An eigenvalue problem with singularity for fourth order ordinary differential equation (Q1808894)
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scientific article; zbMATH DE number 1369977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An eigenvalue problem with singularity for fourth order ordinary differential equation |
scientific article; zbMATH DE number 1369977 |
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An eigenvalue problem with singularity for fourth order ordinary differential equation (English)
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15 May 2000
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The paper deals with the following eigenvalue problem \[ (pu'')''+qu= \lambda u, \quad 0<x<1, \qquad (pu'')''(0) = \lambda u(0), \quad u''(0) = u(1) = u'(1) = 0. \] The author proves the existence of a countable set of eigenvalues. The arguments are essentially based on the weak formulation of the problem.
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fourth-order differential equation
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singular problem
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weak formulation
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eigenvalues
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eigenfunctions
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