INVERSE FUNCTION THEOREM ON A CONE IN THE NEIGHBORHOOD OF AN ABNORMAL POINT Article Arutyunov A.V. Doklady Mathematics. Vol. 67. 2003. P. 149-152
A PROBLEM OF OPTIMAL DISTRIBUTION OF RESOURCES OVER A SET OF INDEPENDENT OPERATIONS Article Arutyunov A.V., Burkov V.N., Zalozhnev A.Yu., Karamzin D.Yu. Automation and Remote Control. Maik Nauka Publishing / Springer SBM. Vol. 63. 2002. P. 792-802
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS Article Arutyunov A.V., Vereshchagina Yu.S. Differential Equations. Vol. 38. 2002. P. 1531-1540
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS Article Arutyunov A.V. Mathematical Notes. Vol. 71. 2002. P. 25-33
CHECKING THE DEFINITENESS OF FORMS Article Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 42. 2002. P. 767-780
OPTIMAL RESOURCES ALLOCATION OVER THE SET OF INDEPENDENT OPERATIONS Article Arutyunov A.V., Burkov V.N., Zalozhnev A.Yu., Karamzing D.Yu. Avtomatika i Telemekhanika. 2002. P. 108-119
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Article Arutyunov A.V., Jacimovic V. Differential Equations. Vol. 38. 2002. P. 1081-1094
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL SYSTEMS Article Arutyunov A., Jacimović V., Pereira F. Proceedings of the IEEE Conference on Decision and Control. Vol. 2. 2002. P. 1576-1581
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS Article Arutyunov A.V. Differential Equations. Vol. 37. 2001. P. 1627-1630
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS Article Arutyunov A., Jaćimović V., Pereira F. 2001 European Control Conference, ECC 2001. Institute of Electrical and Electronics Engineers Inc.. 2001. P. 2759-2763
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Article Arutyunov A.V. Doklady Mathematics. Vol. 63. 2001. P. 182-184
CONDITIONS FOR A HIGH-ORDER EXTREMUM AND TANGENT VECTORS AT AN ABNORMAL POINT Article Arutyunov A.V. Doklady Mathematics. Vol. 64. 2001. P. 381-384
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS Article Arutyunov A.V., Izmailov A.F. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Vol. 262. 2001. P. 564-576
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT Article Arutyunov A.V. Doklady Mathematics. Vol. 62. 2000. P. 351-352
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 61. 2000. P. 158-161