Non-uniform Lossless Transmission Lines Terminated by L-Load in Series Connected to Parallel Connected GL-Loads

The paper analyses non-uniform transmission lines terminated by nonlinear loads situated as follows: GC-loads
are connected parallel and L-load is connected in series to them (Fig. 1). First, we formulate boundary
conditions for a lossless transmission line system on the basis of the Kirchhoff’s law. Then, we reduce the
mixed problem for the system in question to initial value problem for a neutral system on the boundary. We
introduce an operator in a suitable function space whose fixed point is an оscillatory solution of the system on
the boundary. The obtained conditions are easily verifiable. We demonstrate the advantages of our method in
Numerical example.