References
V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control (Nauka, Moscow, 1979) [in Russian].
A. V. Arutyunov, Optimality Conditions: Abnormal and Degenerate Problems (Faktorial, Moscow, 1997; Kluwer Academic, Dordrecht, 2000).
A. V. Arutyunov and D. Yu. Karamzin, Comput. Math. Math. Phys. 46, 1293–1298 (2006).
A. V. Arutyunov and V. Jaćimović, Vestn. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 4, 34–40 (1999).
E. R. Avakov, USSR Comput. Math. Math. Phys. 25(3), 24–32 (1985).
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Original Russian Text © E.R. Avakov, A.V. Arutyunov, D.Yu. Karamzin, 2012, published in Doklady Akademii Nauk, 2012, Vol. 444, No. 2, pp. 127–130.
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Avakov, E.R., Arutyunov, A.V. & Karamzin, D.Y. On second-order necessary optimality conditions in finite-dimensional abnormal optimization problems. Dokl. Math. 85, 328–330 (2012). https://doi.org/10.1134/S1064562412030076
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DOI: https://doi.org/10.1134/S1064562412030076