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THE DEFORMATIONS PROBLEM FOR THE STIELTJES STRINGS SYSTEM WITH A NONLINEAR CONDITION.
- Source :
- Journal of Nonlinear & Variational Analysis; 2023, Vol. 7 Issue 2, p291-308, 18p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 25606921
- Volume :
- 7
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Nonlinear & Variational Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 162371960
- Full Text :
- https://doi.org/10.23952/jnva.7.2023.2.09