Problems of the variational calculus with movable ends and higher-order derivatives

• Date: 2017
• Author Affiliations: М. А. Елишевич — Киевский национальный университет строительства и архитектуры
• Keywords: keywords
• Main Authors: Elisevich, M. A., Елишевич, М. А., Єлішевич, М. А.
• Format: Article
• Language: Russian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/45
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The necessary conditions for the existence of a weak local extremum in the Lagrange, Mayer, and Bolt problems with moving ends, derivatives of higher orders, and the boundary condition are determined. An example is given.