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.
Vasil G. Angelov
Department of Mathematics, University of Mining and Geology “St. I. Rilski”, 1700 Sofia, Bulgaria.