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On the solution of elliptic equation \(\sum ^{n}_{k=0}a_ k\Delta ^ k\phi =0\) and its application in mechanics - MaRDI portal

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On the solution of elliptic equation \(\sum ^{n}_{k=0}a_ k\Delta ^ k\phi =0\) and its application in mechanics (Q1087718)

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scientific article; zbMATH DE number 3987791
Language Label Description Also known as
English
On the solution of elliptic equation \(\sum ^{n}_{k=0}a_ k\Delta ^ k\phi =0\) and its application in mechanics
scientific article; zbMATH DE number 3987791

    Statements

    On the solution of elliptic equation \(\sum ^{n}_{k=0}a_ k\Delta ^ k\phi =0\) and its application in mechanics (English)
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    1981
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    The solution of an elliptic equation \(\sum^{n}_{k=0}a_ k\Delta^ k\phi =0\) is discussed in detail by the method of separation of variables in the complex field. The general solution which can be used in the approximation to the boundary conditions of the practical problems is presented. Two practical examples in mechanics are given.
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    separation of variables
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    complex field
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    general solution
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