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
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
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
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
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
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
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 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
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
THE COINCIDENCE POINT PROBLEM FOR SET-VALUED MAPPINGS AND ULAM-HYERS STABILITY Article Arutyunov A.V. Doklady Mathematics. Vol. 89. 2014. P. 188-191
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
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
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
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
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
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
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
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Article Arutyunov A.V. Functional Analysis and its Applications. Vol. 46. 2012. P. 225-227
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 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
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
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS Article Arutyunov A.V., Zhukovskiy S.E. Applicable Analysis. Vol. 90. 2011. P. 889-898
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
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
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
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
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM Article Arutyunov A.V. Differential Equations. Vol. 46. 2010. P. 1786-1788
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
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS Article Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Vol. 46. 2010. P. 1561-1570
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
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
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Article Avakov E.R., Arutyunov A.V., Zhukovskii E.S. Differential Equations. Vol. 45. 2009. P. 627-649
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
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON Article Arutyunov A.V. Differential Equations. Vol. 45. 2009. P. 1595-1601
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