A Generalized Solution of an Initial Boundary Value Problem Arising in the Mechanics of Discrete-Continuous Systems
Autor: | E. P. Kubyshkin, O. A. Khrebtyugova |
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Jazyk: | English<br />Russian |
Rok vydání: | 2015 |
Předmět: | |
Zdroj: | Моделирование и анализ информационных систем, Vol 19, Iss 1, Pp 84-96 (2015) |
Druh dokumentu: | article |
ISSN: | 1818-1015 2313-5417 |
DOI: | 10.18255/1818-1015-2012-1-84-96 |
Popis: | In this paper we define a generalized solution of an initial boundary value problem for a linear system of differential equations with one ordinary differential equation and two partial differential equations (a hybrid system of differential equations). We have proved the existence theorem for a generalized solution, its uniqueness, the correctness of the problem. An analytical formula for the solution is found. Such a system of differential equations arises in the study of discrete-continuum mechanical systems. |
Databáze: | Directory of Open Access Journals |
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