THEOREMS ON THE EXISTENCE OF AN IMPLICIT FUNCTION IN THE THEORY OF NECESSARY AND SUFFICIENT CONDITIONS FOR AN EXTREMUM

被引：1

作者：

BURTSEV, SV

机构：

来源：

RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS | 1995年 / 82卷 / 01期

关键词：

D O I：

10.1070/SM1995v082n01ABEH003552

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The implicit function theorem and its generalizations are widely used in the theory of extremum problems. Two such generalizations are given in this paper. As applications of them certain results on necessary and sufficient conditions for an extremum are proved.

引用

页码：65 / 85

页数：21

共 50 条

[11] NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF A LAGRANGIAN IN FIELD-THEORY WITH HIGHER DERIVATIVES
FARIAS, JR
HADRONIC JOURNAL, 1985, 8 (05): : 227 - 237
[12] NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIAPUNOV FUNCTION OF LUR'E FORM WITH■≤0
仵永先
赵素霞
Acta Mathematicae Applicatae Sinica, 1990, (03) : 245 - 250
[13] Minimax theorems for Φ-convex functions: sufficient and necessary conditions
Syga, Monika
OPTIMIZATION, 2016, 65 (03) : 635 - 649
[14] NECESSARY AND SUFFICIENT CONDITIONS IN SEMICONTINUITY AND CONVERGENCE THEOREMS WITH A FUNCTIONAL
SYCHEV, MA
SBORNIK MATHEMATICS, 1995, 186 (5-6) : 847 - 878
[15] THEOREMS ON THE GLOBAL EXISTENCE OF THE IMPLICIT FUNCTION AND THEIR APPLICATIONS
TSARKOV, IG
DOKLADY AKADEMII NAUK, 1992, 324 (04) : 754 - 756
[16] Comparison theorems and necessary/sufficient conditions for the existence of nonoscillatory solutions of forced impulsive differential equations with delay
Huang, Shao Yuan
Cheng, Sui Sun
UKRAINIAN MATHEMATICAL JOURNAL, 2013, 64 (09) : 1403 - 1420
[17] Comparison theorems and necessary/sufficient conditions for the existence of nonoscillatory solutions of forced impulsive differential equations with delay
Shao Yuan Huang
Sui Sun Cheng
Ukrainian Mathematical Journal, 2013, 64 : 1403 - 1420
[18] Necessary and sufficient conditions for a function to be separable
Viazminsky, C. P.
APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) : 658 - 670
[19] Saddle points for vector valued functions: existence, necessary and sufficient theorems
Duca, Dorel I.
Lupsa, Liana
JOURNAL OF GLOBAL OPTIMIZATION, 2012, 53 (03) : 431 - 440
[20] Saddle points for vector valued functions: existence, necessary and sufficient theorems
Dorel I. Duca
Liana Lupsa
Journal of Global Optimization, 2012, 53 : 431 - 440

← 1 2 3 4 5 →