SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS ArticleArutyunov A.V.Doklady Mathematics. Том 70. 2004. С. 904-907
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE ArticleAvakov E.R., Arutyunov A.V.Doklady Mathematics. Том 70. 2004. С. 924-927
NONDEGENERATE NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS WITH STATE CONSTRAINTS ArticleArutyunov A., Karamzin D., Pereira F.Proceedings of the IEEE Conference on Decision and Control. Том 1. 2003. С. 233-238
SENSITIVITY THEORY FOR ABNORMAL OPTIMIZATION PROBLEMS WITH EQUALITY CONSTRAINTS ArticleArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 43. 2003. С. 178-193
FIRST AND SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Dykhta V., Pereira F.Proceedings of the IEEE Conference on Decision and Control. Том 6. 2003. С. 6357-6362
POSITIVE DEFINITENESS OF FORMS: NUMERICAL IDENTIFICATION ArticleArutyunov A.V., Izmailov A.F.SIAM Journal on Control and Optimization. Том 41. 2003. С. 1567-1585
INVERSE FUNCTION THEOREM ON A CONE IN THE NEIGHBORHOOD OF AN ABNORMAL POINT ArticleArutyunov A.V.Doklady Mathematics. Том 67. 2003. С. 149-152
SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Jaćimović V., Pereira F.Journal of Dynamical and Control Systems. Том 9. 2003. С. 131-153
CHECKING THE DEFINITENESS OF FORMS ArticleArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 42. 2002. С. 767-780
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V., Vereshchagina Yu.S.Differential Equations. Том 38. 2002. С. 1531-1540
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL SYSTEMS ArticleArutyunov A., Jacimović V., Pereira F.Proceedings of the IEEE Conference on Decision and Control. Том 2. 2002. С. 1576-1581
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS ArticleArutyunov A.V.Mathematical Notes. Том 71. 2002. С. 25-33
A PROBLEM OF OPTIMAL DISTRIBUTION OF RESOURCES OVER A SET OF INDEPENDENT OPERATIONS ArticleArutyunov A.V., Burkov V.N., Zalozhnev A.Yu., Karamzin D.Yu.Automation and Remote Control. Том 63. 2002. С. 792-802
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS ArticleArutyunov A.V., Jacimovic V.Differential Equations. Том 38. 2002. С. 1081-1094
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS ArticleArutyunov A.V.Doklady Mathematics. Том 63. 2001. С. 182-184
CONDITIONS FOR A HIGH-ORDER EXTREMUM AND TANGENT VECTORS AT AN ABNORMAL POINT ArticleArutyunov A.V.Doklady Mathematics. Том 64. 2001. С. 381-384
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V.Differential Equations. Том 37. 2001. С. 1627-1630
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Jaćimović V., Pereira F.2001 European Control Conference, ECC 2001. 2001. С. 2759-2763
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Izmailov A.F.Journal of Mathematical Analysis and Applications. Том 262. 2001. С. 564-576
IMPLICIT FUNCTION THEOREM AS A REALIZATION OF THE LAGRANGE PRINCIPLE. ABNORMAL POINTS ArticleArutyunov A.V.Sbornik Mathematics. Том 191. 2000. С. 1-24
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT ArticleArutyunov A.V.Doklady Mathematics. Том 62. 2000. С. 351-352
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V.Doklady Mathematics. Том 61. 2000. С. 158-161
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS ArticleArutyunov A.V.Doklady Mathematics. Том 60. 1999. С. 231-234
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS ArticleArutyunov A.V., Rozova V.N.Differential Equations. Том 35. 1999. С. 723-728
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS ArticleArutyunov A.V.Transactions of the American Mathematical Society. Том 350. 1998. С. 4341-4365