<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we are concerned with an iterative differential inclusion governed by the time-dependent maximal monotone operator with perturbation. The approach to solve our problem is based on the Yosida approximation technique. The theoretical result is applied to prove an existence result for a Lagrange optimal control problem without assumptions concerning convexity.</p>
</abstract>

In this paper, we are concerned with an iterative differential inclusion governed by the time-dependent maximal monotone operator with perturbation. The approach to solve our problem is based on the Yosida approximation technique. The theoretical result is applied to prove an existence result for a Lagrange optimal control problem without assumptions concerning convexity.

On a Non-Convex Lagrange Optimal Control Problem

LMPA Laboratory, Faculty of Exact Sciences and Computer Science

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On a Non-Convex Lagrange Optimal Control Problem"}

In this paper, we are concerned with an iterative differential inclusion governed by the time-dependent maximal monotone operator with perturbation. The...

On a Non-Convex Lagrange Optimal Control Problem

Published Online: May 29, 2024

Page range: -

Received: Sep 06, 2023

Accepted: Mar 21, 2024

DOI: https://doi.org/10.2478/tmmp-2024-0008

Keywords
iterative, differential inclusions, maximal monotone operator, calculus of variations, almost-convex function

© 2024 Sara Attab et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On a Non-Convex Lagrange Optimal Control Problem

Published Online: May 29, 2024

Page range: -

Received: Sep 06, 2023

Accepted: Mar 21, 2024

DOI: https://doi.org/10.2478/tmmp-2024-0008

Keywordsiterative, differential inclusions, maximal monotone operator, calculus of variations, almost-convex function

© 2024 Sara Attab et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
iterative, differential inclusions, maximal monotone operator, calculus of variations, almost-convex function