COINCIDENCE POINTS OF MULTIVALUED MAPPINGS IN (Q 1, Q 2)-QUASIMETRIC SPACES Статья Arutyunov A.V., Greshnov A.V. Doklady Mathematics. Том 96. 2017. С. 438-441
INVESTIGATION OF CONTROLLABILITY AND REGULARITY CONDITIONS FOR STATE CONSTRAINED PROBLEMS Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. IFAC-PapersOnLine. Elsevier B.V.. Том 50. 2017. С. 6295-6302
ON THE EXISTENCE OF SOLUTIONS OF NONLINEAR EQUATIONS Статья Arutyunov A.V. Doklady Mathematics. Том 95. 2017. С. 46-49
SECOND-ORDER OPTIMALITY CONDITIONS FOR SINGULAR EXTREMALS IN OPTIMAL CONTROL PROBLEMS WITH EQUALITY ENDPOINT CONSTRAINTS Статья Arutyunov A.V., Shvartsman I.A., Zhukovskaya Z.T. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 157. 2017. С. 20-43
COINCIDENCE POINTS OF MAPPINGS IN VECTOR METRIC SPACES WITH APPLICATIONS TO DIFFERENTIAL EQUATIONS AND CONTROL SYSTEMS Статья Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Том 53. 2017. С. 1440-1448
PROPERTIES OF SURJECTIVE REAL QUADRATIC MAPS Статья Arutyunov A.V., Zhukovskiy S.E. Sbornik Mathematics. Russian Academy of Sciences. Том 207. 2016. С. 1187-1214
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
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 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
ON SURJECTIVE QUADRATIC MAPPINGS Статья Arutyunov A.V., Zhukovskii S.E. Mathematical Notes. Том 99. 2016. С. 192-195
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
SOME PROPERTIES AND APPLICATIONS OF THE HAUSDORFF DISTANCE Статья Arutyunov A.V., Vartapetov S.A., Zhukovskiy S.E. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 171. 2016. С. 527-535
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
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
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
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
APPROXIMATION TO SOLUTIONS OF LINEAR CONTROL SYSTEMS BY COMPACTLY SUPPORTED SOLUTIONS Статья Arutyunov A.V. Differential Equations. Том 51. 2015. С. 792-797
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
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
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
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
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
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
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
COINCIDENCE POINTS IN GENERALIZED METRIC SPACES Статья Arutyunov A.V., Zhukovskiy S.E. Set-Valued Analysis. Том 23. 2015. С. 355-373
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
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
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
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
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
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
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
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
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Статья Arutyunov A.V. Optimization Letters. Том 6. 2012. С. 1009-1015
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
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
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Статья Arutyunov A.V. Functional Analysis and its Applications. Том 46. 2012. С. 225-227
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 67. 2012. С. 403-457
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