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THE CAUCHY PROBLEM FOR A SYSTEM OF MOMENT THEORY OF ELASTICITY
- Authors: Makhmudov O.I1, Niyozov I.E1
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Affiliations:
- Samarkand State University named after Sharof Rashidov
- Issue: Vol 61, No 2 (2025)
- Pages: 268-274
- Section: BRIEF MESSAGES
- URL: https://journal-vniispk.ru/0374-0641/article/view/299131
- DOI: https://doi.org/10.31857/S0374064125020119
- EDN: https://elibrary.ru/HVLJLJ
- ID: 299131
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Abstract
The question of the solvability of the problem of analytical continuation of the solution of the system of equations of the moment theory of elasticity in a region of three-dimensional space based on its values and the values of its stress on a part of the boundary of this region is investigated.
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About the authors
O. I Makhmudov
Samarkand State University named after Sharof Rashidov
Email: makhmudovo@rambler.ru
Uzbekistan
I. E Niyozov
Samarkand State University named after Sharof Rashidov
Email: iqboln@mail.ru
Uzbekistan
References
- Jarbashyan, M.M., Integral’nyye preobrazovaniya i predstavleniya funktsii v kompleksnoy oblasti (Integral Transforms and Representations of Functions in the Complex Domain), Moscow: Nauka, 1966.
- Tikhonov, A.N., On the stability of inverse problems, Dokl. AN SSSR, 1943, vol. 39, no. 5, pp. 147–160.
- Lavrent’ev, M.M., Romanov, V.G., and Shishatsky, S.P., Nekorrektnyye zadachi matematicheskoy fiziki i analiza (Ill-posed Problems of Mathematical Physics and Analysis), Moscow: Nauka, 1980
- Kupradze, V.D., Gegelia, T.G., Basheleishvili, M.O., and Burchuladze, T.V., Trekhmernyye zadachi matematicheskoy teorii uprugosti i termouprugosti (Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity), Moscow: Nauka, 1976.
- Makhmudov, O.I. and Niyozov, I.E., Solvability of the Cauchy problem for the 3D system of mathematical theory of thermoelasticity, Differ. Equat., 2021, vol. 57, no. 5, pp. 669–682.
- Yarmukhamedov, Sh., A Carleman function and the Cauchy problem for the Laplace equation, Sib. Math. J., 2004, vol. 45, no. 3, pp. 580–595.
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