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Spectral theory for nonconservative transmission line networks

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Publication:1943855
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DOI10.3934/NHM.2011.6.257zbMath1259.35215OpenAlexW2067385293MaRDI QIDQ1943855

Yanyan Li

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2011.6.257


zbMATH Keywords

quantum graphsdissipative boundary conditionsboundary value problems on networkstransmission line equations


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Applications of operator theory to differential and integral equations (47N20) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Systems of linear first-order PDEs (35F35)


Related Items (5)

Flows on metric graphs with general boundary conditions ⋮ Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations ⋮ Control and stabilization of \(2\times 2\) hyperbolic systems on graphs ⋮ Dynamic transmission conditions for linear hyperbolic systems on networks ⋮ Linear hyperbolic systems on networks: well-posedness and qualitative properties







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