ON SURJECTIVE QUADRATIC MAPPINGS Статья Arutyunov A.V., Zhukovskii S.E. Mathematical Notes. Том 99. 2016. С. 192-195
THEORY OF (Q 1, Q 2)-QUASIMETRIC SPACES AND COINCIDENCE POINTS Статья Arutyunov A.V., Greshnov A.V. Doklady Mathematics. Том 94. 2016. С. 434-437
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
CONDITIONS FOR THE ABSENCE OF JUMPS OF THE SOLUTION TO THE ADJOINT SYSTEM OF THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Proceedings of the Steklov Institute of Mathematics. Том 292. 2016. С. 27-35
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
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
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
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
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
CONTINUOUS DEPENDENCE OF COINCIDENCE POINTS ON A PARAMETER Статья Arutyunov A., Zhukovskiy S. Set-Valued Analysis. Том 23. 2015. С. 23-41
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
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
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
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
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
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
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
APPROXIMATION TO SOLUTIONS OF LINEAR CONTROL SYSTEMS BY COMPACTLY SUPPORTED SOLUTIONS Статья Arutyunov A.V. Differential Equations. Том 51. 2015. С. 792-797
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
THE COINCIDENCE POINT PROBLEM FOR SET-VALUED MAPPINGS AND ULAM-HYERS STABILITY Статья Arutyunov A.V. Doklady Mathematics. Том 89. 2014. С. 188-191
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
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
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
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
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
PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM Статья Arutyunov A.V. Mathematical Notes. Том 94. 2013. С. 32-40
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
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
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
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 TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Статья Arutyunov A.V. Optimization Letters. Том 6. 2012. С. 1009-1015
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Статья Arutyunov A.V. Functional Analysis and its Applications. Том 46. 2012. С. 225-227
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
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
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
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
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
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
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
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
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
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS Статья Arutyunov A.V., Zhukovskiy S.E. Applicable Analysis. Том 90. 2011. С. 889-898
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM Статья Arutyunov A.V. Differential Equations. Том 46. 2010. С. 1786-1788
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Yu., Pereira F. Doklady Mathematics. Том 81. 2010. С. 418-421