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
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
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
ON SURJECTIVE QUADRATIC MAPPINGS Article Arutyunov A.V., Zhukovskii S.E. Mathematical Notes. Vol. 99. 2016. P. 192-195
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
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 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
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
COINCIDENCE POINTS IN GENERALIZED METRIC SPACES Article Arutyunov A.V., Zhukovskiy S.E. Set-Valued Analysis. Vol. 23. 2015. P. 355-373
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
APPROXIMATION TO SOLUTIONS OF LINEAR CONTROL SYSTEMS BY COMPACTLY SUPPORTED SOLUTIONS Article Arutyunov A.V. Differential Equations. Vol. 51. 2015. P. 792-797
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
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
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
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
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
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
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
CONTINUOUS DEPENDENCE OF COINCIDENCE POINTS ON A PARAMETER Article Arutyunov A., Zhukovskiy S. Set-Valued Analysis. Vol. 23. 2015. P. 23-41
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
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
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
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
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
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
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
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 67. 2012. P. 403-457
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
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
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
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
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
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 TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Article Arutyunov A.V. Optimization Letters. Vol. 6. 2012. P. 1009-1015
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
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
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
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS Article Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P. 18-27
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