Mixed-type circuits with distributed and lumped parameters

The authors deal with qualitative properties of a large class of circuits in which the distributed-parameter rcg lines and lumped capacitors are connected by a linear resistive lumped multiport. They prove that for a large variety of time varying sources (of engineering significance), for inconsistent and nonsmooth initial conditions, and for a resistive multiport described by a positive definite matrix, it is possible to define precisely a solution of the mathematical model and to assure that this solution is unique, depends continuously on initial conditions and sources and has an asymptotic stability property