Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Kirichenko V. F., Misnik M. P., Samarkin P. A. Configuration Space in Second Boundary Value Problem of Non-classical Plate Theory. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 75-82. DOI: 10.18500/1816-9791-2013-13-4-75-82

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Configuration Space in Second Boundary Value Problem of Non-classical Plate Theory

Kirichenko Valerii Fedorovich, Saratov State University
Misnik Maria Petrovna, Saratov State University
Samarkin Pavel Alexsandrovich, Yuri Gagarin State Technical University of Saratov

The article contains investigation of second boundary value problem for equilibrium equation «in mixed formulation» describing nonclassical mathematical model for hinged isotropic and uniform plate under generalized Timoshenko hypothesis taking into account initial irregularities. For this problem for the first time were proved the existance of generalized solution and weak compactness of the set of approximate solutions obtained with Bubnov–Galerkin method using V. Z. Vlasov scheme. Basing on functional spaces used to study existance of generalized solution and to investigate convergence of Bubnov–Galerkin method, there was defined configuration space corresponding to the boundary value problem.

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