SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Статья Arutyunov A.V. Doklady Mathematics. Том 63. 2001. С. 182-184
CONDITIONS FOR A HIGH-ORDER EXTREMUM AND TANGENT VECTORS AT AN ABNORMAL POINT Статья Arutyunov A.V. Doklady Mathematics. Том 64. 2001. С. 381-384
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Izmailov A.F. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 262. 2001. С. 564-576
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Doklady Mathematics. Том 61. 2000. С. 158-161
IMPLICIT FUNCTION THEOREM AS A REALIZATION OF THE LAGRANGE PRINCIPLE. ABNORMAL POINTS Статья Arutyunov A.V. Sbornik Mathematics. Russian Academy of Sciences. Том 191. 2000. С. 1-24
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT Статья Arutyunov A.V. Doklady Mathematics. Том 62. 2000. С. 351-352
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 60. 1999. С. 231-234
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS Статья Arutyunov A.V., Rozova V.N. Differential Equations. Том 35. 1999. С. 723-728
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS Статья Arutyunov A.V. Transactions of the American Mathematical Society. Том 350. 1998. С. 4341-4365
NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH INTERMEDIATE CONSTRAINTS Статья Arutyunov A.V., Okoulevitch A.I. Journal of Dynamical and Control Systems. Том 4. 1998. С. 49-58
DEGENERACY PHENOMENON IN OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A.V., Aseev S.M. Proceedings of the IEEE Conference on Decision and Control. Том 1. 1997. С. 300-304
INVESTIGATION OF THE DEGENERACY PHENOMENON OF THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A.V., Aseev S.M. SIAM Journal on Control and Optimization. Том 35. 1997. С. 930-952
ABNORMAL EXTREMAL PROBLEMS AND OPTIMALITY CONDITIONS Статья Arutyunov A.V. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 30. 1997. С. 2461-2467
OPTIMALITY CONDITIONS IN ABNORMAL EXTREMAL PROBLEMS Статья Arutyunov A.V. Systems and Control Letters. Elsevier. Том 27. 1996. С. 279-284
ON THE THEORY OF ABNORMAL EXTREMAL PROBLEMS WITH A FINITE-DIMENSIONAL IMAGE Статья Arutyunov A.V. Doklady Mathematics. Том 53. 1996. С. 362-365
STATE CONSTRAINTS IN OPTIMAL CONTROL. THE DEGENERACY PHENOMENON Статья Arutyunov A.V., Aseev S.M. Systems and Control Letters. Elsevier. Том 26. 1995. С. 267-273
MAXIMUM PRINCIPLE AND SECOND-ORDER CONDITIONS FOR MINIMAX PROBLEMS OF OPTIMAL CONTROL Статья Arutyunov A.V., Silin D.B., Zerkalov L.G. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 75. 1992. С. 521-533
PROPERTIES OF QUADRATIC MAPS IN A BANACH SPACE Статья Arutyunov A.V. Mathematical Notes. Том 50. 1991. С. 993-999
NECESSARY CONDITIONS FOR AN EXTREMUM IN AN ABNORMAL PROBLEM WITH EQUALITY CONSTRAINTS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 45. 1990. С. 223-224