Oscillations in Lossy Transmission Lines Terminated By Exponential R-Load

Vol. 1 No. 4

Year: 2012

 
Issue: Oct-Dec

Title : Oscillations in Lossy Transmission Lines Terminated By Exponential R-Load  

Author Name : Vasil Angelov, Dafinka Angelova

Synopsis :

This present paper is devoted to investigation of lossy transmissions lines terminated by a nonlinear resistive element. The transmission line is terminated by an R-element with exponential nonlinearity in the V-I characteristic. The reducing of the mixed problem for Telegrapher hyperbolic system to an initial value problem for a nonlinear neutral equation on the boundary is made in [3]. The nonlinearity in the boundary condition is transferred to the neutral equation on the boundary. Then we introduce a suitable operator whose fixed point is an oscillatory solution of the neutral equation. The main existence-uniqueness theorem contains conditions which guarantee that the operator mentioned is contractive one in a uniform space. Finally, we demonstrate how to apply the results obtained to the circuit design.