STABILITY OF POSSIBLY NONISOLATED SOLUTIONS OF CONSTRAINED EQUATIONS, WITH APPLICATIONS TO COMPLEMENTARITY AND EQUILIBRIUM PROBLEMS Article Arutyunov A.V., Izmailov A.F. Set-Valued Analysis. Vol. 26. 2018. P. 327-352
(Q-1,Q-2)-QUASIMETRIC SPACES. COVERING MAPPINGS AND COINCIDENCE POINTS Article Arutyunov A.V., Greshnov A.V. Izvestiya Mathematics. Institute of Physics Publishing. Vol. 82. 2018. P. 245-272
SOME PROPERTIES OF TWO-DIMENSIONAL SURJECTIVE P-HOMOGENEOUS MAPS Article Arutyunov A.V., Zhukovskiy S.E., Karamzin D.Y. Computational Mathematics and Mathematical Physics. Vol. 57. 2017. P. 1081-1089
COVERING MAPPINGS AND THEIR APPLICATIONS Article Arutyunov A.V., Zhukovskiy S.E. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc.. 2017.
COINCIDENCE POINTS OF MAPPINGS IN VECTOR METRIC SPACES WITH APPLICATIONS TO DIFFERENTIAL EQUATIONS AND CONTROL SYSTEMS Article Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Vol. 53. 2017. P. 1440-1448
ON THE EXISTENCE OF SOLUTIONS OF NONLINEAR EQUATIONS Article Arutyunov A.V. Doklady Mathematics. Vol. 95. 2017. P. 46-49
INVESTIGATION OF CONTROLLABILITY AND REGULARITY CONDITIONS FOR STATE CONSTRAINED PROBLEMS Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. IFAC-PapersOnLine. Elsevier B.V.. Vol. 50. 2017. P. 6295-6302
SECOND-ORDER OPTIMALITY CONDITIONS FOR SINGULAR EXTREMALS IN OPTIMAL CONTROL PROBLEMS WITH EQUALITY ENDPOINT CONSTRAINTS Article Arutyunov A.V., Shvartsman I.A., Zhukovskaya Z.T. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 157. 2017. P. 20-43
COINCIDENCE POINTS OF MULTIVALUED MAPPINGS IN (Q 1, Q 2)-QUASIMETRIC SPACES Article Arutyunov A.V., Greshnov A.V. Doklady Mathematics. Vol. 96. 2017. P. 438-441
TOPOLOGICAL AND GEOMETRICAL PROPERTIES OF SPACES WITH SYMMETRIC AND NONSYMMETRIC F-QUASIMETRICS Article Arutyunov A.V., Greshnov A.V., Lokutsievskii L.V., Storozhuk K.V. Topology and its Applications. Vol. 221. 2017. P. 178-194
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
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
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
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
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
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
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
ON SURJECTIVE QUADRATIC MAPPINGS Article Arutyunov A.V., Zhukovskii S.E. Mathematical Notes. Vol. 99. 2016. P. 192-195
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
CONTINUOUS DEPENDENCE OF COINCIDENCE POINTS ON A PARAMETER Article Arutyunov A., Zhukovskiy S. Set-Valued Analysis. Vol. 23. 2015. P. 23-41
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
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
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
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
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
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
APPROXIMATION TO SOLUTIONS OF LINEAR CONTROL SYSTEMS BY COMPACTLY SUPPORTED SOLUTIONS Article Arutyunov A.V. Differential Equations. Vol. 51. 2015. P. 792-797
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
COINCIDENCE POINTS IN GENERALIZED METRIC SPACES Article Arutyunov A.V., Zhukovskiy S.E. Set-Valued Analysis. Vol. 23. 2015. P. 355-373
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
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
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 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
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
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
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
PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM Article Arutyunov A.V. Mathematical Notes. Vol. 94. 2013. P. 32-40
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
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
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 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
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
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