Abstract
We discuss an optimal control problem for the Kirchhoff–Poisson type controlled system. By using variational methods and embedding theorem, we obtain the existence uniqueness of solutions to the state equation and existence of an optimal control.
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Y.Z. provided the concept of the manuscript and wrote the original draft of the paper. W.W. provided proof methods for the manuscript and reviewed and revised the the original draft, as well as funding acquisition. Y.W. and J.L. reviewed and revised the the original draft. All authors reviewed the manuscript.
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This work is supported by Science and Technology Plan Project of Guizhou province (No. Qian Ke He **Tai RenCai-YSZ[2022]002).
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Zhou, Y., Wei, W., Wang, Y. et al. Existence of Optimal Control for a Class of Kirchhoff–Poisson System. Qual. Theory Dyn. Syst. 23, 156 (2024). https://doi.org/10.1007/s12346-024-01019-7
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DOI: https://doi.org/10.1007/s12346-024-01019-7