Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition (Q723814)
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scientific article; zbMATH DE number 6909946
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| English | Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition |
scientific article; zbMATH DE number 6909946 |
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Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition (English)
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24 July 2018
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The boundary value problems which include the spectral parameter in one of the boundary conditions as a quadratic function arise in the acoustic wave guide problem and heat conduct problem. To this aim, in this paper, the authors study the spectrum and oscillation of eigenfunctions of a fourth-order BVP. They show that the eigenvalues are simple, form an infinitely increasing sequence without a finite accumulative point and satisfy some interlacing properties.
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linear fourth-order differential operator
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squared spectral parameter
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spectrum
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oscillation properties
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interlacing
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