The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics (Q1910831)
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scientific article; zbMATH DE number 859216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics |
scientific article; zbMATH DE number 859216 |
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The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics (English)
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24 March 1996
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The author considers an infinite horizon variational problem for real valued functions defined on an infinite semiaxis of the line, where the integrand of the functional depends on the second derivative of the sought-for function. The paper generalizes the main results of \textit{A. Leizarowitz} and \textit{V. J. Mizel} [Arch. Ration. Mech. Anal. 106, No. 2, 161-193 (1989; Zbl 0672.73010)].
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minimal energy solutions
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periodic minimal solutions
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discrete-time variational problems
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infinite horizon variational problem
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