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@article{DMDICO_2007_27_1_a8, author = {Prusi\'nska, Agnieszka and Tret'yakov, Alexey}, title = {On existence of solutions to degenerate nonlinear optimization problems}, journal = {Discussiones Mathematicae. Differential Inclusions, Control and Optimization}, pages = {151--164}, publisher = {mathdoc}, volume = {27}, number = {1}, year = {2007}, zbl = {1151.90048}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a8/} }
TY - JOUR AU - Prusińska, Agnieszka AU - Tret'yakov, Alexey TI - On existence of solutions to degenerate nonlinear optimization problems JO - Discussiones Mathematicae. Differential Inclusions, Control and Optimization PY - 2007 SP - 151 EP - 164 VL - 27 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a8/ LA - en ID - DMDICO_2007_27_1_a8 ER -
%0 Journal Article %A Prusińska, Agnieszka %A Tret'yakov, Alexey %T On existence of solutions to degenerate nonlinear optimization problems %J Discussiones Mathematicae. Differential Inclusions, Control and Optimization %D 2007 %P 151-164 %V 27 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a8/ %G en %F DMDICO_2007_27_1_a8
Prusińska, Agnieszka; Tret'yakov, Alexey. On existence of solutions to degenerate nonlinear optimization problems. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 27 (2007) no. 1, pp. 151-164. http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a8/
[1] [0] V.M. Alexeev, V.M. Tihomirov and S.V. Fomin, Optimal Control, Consultants Bureau, New York, 1987. Translated from Russian by V.M. Volosov.
[2] [1] B.P. Demidovitch and I.A. Maron, Basis of Computational Mathematics, Nauka, Moscow 1973. (in Russian)
[3] [I-T] A.D. Ioffe and V.M. Tihomirov, Theory of extremal problems, North-Holland, Studies in Mathematics and its Applications, Amsterdam 1979.
[4] [4] A.F. Izmailov and A.A. Tret`yakov, Factor-Analysis of Non-Linear Mapping, Nauka, Moscow, Fizmatlit Publishing Company, 1994.
[5] [5] L.V. Kantorovitch and G.P. Akilov, Functional Analysis, Pergamon Press, Oxford 1982.
[6] [6] M.A. Krasnosel'skii, G.M. Wainikko, P.P. Zabreiko, Yu.B. Rutitskii and V.~Yu. Stetsenko, Approximate Solution of Operator Equations, Wolters-Noordhoff Publishing, Groningen (1972), 39.
[7] [M] K. Maurin, Analysis, Part I, Elements, PWN, Warsow 1971. (in Polish)
[8] [A-T] A. Prusińska and A.A. Tret'yakov, The theorem on existence of singular solutions to nonlinear equations, Trudy PGU, seria Mathematica, 12 (2005).
[9] [9] A.A. Tret'yakov, Necessary Conditions for Optimality of p-th Order, Control and Optimization, Moscow MSU (1983), 28-35 (in Russian).
[10] [11] A.A. Tret'yakov, Necessary and Sufficient Conditions for Optimality of p-th Order, USSR Comput. Math. and Math Phys. 24 (1984), 123-127.
[11] [8] A.A. Tret'yakov, The implicit function theorem in degenerate problems, Russ. Math. Surv. 42 (1987), 179-180.