Publication Cover
Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 9
159
Views
33
CrossRef citations to date
0
Altmetric
Articles

Constrained variational problems governed by second-order Lagrangians

Pages 1467-1484 | Received 11 Jun 2018, Accepted 13 Oct 2018, Published online: 27 Oct 2018
 

ABSTRACT

In this paper, the analysis is focused on the optimization of some simple, multiple or curvilinear integral functionals (governed by second-order Lagrangians) subject to ODEs, PDEs or isoperimetric constraints. In this context, using appropriate techniques of calculus of variations and some geometric tools, necessary conditions of optimality are formulated. As well, the theory developed in this paper is illustrated with applications.

AMS subject classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.