The deformations problem for the Stieltjes strings system with a nonlinear condition
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Bibliographic record
Abstract
In the present paper, we investigate a problem, describing the deformations process for the Stieltjes strings system located along a geometric star -shaped graph under the influence of an external force.The case when the force can be concentrated at separate points, including a node of the graph, is considered.The non-linear condition arises due to the presence of a limiter on the strings displacement in the node.Using variational methods, the necessary and sufficient conditions for the extremum of an energy functional are established; existence and uniqueness theorems for the solution are proved; an explicit formula for the solution is obtained; and the dependence solution on the length of the limiter is studied.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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