We consider a nonsmooth optimal control problem described by a system of second-order hyperbolic equations with Goursat boundary conditions. A number of necessary optimality conditions are proved in terms of directional derivatives.

optimal control, necessary conditions, hyperbolic equations.

Received: October 11, 2024; Accepted: October 21, 2024; Published: November 8, 2024

How to cite this article: Aysel T. Ramazanova, Necessary conditions for optimality in one nonsmooth optimal control problem for Goursat-Darboux systems, Advances in Differential Equations and Control Processes 31(4) (2024), 673-681. https://doi.org/10.17654/0974324324034

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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