Generalized solvability and optimal control for an integro-differential equation of a hyperbolic type

Authors

DOI:

https://doi.org/10.31713/MCIT.2021.01

Keywords:

Integro-differential equation, generalized solvability, optimal control, a priory inequalities, Volterra operator

Abstract

We consider an integro-differential operator with Volterra type integral term. We provide a priory inequalities in negative norms for certain spaces. Further, using obtained inequalities we prove well-posedness (existence and uniqueness of the (weak) generalized solution) of the corresponding boundary value problem as well as a theorem on optimal control existence.

Author Biography

Andrii Anikushyn, Taras Shevchenko National University of Kyiv

Ph.D., 

Associate Professor

Department of Computer Science and Cybernetics Taras Shevchenko National University of Kyiv

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Published

2021-11-21

How to Cite

Anikushyn, A., & Zhyvolovych , O. . (2021). Generalized solvability and optimal control for an integro-differential equation of a hyperbolic type. Modeling, Control and Information Technologies: Proceedings of International Scientific and Practical Conference, (5), 8–9. https://doi.org/10.31713/MCIT.2021.01

Issue

No. 5 (2021): Modeling, control and information technologies: Proceedings of V International scientific and practical conference

Section

index