COVERING MAPPINGS AND WELL-POSEDNESS OF NONLINEAR VOLTERRA EQUATIONS Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 75. 2012. P. 1026-1044
AN ITERATIVE METHOD FOR FINDING COINCIDENCE POINTS OF TWO MAPPINGS Article Arutyunov A.V. Computational Mathematics and Mathematical Physics. Vol. 52. 2012. P. 1483-1486
INVERSE FUNCTION IN THE NEIGHBORHOOD OF AN ABNORMAL POINT OF A SMOOTH MAP Article Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Vol. 85. 2012. P. 305-308
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Article Arutyunov A.V. Functional Analysis and its Applications. Vol. 46. 2012. P. 225-227
ON SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS IN FINITE-DIMENSIONAL ABNORMAL OPTIMIZATION PROBLEMS Article Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Vol. 85. 2012. P. 328-330
ON THE EXTENSION OF CLASSICAL CALCULUS OF VARIATIONS AND OPTIMAL CONTROL TO PROBLEMS WITH DISCONTINUOUS TRAJECTORIES Article Arutyunov A., Karamzin D., Pereira F. Proceedings of the IEEE Conference on Decision and Control. 2012. P. 6406-6411
DIFFERENTIAL PROPERTIES OF THE MINIMUM FUNCTION FOR DIAGONALIZABLE QUADRATIC PROBLEMS Article Arutyunov A.V., Zhukovskiy S.E., Mingaleeva Z.T. Computational Mathematics and Mathematical Physics. Vol. 52. 2012. P. 1342-1350
ON A GENERALIZATION OF THE IMPULSIVE CONTROL CONCEPT: CONTROLLING SYSTEM JUMPS Article Arutyunov A., Karamzin D., Pereira F.L. Discrete and Continuous Dynamical Systems- Series A. American Institute of Mathematical Sciences. Vol. 29. 2011. P. 403-415
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS Article Arutyunov A.V., Zhukovskiy S.E. Applicable Analysis. Vol. 90. 2011. P. 889-898
THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS BY R.V. GAMKRELIDZE: REVISITED Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 149. 2011. P. 474-493
ON THE WELL-POSEDNESS OF DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Article Arutyunov A.V., Zhukovskii E.S., Zhukovskii S.E. Differential Equations. Vol. 47. 2011. P. 1541-1555
REGULAR ZEROS OF QUADRATIC MAPS AND THEIR APPLICATION Article Arutyunov A.V., Karamzin D.Yu. Sbornik Mathematics. Russian Academy of Sciences. Vol. 202. 2011. P. 783-806
R.V. GAMKRELIDZE'S MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH BOUNDED PHASE COORDINATES AND ITS RELATION TO OTHER OPTIMALITY CONDITIONS Article Arutyunov A.V., Karamzin D.Y., Pereira F. Doklady Mathematics. Vol. 83. 2011. P. 131-135
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS Article Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Vol. 46. 2010. P. 1561-1570
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Mathematical Sciences (United States). Springer New York LLC. Vol. 165. 2010. P. 654-688
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. Optimization. Vol. 59. 2010. P. 1067-1083
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM Article Arutyunov A.V. Differential Equations. Vol. 46. 2010. P. 1786-1788
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS Article Arutyunov A.V., Zhukovskiy S.E. Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P. 12-22
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS Article Arutyunov A.V., Karamzin D.Yu., Pereira F. Doklady Mathematics. Vol. 81. 2010. P. 418-421
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS Article Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P. 18-27
NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 140. 2009. P. 391-408
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES Article Arutyunov A.V. Doklady Mathematics. Vol. 80. 2009. P. 555-557
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS Article Arutyunov A.V., Izmailov A.F., Jaćimović V. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Vol. 359. 2009. P. 752-764
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS Article Arutyunov A.V., Gel'man B.D. Computational Mathematics and Mathematical Physics. Vol. 49. 2009. P. 1111-1118
LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS Article Arutyunov A., Avakov E., Gel'Man B., Dmitruk A., Obukhovskii V. Journal of Fixed Point Theory and Applications. Vol. 5. 2009. P. 105-127