TITLE:
Oscillatory Solutions of Lossless Transmission Lines Terminated by Nonlinear Resistance and in Series Connected Inductance
AUTHORS:
Vasil G. Angelov
KEYWORDS:
Lossless Transmission Lines, Oscillatory Solution, Nonlinear Resistance, Linear Inductance, Fixed Point Method
JOURNAL NAME:
Open Access Library Journal,
Vol.4 No.9,
September
28,
2017
ABSTRACT: The present paper is devoted to the investigation of lossless transmission lines terminated by a nonlinear load with an interval of negative differential resistance and in series connected conductance. In contrast of almost all paper when i=f(u), here the case u=f(i) is considered. A general method of reducing the mixed problem to an initial value problem for neutral system on the boundary is presented. Sufficient conditions for the existence-uniqueness of an oscillatory solution are formulated. This is achieved by introducing an appropriate operator acting on suitable function space whose fixed point is an oscillatory solution of the initial value problem.