IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY Article Arutyunov A.V. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 195-205
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY Article Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Vol. 31. 2006. P. 526-543
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS Article Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Vol. 74. 2006. P. 473-476
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS Article Arutyunov A.V. Differential Equations. Vol. 42. 2006. P. 1515-1523
SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A., Pereira F.L. Mathematics of Operations Research. Vol. 31. 2006. P. 1-12
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS Article Arutyunov A.V., Kruglova E.V. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 537-540
NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS Article Arutyunov A.V., Karamzin D.Yu. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 1293-1298
NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS Article Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Vol. 73. 2006. P. 340-343
SENSITIVITY ANALYSIS FOR CONE-CONSTRAINED OPTIMIZATION PROBLEMS UNDER THE RELAXED CONSTRAINT QUALIFICATIONS Article Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Vol. 30. 2005. P. 333-353
NECESSARY CONDITIONS FOR IMPULSIVE NONLINEAR OPTIMAL CONTROL PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A., Dykhta V., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 124. 2005. P. 55-77
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS Article Arutyunov A.V. Mathematical Notes. Vol. 77. 2005. P. 447-460
IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT Article Arutyunov A.V. Mathematical Notes. Vol. 78. 2005. P. 573-576
NECESSARY OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A.V., Pereira F.L. Doklady Akademii Nauk. Vol. 402. 2005. P. 727-731
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Akademii Nauk. Vol. 402. 2005. P. 295-297
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A.V., Pereira F.L. Doklady Mathematics. Vol. 71. 2005. P. 442-445
SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL Article Arutyunov A., Pereira F. IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Vol. 16. 2005. P. 483-488
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 60. 2005. P. 157-158
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 71. 2005. P. 370-372
A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS Article Arutyunov A., Karamzin D., Pereira F. SIAM Journal on Control and Optimization. Vol. 43. 2005. P. 1812-1843
NONDEGENERATE NECESSARY CONDITIONS OF OPTIMALITY FOR PROBLEMS WITHOUT NORMALITY ASSUMPTIONS Article Arutyunov A., Pereira F.L. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005. 2005. P. 7302-7307
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Article Avakov E.R., Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 924-927
ON CONVERGENCE RATE ESTIMATES FOR POWER PENALTY METHODS Article Avakov E.R., Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 44. 2004. P. 1684-1695
A SIMPLE 'FINITE APPROXIMATIONS' PROOF OF THE PONTRYAGIN MAXIMUM PRINCIPLE UNDER REDUCED DIFFERENTIABILITY HYPOTHESES Article Arutyunov A.V., Vinter R.B. Set-Valued Analysis. Vol. 12. 2004. P. 5-24
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS Article Arutyunov A.V., Pavlova N.G. Differential Equations. Vol. 40. 2004. P. 1645-1648
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 904-907