PROPERTIES OF SURJECTIVE REAL QUADRATIC MAPS Article Arutyunov A.V., Zhukovskiy S.E. Sbornik Mathematics. Russian Academy of Sciences. Vol. 207. 2016. P. 1187-1214
NON-DEGENERATE NECESSARY OPTIMALITY CONDITIONS FOR THE OPTIMAL CONTROL PROBLEM WITH EQUALITY-TYPE STATE CONSTRAINTS Article Arutyunov A.V., Karamzin D.Y. Journal of Global Optimization. Springer New York LLC. Vol. 64. 2016. P. 623-647
ON THE CONTINUITY OF INVERSE MAPPINGS FOR LIPSCHITZ PERTURBATIONS OF COVERING MAPPINGS Article Arutyunov A.V., Zhukovskiy S.E. Journal of Mathematical Sciences (United States). Springer New York LLC. Vol. 217. 2016. P. 731-735
ON SURJECTIVE QUADRATIC MAPPINGS Article Arutyunov A.V., Zhukovskii S.E. Mathematical Notes. Vol. 99. 2016. P. 192-195
SECOND ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS WITH EQUALITY CONSTRAINTS Article 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. P. 1069-1073
PROPERTIES OF EXTREMALS IN OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V., Karamzin D.Y. Differential Equations. Vol. 52. 2016. P. 1411-1422
INVESTIGATION OF REGULARITY CONDITIONS IN OPTIMAL CONTROL PROBLEMS WITH GEOMETRIC MIXED CONSTRAINTS Article Arutyunov A.V., Karamzin D.Y., Pereira F.L., Silva G.N. Optimization. Vol. 65. 2016. P. 185-206
SOME PROPERTIES AND APPLICATIONS OF THE HAUSDORFF DISTANCE Article Arutyunov A.V., Vartapetov S.A., Zhukovskiy S.E. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 171. 2016. P. 527-535
COINCIDENCE POINTS PRINCIPLE FOR SET-VALUED MAPPINGS IN PARTIALLY ORDERED SPACES Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Topology and its Applications. Vol. 201. 2016. P. 330-343
CONDITIONS FOR THE ABSENCE OF JUMPS OF THE SOLUTION TO THE ADJOINT SYSTEM OF THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. Proceedings of the Steklov Institute of Mathematics. Vol. 292. 2016. P. 27-35
THEORY OF (Q 1, Q 2)-QUASIMETRIC SPACES AND COINCIDENCE POINTS Article Arutyunov A.V., Greshnov A.V. Doklady Mathematics. Vol. 94. 2016. P. 434-437
ON SOME CONTINUITY PROPERTIES OF THE MEASURE LAGRANGE MULTIPLIER FROM THE MAXIMUM PRINCIPLE FOR STATE CONSTRAINED PROBLEMS Article Arutyunov A.V., Karamzin D.Y.U. SIAM Journal on Control and Optimization. Vol. 53. 2015. P. 2514-2540
STATE CONSTRAINTS IN IMPULSIVE CONTROL PROBLEMS: GAMKRELIDZE-LIKE CONDITIONS OF OPTIMALITY Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 166. 2015. P. 440-459
COINCIDENCE POINTS IN GENERALIZED METRIC SPACES Article Arutyunov A.V., Zhukovskiy S.E. Set-Valued Analysis. Vol. 23. 2015. P. 355-373
ON ESTIMATES FOR SOLUTIONS OF SYSTEMS OF CONVEX INEQUALITIES Article Arutyunov A.V., Zhukovskiy S.E. Computational Mathematics and Mathematical Physics. Vol. 55. 2015. P. 1444-1450
ON THE SOLVABILITY OF IMPLICIT DIFFERENTIAL INCLUSIONS Article Arutyunov A., Zhukovskiy E., Zhukovskiy S., De Oliveira V.A., Lobo Pereira F. Applicable Analysis. Vol. 94. 2015. P. 129-143
STABILITY THEOREMS FOR ESTIMATING THE DISTANCE TO A SET OF COINCIDENCE POINTS Article Arutyunov A.V., Avakov E.R., Zhukovskiy S.E. SIAM Journal on Optimization. Vol. 25. 2015. P. 807-828
APPROXIMATION TO SOLUTIONS OF LINEAR CONTROL SYSTEMS BY COMPACTLY SUPPORTED SOLUTIONS Article Arutyunov A.V. Differential Equations. Vol. 51. 2015. P. 792-797
ON THE STRUCTURE OF THE SET OF COINCIDENCE POINTS Article Arutyunov A.V., Gel'man B.D. Sbornik Mathematics. Russian Academy of Sciences. Vol. 206. 2015. P. 370-388
COINCIDENCE POINTS PRINCIPLE FOR MAPPINGS IN PARTIALLY ORDERED SPACES Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Topology and its Applications. Vol. 179. 2015. P. 13-33
CARISTI’S CONDITION AND EXISTENCE OF A MINIMUM OF A LOWER BOUNDED FUNCTION IN A METRIC SPACE. APPLICATIONS TO THE THEORY OF COINCIDENCE POINTS Article Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Vol. 291. 2015. P. 24-37
UNIFORM ESTIMATES OF DISTANCES TO A COINCIDENCE POINT SET Article Avakov E.R., Arutyunov A.V., Zhukovskiy S.E. Doklady Mathematics. Vol. 92. 2015. P. 397-400
A COINCIDENCE THEOREM FOR MULTIVALUED MAPS AND ITS APPLICATIONS Article Arutyunov A., Gelman B., Obukhovskii V. Journal of Fixed Point Theory and Applications. Vol. 17. 2015. P. 331-340
CONTINUOUS DEPENDENCE OF COINCIDENCE POINTS ON A PARAMETER Article Arutyunov A., Zhukovskiy S. Set-Valued Analysis. Vol. 23. 2015. P. 23-41
MAXIMUM PRINCIPLE IN AN OPTIMAL CONTROL PROBLEM WITH EQUALITY STATE CONSTRAINTS Article Arutyunov A.V., Karamzin D.Y. Differential Equations. Vol. 51. 2015. P. 33-46
SOLVABILITY OF IMPLICIT DIFFERENCE EQUATIONS Article Arutyunov A., Pereira F., Zhukovskiy S. Lecture Notes in Electrical Engineering. Springer Verlag. Vol. 321 LNEE. 2015. P. 23-28
THE COINCIDENCE POINT PROBLEM FOR SET-VALUED MAPPINGS AND ULAM-HYERS STABILITY Article Arutyunov A.V. Doklady Mathematics. Vol. 89. 2014. P. 188-191
APPLICATION OF COVERING MAPPINGS TO CONSTRAINED DYNAMIC SYSTEMS AND DIFFERENTIAL INCLUSIONS Article Arutyunov A.V., Pereira F.L., Zhukovskiy S.E. 2014 European Control Conference, ECC 2014. Institute of Electrical and Electronics Engineers Inc.. 2014. P. 1456-1461
COINCIDENCE POINTS OF TWO MAPS Article Arutyunov A.V. Functional Analysis and its Applications. Vol. 48. 2014. P. 72-75
AN INVESTIGATION OF SMOOTH MAPS IN A NEIGHBOURHOOD OF AN ABNORMAL POINT Article Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Izvestiya Mathematics. Institute of Physics Publishing. Vol. 78. 2014. P. 213-250
PERTURBATION OF SOLUTIONS OF THE COINCIDENCE POINT PROBLEM FOR TWO MAPPINGS Article Arutyunov A.V., Zhukovskiy S.E. Doklady Mathematics. Vol. 89. 2014. P. 346-348
OPTIMALITY CONDITIONS FOR 2-REGULAR PROBLEMS WITH NONSMOOTH OBJECTIVE FUNCTIONS Article Arutyunov A.V., Izmailov A.F., Shvartsman I. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 90. 2013. P. 37-45
PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM Article Arutyunov A.V. Mathematical Notes. Vol. 94. 2013. P. 32-40
COINCIDENCE POINTS OF SET-VALUED MAPPINGS IN PARTIALLY ORDERED SPACES Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Doklady Mathematics. Vol. 88. 2013. P. 727-729
EQUILIBRIUM PRICE AS A COINCIDENCE POINT OF TWO MAPPINGS Article Arutyunov A.V., Zhukovskiy S.E., Pavlova N.G. Computational Mathematics and Mathematical Physics. Vol. 53. 2013. P. 158-169
ON COINCIDENCE POINTS OF MAPPINGS IN PARTIALLY ORDERED SPACES Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Doklady Mathematics. Vol. 88. 2013. P. 710-713
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
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR CONSTRAINED IMPULSIVE CONTROL PROBLEMS Article Arutyunov A.V., Karamzin D.Yu., Pereira F. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 75. 2012. P. 1045-1057
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Article Arutyunov A.V. Functional Analysis and its Applications. Vol. 46. 2012. P. 225-227
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Article Arutyunov A.V. Optimization Letters. Vol. 6. 2012. P. 1009-1015
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
PROPERTIES OF THE LAGRANGE MULTIPLIERS IN THE PONTRYAGIN MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V. Differential Equations. Vol. 48. 2012. P. 1586-1595
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
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 67. 2012. P. 403-457
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
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
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
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