High-order Necessary Conditions for Optimality for Abnormal Points

2012 ◽  
Keyword(s):  
Necessary Conditions ◽  
High Order ◽  
Necessary Conditions For Optimality ◽  
Abnormal Points

High Order Necessary Conditions for Optimality

1972 ◽  
Vol 10 (1) ◽  
pp. 127-168 ◽  
Author(s):  
R. Gabasov ◽  
F. M. Kirillova
Keyword(s):  
Necessary Conditions ◽  
High Order ◽  
Necessary Conditions For Optimality

scholarly journals High-order optimality conditions for degenerate variational problems

2014 ◽  
Vol 30 (3) ◽  
pp. 387-394
Author(s):  
AGNIESZKA PRUSINSKA ◽  
◽  
EWA SZCZEPANIK ◽  
ALEXEY A. TRETYAKOV ◽  
◽  
...  
Keyword(s):  
Optimality Conditions ◽  
Calculus Of Variations ◽  
Necessary Conditions ◽  
Regularity Theory ◽  
Variational Problems ◽  
High Order ◽  
Singular Problems ◽  
Necessary Conditions For Optimality ◽  
Solution Point

The paper is devoted to the class of singular calculus of variations problems with constraints which are not regular mappings at the solution point. Methods of the p-regularity theory are used for investigation of isoperimetric and Lagrange singular problems. Necessary conditions for optimality in p-regular calculus of variations problem are presented.

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