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Computational Mathematics
Solution of stochastic non-autonomous Chen – Gurtin model with multipoint initial-final condition
M. A. Sagadeeva, S. A. Zagrebina South Ural State University, Chelyabinsk, Russian Federation
Abstract:
In this paper the authors investigate the solvability of a non-autonomous Chen – Gurtin model with a multipoint initial-final condition in the space of stochastic $\mathbf{K}$-processes. To do this, we first consider the solvability of a multipoint initial-final problem for a non-autonomous Sobolev type equation in the case when the resolving family is a strongly continuous semiflow of operators. The Chen – Gurtin model refers to non-classical models of mathematical physics. Recall that non-classical are those models of mathematical physics whose representations in the form of equations or systems of partial differential equations do not fit within one of the classical types: elliptic, parabolic or hyperbolic. For this model, multipoint initial-final conditions, which generalizing the Cauchy and Showalter-Sidorov conditions, are considered.
Keywords:
Sobolev type equations, resolving $C_0$-semiflow of operators, relatively spectral projectors, Nelson – Gliklikh derivative, space of stochastic $\mathbf{K}$-processes.
Received: 03.12.2022
Citation:
M. A. Sagadeeva, S. A. Zagrebina, “Solution of stochastic non-autonomous Chen – Gurtin model with multipoint initial-final condition”, J. Comp. Eng. Math., 10:1 (2023), 44–55
Linking options:
https://www.mathnet.ru/eng/jcem232 https://www.mathnet.ru/eng/jcem/v10/i1/p44
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Abstract page: | 27 | Full-text PDF : | 7 |
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