| Автор | Pao, C. V. |
| Дата выпуска | 1976 |
| dc.description | AbstractIn the theory of vehicular traffic flow on a highway the traffic interaction process is often considered as a collision similar to the particles' interaction in the kinetic theory of gases. This concept leads to a Boltzmann-type nonlinear intergro-differential equation which governs the traffic density function. The purpose of this paper is to present a constructive method for the determintation of a solution for this type of equation under certain boundary and initial conditions. Our method is by successive approximation which yields existence of both global and local solutions of the problem. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Australian Mathematical Society 1976 |
| Название | A Boltzmann-type equation in the kinetic theory of vehicular traffic |
| Тип | research-article |
| DOI | 10.1017/S0334270000001314 |
| Electronic ISSN | 1446-8735 |
| Print ISSN | 0334-2700 |
| Журнал | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Том | 19 |
| Первая страница | 452 |
| Последняя страница | 461 |
| Аффилиация | Pao C. V.; North Carolina State University |
| Выпуск | 4 |
