NON-LINEAR INITIAL-VALUE PROBLEM ARISING FROM KINETIC-THEORY OF VEHICULAR TRAFFIC

被引：4

作者：

BARONE, E ^{[1
]}

BELLENIMORANTE, A ^{[1
]}

机构：

[1] FAC INGN FIRENZE, INST MATEMAT APPL, FIRENZE, ITALY

来源：

TRANSPORT THEORY AND STATISTICAL PHYSICS | 1978年 / 7卷 / 1-2期

关键词：

D O I：

10.1080/00411457808204618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlinear initial-value problem arising from a Boltzmann-like model of vehicular traffic on highways. First, we show that such a problem has a unique strict solution u = u(t) that belongs to a suitable Banach space x0, provided that t ∊ [0, t] with t suitably chosen. Then, we prove that u(t) belongs to the closed positive cone X+0, if u0 = u(0) belongs to a suitable subset of X0+. Finally, we evaluate a continuous nonnegative real function y(t), such that ||u(t)|| ≤y(t) at any t ∊[0, t]. © 1978 Taylor & Francis Group, LLC. All rights reserved.

引用

页码：61 / 79

页数：19