On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction

Authors : Ljubomir P GEORGİEV

Pages : 30-45

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Publication Date : 2018-04-25

Article Type : Research Paper

Abstract :The present paper is devoted to the investigation of lossless transmission lines with Josephson junction. Such lines are described by first order nonlinear hyperbolic system partial differential equations. We consider the mixed problem for this system with boundary conditions generated by a circuit corresponding to Josephson junction formulated by V. Angelov. We present the mixed problem in an operator form and obtain a suitable sequence converging to a continuous solution.
Keywords : transmission lines, Josephson junction, nonlinear hyperbolic system, mixed problem