Singularly perturbed boundary value problems

被引：2
|
作者：
Shi Yufeng
机构：
[1] Shandong University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica | 1999年 / 15卷 / 4期
关键词：
Singular perturbation; nonlinear two-point BVP; homotopy approach; optimal control;
D O I：
10.1007/BF02684042
中图分类号：
学科分类号：
摘要：
A class of singularly perturbed nonlinear two-point boundary value problems of ordinary differential equations is studied. Under suitable monotonicity assumptions, we show the existence and uniqueness of solutions by means of the homotopy approach and give an application in singular perturbations for optimal control problems.
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页码：409 / 417
页数：8
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