Lossy transmision lines terminated by RR-loads with exponential V–I characteristics

It is known that in many cases the losses in the transmission lines cannot be disregarded. Here we consider the mixed problem for a system describing a lossy transmission line terminated by a nonlinear RR-load. Most often, the V–I characteristics of the nonlinear loads are approximated by polynomials. But analysis and design of integrated electronic circuits sometimes require an approximation by exponential functions. This leads to neutral functional differential equations with exponential nonlinearities. We show of how to solve such equations by means of the fixed-point method and obtain conditions for the existence of periodic regimes of lossy transmission lines.