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Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory - MaRDI portal

Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory (Q1166975)

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scientific article; zbMATH DE number 3771089
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English
Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory
scientific article; zbMATH DE number 3771089

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    Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory (English)
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    1981
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    eigenvalues
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    eigenfunctions
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    three-dimensional equations
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    linear elastic equilibrium
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    clamped plate
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    converge to eigenvalues and eigenfunctions of two-dimensional biharmonic operator
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    limit eigenvalues and eigenfunctions equivalently characterized as leading terms in asymptotic expansion of three-dimensional solutions
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