Approximation of solutions for nonlinear problems with an application to the study of aneurysms of the circle of Willis

被引：13

作者：

Nieto, JJ ^{[1
]}

Torres, A

机构：

[1] Univ Santiago Compostela, Fac Matemat, Dept Anal Matemat, Compostela 15706, Spain

[2] Univ Santiago Compostela, Fac Med, Dept Psiquiatria Radiol & Salud Publ, Compostela 15706, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 40卷 / 1-8期

关键词：

nonlinear problem; approximate solutions; monotone iterative technique; blood flow; aneurysm;

D O I：

10.1016/S0362-546X(00)85030-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The mathematical modelization of many phenomena lead to the study of an abstract equation of the form Lu = Nu, where L and N are given operator in an abstract space. In many situations, the operator L satisfies a maximum principle and this allows to find a solution between the lower and the upper solutions provided they are ordered. A unified treatment of a variety of problems whose mathematical models is of form described is developed.

引用

页码：513 / 521

页数：9

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