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References
X. J. Li and J. M. Yong, Optimal Control Theory for Infinite Dimensional Systems (Birkhäuser Boston, Boston, 1995).
D. Salamon, Trans. Amer. Math. Soc. 300 (2), 383 (1987).
J. Yong, Forward-Backward Evolution Equations and Applications, arXiv: 1508. 03550 (2015).
A. Bensoussan, J. Frehse, and P. Yam, Mean Field Games and Mean Field Type Control Theory (Springer, New York, 2013).
J. Yong and X. Y. Zhou, Stochastic Controls. Hamiltonian Systems and HJB Equations, in Appl. Math. (N. Y. ) (Springer, New York, 1999), Vol. 43.
K. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, in Grad. Texts in Math. (Springer-Verlag, Berlin, 2000), Vol. 194.
I. Lasiecka, in Analysis and Optimization of Systems. State and Frequency Domain Approaches for Infinite-Dimensional Systems (Springer-Verlag, Berlin, 1993), pp. 23–45.
I. Lasiecka, in Functional Analytic Methods for Evolution Equations (Springer-Verlag, Berlin, 2004), pp. 23–45.
A. J. Pritchard and D. Salamon, SIAM J. Control Optim. 25 (1), 121 (1987).
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Original Russian Text © N. V. Artamonov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 5, pp. 762–765.
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Artamonov, N.V. On the solvability of a system of forward-backward linear equations with unbounded operator coefficients. Math Notes 100, 747–750 (2016). https://doi.org/10.1134/S0001434616110122
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DOI: https://doi.org/10.1134/S0001434616110122