A Generalized Solution of an Initial Boundary Value Problem Arising in the Mechanics of Discrete-Continuous Systems
<p align="LEFT">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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2012-01-01
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| Series: | Modelirovanie i Analiz Informacionnyh Sistem |
| Subjects: | |
| Online Access: | http://mais-journal.ru/jour/article/view/14 |
| Summary: | <p align="LEFT">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.</p> |
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| ISSN: | 1818-1015 2313-5417 |