IMPLICIT FUNCTION THEOREM AS A REALIZATION OF THE LAGRANGE PRINCIPLE. ABNORMAL POINTS Article Arutyunov A.V. Sbornik Mathematics. Russian Academy of Sciences. Vol. 191. 2000. P. 1-24
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS Article Arutyunov A.V. Doklady Mathematics. Vol. 60. 1999. P. 231-234
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS Article Arutyunov A.V., Rozova V.N. Differential Equations. Vol. 35. 1999. P. 723-728
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS Article Arutyunov A.V. Transactions of the American Mathematical Society. Vol. 350. 1998. P. 4341-4365
NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH INTERMEDIATE CONSTRAINTS Article Arutyunov A.V., Okoulevitch A.I. Journal of Dynamical and Control Systems. Vol. 4. 1998. P. 49-58
DEGENERACY PHENOMENON IN OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V., Aseev S.M. Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 1997. P. 300-304
ABNORMAL EXTREMAL PROBLEMS AND OPTIMALITY CONDITIONS Article Arutyunov A.V. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 30. 1997. P. 2461-2467
INVESTIGATION OF THE DEGENERACY PHENOMENON OF THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V., Aseev S.M. SIAM Journal on Control and Optimization. Vol. 35. 1997. P. 930-952
OPTIMALITY CONDITIONS IN ABNORMAL EXTREMAL PROBLEMS Article Arutyunov A.V. Systems and Control Letters. Elsevier. Vol. 27. 1996. P. 279-284
ON THE THEORY OF ABNORMAL EXTREMAL PROBLEMS WITH A FINITE-DIMENSIONAL IMAGE Article Arutyunov A.V. Doklady Mathematics. Vol. 53. 1996. P. 362-365
STATE CONSTRAINTS IN OPTIMAL CONTROL. THE DEGENERACY PHENOMENON Article Arutyunov A.V., Aseev S.M. Systems and Control Letters. Elsevier. Vol. 26. 1995. P. 267-273
MAXIMUM PRINCIPLE AND SECOND-ORDER CONDITIONS FOR MINIMAX PROBLEMS OF OPTIMAL CONTROL Article Arutyunov A.V., Silin D.B., Zerkalov L.G. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 75. 1992. P. 521-533
PROPERTIES OF QUADRATIC MAPS IN A BANACH SPACE Article Arutyunov A.V. Mathematical Notes. Vol. 50. 1991. P. 993-999
NECESSARY CONDITIONS FOR AN EXTREMUM IN AN ABNORMAL PROBLEM WITH EQUALITY CONSTRAINTS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 45. 1990. P. 223-224