The existence of an optimal solution in problems of determining the shape of an elastic line (Q1080284)
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scientific article; zbMATH DE number 3965606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of an optimal solution in problems of determining the shape of an elastic line |
scientific article; zbMATH DE number 3965606 |
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The existence of an optimal solution in problems of determining the shape of an elastic line (English)
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1985
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The title problem is formulated and the solution is discussed for five sets of different boundary conditions for the ends of the rod. Two theorems proof the existence of a solution. The authors are not interested in any consequences of an optimal solution as the considered rod may be a part of a structure of any kind. Conclusions concerning the application of the optimal rods are not formulated. Therefore, the paper has a somewhat academic character.
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strain energy minimization of maximization
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generalized optimal control
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measurable optimal control
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five sets of different boundary conditions
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optimal solution
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