Javier F. Rosenblueth, "Regularity and Conjugacy for Constrained Variational Problems," WSEAS Transactions on Systems, vol. 19, pp. 102-106, 2020, DOI:10.37394/23202.2020.19.14
Javier F. Rosenblueth. Regularity and Conjugacy for Constrained Variational Problems.
WSEAS Transactions on Systems. 2020;19:102-106. 10.37394/23202.2020.19.14
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 19, 2020
Regularity and Conjugacy for Constrained Variational Problems
Author:
Abstract: For problems in the calculus of variations involving equality and inequality mixed constraints we characterize, in terms of an extended notion of conjugate points, the sign of a quadratic form which corresponds to the second variation of the integral to be minimized. Second order necessary conditions are then derived assuming the well-known constraint qualification of regularity in the sense that, with respect to the set of mixed constraints, both the tangent cone and the set of tangential constraints coincide.
Keywords:
Calculus of variations, regularity, conjugate points, tangent cone, tangential constraints
Pages: 102-106 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 19, 2020, Art. #14 DOI: 10.37394/23202.2020.19.14
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