OPTIMIZATION OF THE NICOLETTI BOUNDARY VALUE PROBLEM FOR SECOND-ORDER DIFFERENTIAL INCLUSIONS

Elimhan N. Mahmudov, Misir J. Mardanov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The paper is devoted to optimal control of the second-order Nicoletti boundary value problem (BVP) with differential inclusions (DFIs) and duality. First, we formulate the optimality conditions for the problem posed, and then, based on the concept of infimal convolution, the dual problems. It turns out that the Euler-Lagrange type inclusions are ”duality relations” for both primal and dual problems, which means that a pair consisting of solutions to the primal and dual problems sat-isfies this extremal relation, and vice versa. Finally, as an application of the results obtained, we consider the second-order Nicoletti BVP with polyhedral DFIs.

Original languageEnglish
Pages (from-to)3-15
Number of pages13
JournalProceedings of the Institute of Mathematics and Mechanics
Volume49
Issue number1
DOIs
Publication statusPublished - 2023

Bibliographical note

Publisher Copyright:
© 2023, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.

Keywords

  • Duality
  • Euler-Lagrange
  • Nicoletti boundary-value problem
  • Polyhedral
  • Second-order

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