Recent Advances of Constrained Variational Problems Involving Second-Order Partial Derivatives: A Review

被引：3
|
作者：
Treanta, Savin [1 ,2 ,3 ]
机构：
[1] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania
[2] Acad Romanian Scientists, 54 Splaiul Independentei, Bucharest 050094, Romania
[3] Univ Politehn Bucuresti, Fundamental Sci Appl Engn Res Ctr SFAI, Bucharest 060042, Romania
来源：
MATHEMATICS | 2022年 / 10卷 / 15期
关键词：
multi-time controlled Lagrangian of second-order; isoperimetric constraints; Euler-Lagrange equations; multiple integral; differential; 1-form; curvilinear integral; variational inequalities; VARIABLE EXPONENT; VECTOR; FUNCTIONALS;
D O I：
10.3390/math10152599
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper comprehensively reviews the nonlinear dynamics given by some classes of constrained control problems which involve second-order partial derivatives. Specifically, necessary optimality conditions are formulated and proved for the considered variational control problems governed by integral functionals. In addition, the well-posedness and the associated variational inequalities are considered in the present review paper.
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页数：13
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