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

#### Ljubomir P. GEORGİEV [1]

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.

transmission lines, Josephson junction, nonlinear hyperbolic system, mixed problem
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Primary Language en Articles Author: Ljubomir P. GEORGİEV Institution: University of Mining and Geology St. I. Rilski''Country: Bulgaria Publication Date : April 25, 2018
 Bibtex @research article { rna418446, journal = {Results in Nonlinear Analysis}, issn = {}, eissn = {2636-7556}, address = {}, publisher = {Erdal KARAPINAR}, year = {2018}, volume = {1}, pages = {30 - 45}, doi = {}, title = {On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction}, key = {cite}, author = {Georgi̇ev, Ljubomir P.} } APA Georgi̇ev, L . (2018). On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction . Results in Nonlinear Analysis , 1 (1) , 30-45 . Retrieved from https://dergipark.org.tr/en/pub/rna/issue/36561/418446 MLA Georgi̇ev, L . "On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction" . Results in Nonlinear Analysis 1 (2018 ): 30-45 Chicago Georgi̇ev, L . "On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction". Results in Nonlinear Analysis 1 (2018 ): 30-45 RIS TY - JOUR T1 - On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction AU - Ljubomir P. Georgi̇ev Y1 - 2018 PY - 2018 N1 - DO - T2 - Results in Nonlinear Analysis JF - Journal JO - JOR SP - 30 EP - 45 VL - 1 IS - 1 SN - -2636-7556 M3 - UR - Y2 - 2018 ER - EndNote %0 Results in Nonlinear Analysis On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction %A Ljubomir P. Georgi̇ev %T On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction %D 2018 %J Results in Nonlinear Analysis %P -2636-7556 %V 1 %N 1 %R %U ISNAD Georgi̇ev, Ljubomir P. . "On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction". Results in Nonlinear Analysis 1 / 1 (April 2018): 30-45 . AMA Georgi̇ev L . On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction. RNA. 2018; 1(1): 30-45. Vancouver Georgi̇ev L . On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction. Results in Nonlinear Analysis. 2018; 1(1): 30-45.

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