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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 2, Pages 30–37
(Mi ivm8868)
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This article is cited in 6 scientific papers (total in 6 papers)
The Cauchy problem of the moment elasticity theory in $\mathbf R^m$
I. E. Niyozov, O. I. Makhmudov Chair of Mathematical Physics and Functional Analysis, Samarkand State University, 15 Universitetskii blvd., Samarkand, 140129 Republic of Uzbekistan
Abstract:
In this paper we consider the problem of analytical continuation of the solution to the system of equations of the moment theory of elasticity in spatial many-dimensional domain. We give an explicit formula of restoring of solution inside the domain by values of sought-for solution and values of strains on part of the boundary of this domain.
Keywords:
Cauchy problem, Carleman function, Carleman matrix, system of elacticity theory.
Received: 10.09.2012
Citation:
I. E. Niyozov, O. I. Makhmudov, “The Cauchy problem of the moment elasticity theory in $\mathbf R^m$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2, 30–37; Russian Math. (Iz. VUZ), 58:2 (2014), 24–30
Linking options:
https://www.mathnet.ru/eng/ivm8868 https://www.mathnet.ru/eng/ivm/y2014/i2/p30
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Abstract page: | 199 | Full-text PDF : | 51 | References: | 30 | First page: | 8 |
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