CONTINUOUS DEPENDENCE OF COINCIDENCE POINTS ON A PARAMETER ArticleArutyunov A., Zhukovskiy S.Set-Valued Analysis. Том 23. 2015. С. 23-41
COINCIDENCE POINTS OF TWO MAPS ArticleArutyunov A.V.Functional Analysis and its Applications. Том 48. 2014. С. 72-75
THE COINCIDENCE POINT PROBLEM FOR SET-VALUED MAPPINGS AND ULAM-HYERS STABILITY ArticleArutyunov A.V.Doklady Mathematics. Том 89. 2014. С. 188-191
AN INVESTIGATION OF SMOOTH MAPS IN A NEIGHBOURHOOD OF AN ABNORMAL POINT ArticleAvakov E.R., Arutyunov A.V., Karamzin D.Yu.Izvestiya Mathematics. Том 78. 2014. С. 213-250
APPLICATION OF COVERING MAPPINGS TO CONSTRAINED DYNAMIC SYSTEMS AND DIFFERENTIAL INCLUSIONS ArticleArutyunov A.V., Pereira F.L., Zhukovskiy S.E.2014 European Control Conference, ECC 2014. 2014. С. 1456-1461
PERTURBATION OF SOLUTIONS OF THE COINCIDENCE POINT PROBLEM FOR TWO MAPPINGS ArticleArutyunov A.V., Zhukovskiy S.E.Doklady Mathematics. Том 89. 2014. С. 346-348
COINCIDENCE POINTS OF SET-VALUED MAPPINGS IN PARTIALLY ORDERED SPACES ArticleArutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.Doklady Mathematics. Том 88. 2013. С. 727-729
OPTIMALITY CONDITIONS FOR 2-REGULAR PROBLEMS WITH NONSMOOTH OBJECTIVE FUNCTIONS ArticleArutyunov A.V., Izmailov A.F., Shvartsman I.Nonlinear Analysis, Theory, Methods and Applications. Том 90. 2013. С. 37-45
EQUILIBRIUM PRICE AS A COINCIDENCE POINT OF TWO MAPPINGS ArticleArutyunov 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 ArticleArutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.Doklady Mathematics. Том 88. 2013. С. 710-713
PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM ArticleArutyunov A.V.Mathematical Notes. Том 94. 2013. С. 32-40
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR CONSTRAINED IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Yu., Pereira F.Nonlinear Analysis, Theory, Methods and Applications. Том 75. 2012. С. 1045-1057
PROPERTIES OF THE LAGRANGE MULTIPLIERS IN THE PONTRYAGIN MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS ArticleArutyunov A.V.Differential Equations. Том 48. 2012. С. 1586-1595
COVERING MAPPINGS AND WELL-POSEDNESS OF NONLINEAR VOLTERRA EQUATIONS ArticleArutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.Nonlinear Analysis, Theory, Methods and Applications. Том 75. 2012. С. 1026-1044
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS ArticleArutyunov A.V.Russian Mathematical Surveys. Том 67. 2012. С. 403-457
AN ITERATIVE METHOD FOR FINDING COINCIDENCE POINTS OF TWO MAPPINGS ArticleArutyunov A.V.Computational Mathematics and Mathematical Physics. Том 52. 2012. С. 1483-1486
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS ArticleArutyunov A.V.Optimization Letters. Том 6. 2012. С. 1009-1015
ON THE EXTENSION OF CLASSICAL CALCULUS OF VARIATIONS AND OPTIMAL CONTROL TO PROBLEMS WITH DISCONTINUOUS TRAJECTORIES ArticleArutyunov A., Karamzin D., Pereira F.Proceedings of the IEEE Conference on Decision and Control. 2012. С. 6406-6411
DIFFERENTIAL PROPERTIES OF THE MINIMUM FUNCTION FOR DIAGONALIZABLE QUADRATIC PROBLEMS ArticleArutyunov A.V., Zhukovskiy S.E., Mingaleeva Z.T.Computational Mathematics and Mathematical Physics. Том 52. 2012. С. 1342-1350
INVERSE FUNCTION IN THE NEIGHBORHOOD OF AN ABNORMAL POINT OF A SMOOTH MAP ArticleAvakov E.R., Arutyunov A.V., Karamzin D.Yu.Doklady Mathematics. Том 85. 2012. С. 305-308
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS ArticleArutyunov A.V.Functional Analysis and its Applications. Том 46. 2012. С. 225-227
ON SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS IN FINITE-DIMENSIONAL ABNORMAL OPTIMIZATION PROBLEMS ArticleAvakov E.R., Arutyunov A.V., Karamzin D.Yu.Doklady Mathematics. Том 85. 2012. С. 328-330
R.V. GAMKRELIDZE'S MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH BOUNDED PHASE COORDINATES AND ITS RELATION TO OTHER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Karamzin D.Y., Pereira F.Doklady Mathematics. Том 83. 2011. С. 131-135
THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS BY R.V. GAMKRELIDZE: REVISITED ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Optimization Theory and Applications. Том 149. 2011. С. 474-493
ON THE WELL-POSEDNESS OF DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE ArticleArutyunov A.V., Zhukovskii E.S., Zhukovskii S.E.Differential Equations. Том 47. 2011. С. 1541-1555
ON A GENERALIZATION OF THE IMPULSIVE CONTROL CONCEPT: CONTROLLING SYSTEM JUMPS ArticleArutyunov A., Karamzin D., Pereira F.L.Discrete and Continuous Dynamical Systems- Series A. Том 29. 2011. С. 403-415
REGULAR ZEROS OF QUADRATIC MAPS AND THEIR APPLICATION ArticleArutyunov A.V., Karamzin D.Yu.Sbornik Mathematics. Том 202. 2011. С. 783-806
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS ArticleArutyunov A.V., Zhukovskiy S.E.Applicable Analysis. Том 90. 2011. С. 889-898
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS ArticleArutyunov A.V.Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 18-27
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM ArticleArutyunov A.V.Differential Equations. Том 46. 2010. С. 1786-1788
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Mathematical Sciences. Том 165. 2010. С. 654-688
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS ArticleArutyunov A.V., Zhukovskiy S.E.Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 12-22
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS ArticleArutyunov A.V., Zhukovskiy S.E.Differential Equations. Том 46. 2010. С. 1561-1570
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Optimization. Том 59. 2010. С. 1067-1083
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Yu., Pereira F.Doklady Mathematics. Том 81. 2010. С. 418-421
NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Optimization Theory and Applications. Том 140. 2009. С. 391-408
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON ArticleArutyunov A.V.Differential Equations. Том 45. 2009. С. 1595-1601
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE ArticleAvakov E.R., Arutyunov A.V., Zhukovskii E.S.Differential Equations. Том 45. 2009. С. 627-649
LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS ArticleArutyunov A., Avakov E., Gel'man B., Dmitruk A., Obukhovskii V.Journal of Fixed Point Theory and Applications. Том 5. 2009. С. 105-127
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS ArticleArutyunov A.V.Mathematical Notes. Том 86. 2009. С. 153-158
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Izmailov A.F., Jaćimović V.Journal of Mathematical Analysis and Applications. Том 359. 2009. С. 752-764
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS ArticleArutyunov A.V., Gel'man B.D.Computational Mathematics and Mathematical Physics. Том 49. 2009. С. 1111-1118
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES ArticleArutyunov A.V.Doklady Mathematics. Том 80. 2009. С. 555-557
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.Mathematical Programming. Том 114. 2008. С. 37-68
EXACT PENALTIES FOR OPTIMIZATION PROBLEMS WITH 2-REGULAR EQUALITY CONSTRAINTS ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 48. 2008. С. 346-353
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS ArticleArutyunov A.V.Mathematical Notes. Том 84. 2008. С. 155-165
NECESSARY CONDITIONS FOR AN EXTREMUM IN A MATHEMATICAL PROGRAMMING PROBLEM ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Proceedings of the Steklov Institute of Mathematics. Том 256. 2007. С. 2-25
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Том 47. 2007. С. 349-360
DIRECTIONAL REGULARITY AND METRIC REGULARITY ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.SIAM Journal on Optimization. Том 18. 2007. С. 810-833
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS ArticleArutyunov A.V.Doklady Mathematics. Том 76. 2007. С. 665-668