On a class of ordinary differential equations of various orders on a graph (Q1886118)
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scientific article; zbMATH DE number 2115586
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a class of ordinary differential equations of various orders on a graph |
scientific article; zbMATH DE number 2115586 |
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On a class of ordinary differential equations of various orders on a graph (English)
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15 November 2004
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The authors consider the Sturm-Liouville problem \((pu'')''- (qu')'= f\), \(u_{| \partial\Gamma}= 0\), with some stress balance condition, where \(\Gamma\) is a system of bars and strings with a cycle. They prove the solvability of the problem under consideration and derive some properties of the solution, such as the sign, the sign of the Green function, and some results on the corresponding spectral problem.
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elastic oscillations
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Sturm-Liouville problem
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spectral problem
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stress balance condition
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