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：

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

页码：942 / 946

页数：5

共 6 条

[1] Alekseev V.M., 1979, OPTIMAL CONTROL
[2] [Anonymous], 1984, MATH ANAL TXB
[3] Avakov ER, 2021, MATH NOTES+, V109, P503, DOI [10.4213/mzm12824, 10.1134/S0001434621030196]
[4] Local infimum and a family of maximum principles in optimal control
Avakov, E. R.
Magaril-Il'yaev, G. G.
[J]. SBORNIK MATHEMATICS, 2020, 211 (06) : 750 - 785
[5] LOCAL CONTROLLABILITY AND A FAMILY OF MAXIMUM PRINCIPLES FOR A FREE TIME OPTIMAL CONTROL PROBLEM
Avakov, Evgeny
Magaril-Il'Yaev, Georgii
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (06) : 3212 - 3236
[6] Dieudonne J., 1960, Foundations of Modern Analysis