A Generalized Solution of an Initial Boundary Value Problem Arising in the Mechanics of Discrete-Continuous Systems

Autor: E. P. Kubyshkin, O. A. Khrebtyugova
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.
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