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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

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