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

Savin Treanţă
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2022, vol. 10, issue 15, 1-13

Abstract: 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.

Keywords: multi-time controlled Lagrangian of second-order; isoperimetric constraints; Euler–Lagrange equations; multiple integral; differential 1-form; curvilinear integral; variational inequalities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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