A Note on the Classical Implicit Function Theorem

被引：1
作者：
Avakov, E. R. [1 ,2 ]
Magaril-Il'yaev, G. G. [2 ,3 ,4 ]
机构：
[1] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow 117997, Russia
[2] Lomonosov Moscow State Univ, Moscow 119991, Russia
[3] Russian Acad Sci, Kharkevich Inst Informat Transmiss Problems, Moscow 101447, Russia
[4] Russian Acad Sci, Vladikavkaz Sci Ctr, Southern Math Inst, Vladikavkaz 362027, Russia
来源：
MATHEMATICAL NOTES | 2021年 / 110卷 / 5-6期
关键词：
implicit function theorem; close mappings; Newton's method; MAXIMUM-PRINCIPLES; CONTROLLABILITY; FAMILY;
D O I：
10.1134/S0001434621110304
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：942 / 946
页数：5
相关论文
共 6 条
[1]  
Alekseev V.M., 1979, OPTIMAL CONTROL
[2]  
Avakov ER, 2021, MATH NOTES+, V109, P503, DOI [10.1134/S0001434621030196, 10.4213/mzm12824]
[3]   Local infimum and a family of maximum principles in optimal control [J].
Avakov, E. R. ;
Magaril-Il'yaev, G. G. .
SBORNIK MATHEMATICS, 2020, 211 (06) :750-785
[4]   LOCAL CONTROLLABILITY AND A FAMILY OF MAXIMUM PRINCIPLES FOR A FREE TIME OPTIMAL CONTROL PROBLEM [J].
Avakov, Evgeny ;
Magaril-Il'Yaev, Georgii .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (06) :3212-3236
[5]  
Dieudonn J., 1960, Foundations of Modern Analysis
[6]  
Zorich V.A., 1984, MATH ANAL TXB
1