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A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks - MaRDI portal

A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks (Q1821927)

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scientific article; zbMATH DE number 4000406
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English
A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
scientific article; zbMATH DE number 4000406

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    A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks (English)
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    1985
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    The author considers heat flow on a network of wires with a finite number of vertices and edges; the network is considered as a topological graph in the Euclidean space. An eigenvalue problem associated with a parabolic system is investigated and some properties of the spectrum depending on the structure of the abstract graph are established.
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    heat flow
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    spectrum
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    abstract graph
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