of this system under small perturbations. An $ L_p $ version of Bohl-Perron Theorems for these equations is also studied.