SECOND ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS WITH EQUALITY CONSTRAINTS Статья Arutyunov A.V., Shvartsman I.A., Zhukovskaya Z.T. 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc.. 2016. С. 1069-1073
ON THE CONTINUITY OF INVERSE MAPPINGS FOR LIPSCHITZ PERTURBATIONS OF COVERING MAPPINGS Статья Arutyunov A.V., Zhukovskiy S.E. Journal of Mathematical Sciences (United States). Springer New York LLC. Том 217. 2016. С. 731-735
INVESTIGATION OF REGULARITY CONDITIONS IN OPTIMAL CONTROL PROBLEMS WITH GEOMETRIC MIXED CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L., Silva G.N. Optimization. Том 65. 2016. С. 185-206
PROPERTIES OF EXTREMALS IN OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Y. Differential Equations. Том 52. 2016. С. 1411-1422
COINCIDENCE POINTS PRINCIPLE FOR SET-VALUED MAPPINGS IN PARTIALLY ORDERED SPACES Статья Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Topology and its Applications. Том 201. 2016. С. 330-343
NON-DEGENERATE NECESSARY OPTIMALITY CONDITIONS FOR THE OPTIMAL CONTROL PROBLEM WITH EQUALITY-TYPE STATE CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Y. Journal of Global Optimization. Springer New York LLC. Том 64. 2016. С. 623-647
ON THE SOLVABILITY OF IMPLICIT DIFFERENTIAL INCLUSIONS Статья Arutyunov A., Zhukovskiy E., Zhukovskiy S., De Oliveira V.A., Lobo Pereira F. Applicable Analysis. Том 94. 2015. С. 129-143
SOLVABILITY OF IMPLICIT DIFFERENCE EQUATIONS Статья Arutyunov A., Pereira F., Zhukovskiy S. Lecture Notes in Electrical Engineering. Springer Verlag. Том 321 LNEE. 2015. С. 23-28
APPROXIMATION TO SOLUTIONS OF LINEAR CONTROL SYSTEMS BY COMPACTLY SUPPORTED SOLUTIONS Статья Arutyunov A.V. Differential Equations. Том 51. 2015. С. 792-797
CARISTI’S CONDITION AND EXISTENCE OF A MINIMUM OF A LOWER BOUNDED FUNCTION IN A METRIC SPACE. APPLICATIONS TO THE THEORY OF COINCIDENCE POINTS Статья Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Том 291. 2015. С. 24-37
COINCIDENCE POINTS PRINCIPLE FOR MAPPINGS IN PARTIALLY ORDERED SPACES Статья Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Topology and its Applications. Том 179. 2015. С. 13-33
A COINCIDENCE THEOREM FOR MULTIVALUED MAPS AND ITS APPLICATIONS Статья Arutyunov A., Gelman B., Obukhovskii V. Journal of Fixed Point Theory and Applications. Том 17. 2015. С. 331-340
STATE CONSTRAINTS IN IMPULSIVE CONTROL PROBLEMS: GAMKRELIDZE-LIKE CONDITIONS OF OPTIMALITY Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 166. 2015. С. 440-459
CONTINUOUS DEPENDENCE OF COINCIDENCE POINTS ON A PARAMETER Статья Arutyunov A., Zhukovskiy S. Set-Valued Analysis. Том 23. 2015. С. 23-41
MAXIMUM PRINCIPLE IN AN OPTIMAL CONTROL PROBLEM WITH EQUALITY STATE CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Y. Differential Equations. Том 51. 2015. С. 33-46
ON THE STRUCTURE OF THE SET OF COINCIDENCE POINTS Статья Arutyunov A.V., Gel'man B.D. Sbornik Mathematics. Russian Academy of Sciences. Том 206. 2015. С. 370-388
ON SOME CONTINUITY PROPERTIES OF THE MEASURE LAGRANGE MULTIPLIER FROM THE MAXIMUM PRINCIPLE FOR STATE CONSTRAINED PROBLEMS Статья Arutyunov A.V., Karamzin D.Y.U. SIAM Journal on Control and Optimization. Том 53. 2015. С. 2514-2540
ON ESTIMATES FOR SOLUTIONS OF SYSTEMS OF CONVEX INEQUALITIES Статья Arutyunov A.V., Zhukovskiy S.E. Computational Mathematics and Mathematical Physics. Том 55. 2015. С. 1444-1450
COINCIDENCE POINTS IN GENERALIZED METRIC SPACES Статья Arutyunov A.V., Zhukovskiy S.E. Set-Valued Analysis. Том 23. 2015. С. 355-373
STABILITY THEOREMS FOR ESTIMATING THE DISTANCE TO A SET OF COINCIDENCE POINTS Статья Arutyunov A.V., Avakov E.R., Zhukovskiy S.E. SIAM Journal on Optimization. Том 25. 2015. С. 807-828
UNIFORM ESTIMATES OF DISTANCES TO A COINCIDENCE POINT SET Статья Avakov E.R., Arutyunov A.V., Zhukovskiy S.E. Doklady Mathematics. Том 92. 2015. С. 397-400
COINCIDENCE POINTS OF TWO MAPS Статья Arutyunov A.V. Functional Analysis and its Applications. Том 48. 2014. С. 72-75
APPLICATION OF COVERING MAPPINGS TO CONSTRAINED DYNAMIC SYSTEMS AND DIFFERENTIAL INCLUSIONS Статья Arutyunov A.V., Pereira F.L., Zhukovskiy S.E. 2014 European Control Conference, ECC 2014. Institute of Electrical and Electronics Engineers Inc.. 2014. С. 1456-1461
THE COINCIDENCE POINT PROBLEM FOR SET-VALUED MAPPINGS AND ULAM-HYERS STABILITY Статья Arutyunov A.V. Doklady Mathematics. Том 89. 2014. С. 188-191
PERTURBATION OF SOLUTIONS OF THE COINCIDENCE POINT PROBLEM FOR TWO MAPPINGS Статья Arutyunov A.V., Zhukovskiy S.E. Doklady Mathematics. Том 89. 2014. С. 346-348
AN INVESTIGATION OF SMOOTH MAPS IN A NEIGHBOURHOOD OF AN ABNORMAL POINT Статья Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Izvestiya Mathematics. Institute of Physics Publishing. Том 78. 2014. С. 213-250
OPTIMALITY CONDITIONS FOR 2-REGULAR PROBLEMS WITH NONSMOOTH OBJECTIVE FUNCTIONS Статья Arutyunov A.V., Izmailov A.F., Shvartsman I. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 90. 2013. С. 37-45
ON COINCIDENCE POINTS OF MAPPINGS IN PARTIALLY ORDERED SPACES Статья Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Doklady Mathematics. Том 88. 2013. С. 710-713
COINCIDENCE POINTS OF SET-VALUED MAPPINGS IN PARTIALLY ORDERED SPACES Статья Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Doklady Mathematics. Том 88. 2013. С. 727-729
EQUILIBRIUM PRICE AS A COINCIDENCE POINT OF TWO MAPPINGS Статья Arutyunov A.V., Zhukovskiy S.E., Pavlova N.G. Computational Mathematics and Mathematical Physics. Том 53. 2013. С. 158-169
PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM Статья Arutyunov A.V. Mathematical Notes. Том 94. 2013. С. 32-40
PROPERTIES OF THE LAGRANGE MULTIPLIERS IN THE PONTRYAGIN MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A.V. Differential Equations. Том 48. 2012. С. 1586-1595
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
INVERSE FUNCTION IN THE NEIGHBORHOOD OF AN ABNORMAL POINT OF A SMOOTH MAP Статья Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Том 85. 2012. С. 305-308
DIFFERENTIAL PROPERTIES OF THE MINIMUM FUNCTION FOR DIAGONALIZABLE QUADRATIC PROBLEMS Статья Arutyunov A.V., Zhukovskiy S.E., Mingaleeva Z.T. Computational Mathematics and Mathematical Physics. Том 52. 2012. С. 1342-1350
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 67. 2012. С. 403-457
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR CONSTRAINED IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Yu., Pereira F. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 75. 2012. С. 1045-1057
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Статья Arutyunov A.V. Optimization Letters. Том 6. 2012. С. 1009-1015
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
COVERING MAPPINGS AND WELL-POSEDNESS OF NONLINEAR VOLTERRA EQUATIONS Статья Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 75. 2012. С. 1026-1044
AN ITERATIVE METHOD FOR FINDING COINCIDENCE POINTS OF TWO MAPPINGS Статья Arutyunov A.V. Computational Mathematics and Mathematical Physics. Том 52. 2012. С. 1483-1486
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Статья Arutyunov A.V. Functional Analysis and its Applications. Том 46. 2012. С. 225-227
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
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS Статья Arutyunov A.V., Zhukovskiy S.E. Applicable Analysis. Том 90. 2011. С. 889-898
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
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
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS Статья Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Том 46. 2010. С. 1561-1570
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS Статья Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 18-27