Dynamical boundary value problem for a viscoelastic half-space with cut
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912662740271104 |
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| author | Shavlakadze, N. Odishelidze, N. Pachulia, B. Criado-Aldeanueva, F. |
| author_facet | Shavlakadze, N. Odishelidze, N. Pachulia, B. Criado-Aldeanueva, F. |
| contents | The dynamical boundary value problem for viscoelastic half-space with cut in the form of a strip is considered. The problem is reduced to the singular integral equation of first kind. Using the method of orthogonal polynomials, the integral equation is reduced to an infinite system of linear algebraic equations. The quasi-completely regularity of the obtained system is proved and the reduction method for approximate solution is developed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18504 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical boundary value problem for a viscoelastic half-space with cut Shavlakadze, N. Odishelidze, N. Pachulia, B. Criado-Aldeanueva, F. Mathematical Physics 74B05, 74K20, 74K15 The dynamical boundary value problem for viscoelastic half-space with cut in the form of a strip is considered. The problem is reduced to the singular integral equation of first kind. Using the method of orthogonal polynomials, the integral equation is reduced to an infinite system of linear algebraic equations. The quasi-completely regularity of the obtained system is proved and the reduction method for approximate solution is developed. |
| title | Dynamical boundary value problem for a viscoelastic half-space with cut |
| topic | Mathematical Physics 74B05, 74K20, 74K15 |
| url | https://arxiv.org/abs/2510.18504 |