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Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions - MaRDI portal

Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions (Q2251841)

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Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions
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    Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions (English)
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    15 July 2014
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    The authors develop a new mathematical solution scheme for the vibrations of a bounded string with directional derivatives in the boundary conditions with necessary and sufficient conditions. A number of theorems are developed for the theoretical foundation but, no numerical examples are shown for the illustration.
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    closed-form expression
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    mixed problem
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    derivatives and time-dependent coefficients
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    vibration
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    string
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    initial and boundary data
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