ON THE EXTENSION OF CLASSICAL CALCULUS OF VARIATIONS AND OPTIMAL CONTROL TO PROBLEMS WITH DISCONTINUOUS TRAJECTORIES Статья Arutyunov A., Karamzin D., Pereira F. Proceedings of the IEEE Conference on Decision and Control. 2012. С. 6406-6411
ON SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS IN FINITE-DIMENSIONAL ABNORMAL OPTIMIZATION PROBLEMS Статья Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Том 85. 2012. С. 328-330
REGULAR ZEROS OF QUADRATIC MAPS AND THEIR APPLICATION Статья Arutyunov A.V., Karamzin D.Yu. Sbornik Mathematics. Russian Academy of Sciences. Том 202. 2011. С. 783-806
THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS BY R.V. GAMKRELIDZE: REVISITED Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 149. 2011. С. 474-493
R.V. GAMKRELIDZE'S MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH BOUNDED PHASE COORDINATES AND ITS RELATION TO OTHER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Karamzin D.Y., Pereira F. Doklady Mathematics. Том 83. 2011. С. 131-135
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS Статья Arutyunov A.V., Zhukovskiy S.E. Applicable Analysis. Том 90. 2011. С. 889-898
ON THE WELL-POSEDNESS OF DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Статья Arutyunov A.V., Zhukovskii E.S., Zhukovskii S.E. Differential Equations. Том 47. 2011. С. 1541-1555
ON A GENERALIZATION OF THE IMPULSIVE CONTROL CONCEPT: CONTROLLING SYSTEM JUMPS Статья Arutyunov A., Karamzin D., Pereira F.L. Discrete and Continuous Dynamical Systems- Series A. American Institute of Mathematical Sciences. Том 29. 2011. С. 403-415
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS Статья Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 18-27
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS Статья Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Том 46. 2010. С. 1561-1570
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Mathematical Sciences (United States). Springer New York LLC. Том 165. 2010. С. 654-688
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS Статья Arutyunov A.V., Zhukovskiy S.E. Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 12-22
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Optimization. Том 59. 2010. С. 1067-1083
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Yu., Pereira F. Doklady Mathematics. Том 81. 2010. С. 418-421
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM Статья Arutyunov A.V. Differential Equations. Том 46. 2010. С. 1786-1788
NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 140. 2009. С. 391-408
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Статья Avakov E.R., Arutyunov A.V., Zhukovskii E.S. Differential Equations. Том 45. 2009. С. 627-649
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS Статья Arutyunov A.V., Gel'man B.D. Computational Mathematics and Mathematical Physics. Том 49. 2009. С. 1111-1118
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Izmailov A.F., Jaćimović V. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 359. 2009. С. 752-764
LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS Статья Arutyunov A., Avakov E., Gel'Man B., Dmitruk A., Obukhovskii V. Journal of Fixed Point Theory and Applications. Том 5. 2009. С. 105-127
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES Статья Arutyunov A.V. Doklady Mathematics. Том 80. 2009. С. 555-557
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON Статья Arutyunov A.V. Differential Equations. Том 45. 2009. С. 1595-1601
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS Статья Arutyunov A.V. Mathematical Notes. Том 86. 2009. С. 153-158
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS Статья Arutyunov A.V. Mathematical Notes. Том 84. 2008. С. 155-165
EXACT PENALTIES FOR OPTIMIZATION PROBLEMS WITH 2-REGULAR EQUALITY CONSTRAINTS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 48. 2008. С. 346-353