Multiplicity of solutions to second-order linear differential equations on networks (Q1386507)
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scientific article; zbMATH DE number 1154665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions to second-order linear differential equations on networks |
scientific article; zbMATH DE number 1154665 |
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Multiplicity of solutions to second-order linear differential equations on networks (English)
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19 September 2000
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An upper optimal bound is obtained for the multiplicity (or dimension of the kernel of the corresponding matrix) of solutions to second-order linear differential equations on networks with general boundary and node conditions. This bound depends on an abstract-topological associated graph. This result can be applied to study the multiplicity of eigenvalues resulting of corresponding operators.
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multiplicity of solutions
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optimal bound
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Dirichlet and Neumann condition
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graphs
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