On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Erdal KARAPINAR
2018-04-01
|
| Series: | Results in Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://static.dergipark.org.tr/article-download/0a8a/7bf7/0a57/5ae628a20daa3.pdf? |
| id |
doaj-ebe8eb31fe1d4c2eb5ab1260c8661e16 |
|---|---|
| record_format |
Article |
| spelling |
doaj-ebe8eb31fe1d4c2eb5ab1260c8661e162020-11-25T02:47:41ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562018-04-01113045On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson JunctionLjubomir P. GeorgievThe 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.http://static.dergipark.org.tr/article-download/0a8a/7bf7/0a57/5ae628a20daa3.pdf?transmission linesjosephson junctionnonlinear hyperbolic systemmixed problem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ljubomir P. Georgiev |
| spellingShingle |
Ljubomir P. Georgiev On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction Results in Nonlinear Analysis transmission lines josephson junction nonlinear hyperbolic system mixed problem |
| author_facet |
Ljubomir P. Georgiev |
| author_sort |
Ljubomir P. Georgiev |
| title |
On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction |
| title_short |
On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction |
| title_full |
On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction |
| title_fullStr |
On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction |
| title_full_unstemmed |
On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction |
| title_sort |
on the continuous generalized solutions of a lossless transmission line system with josephson junction |
| publisher |
Erdal KARAPINAR |
| series |
Results in Nonlinear Analysis |
| issn |
2636-7556 2636-7556 |
| publishDate |
2018-04-01 |
| description |
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. |
| topic |
transmission lines josephson junction nonlinear hyperbolic system mixed problem |
| url |
http://static.dergipark.org.tr/article-download/0a8a/7bf7/0a57/5ae628a20daa3.pdf? |
| work_keys_str_mv |
AT ljubomirpgeorgiev onthecontinuousgeneralizedsolutionsofalosslesstransmissionlinesystemwithjosephsonjunction |
| _version_ |
1724752023412277248 |