ON THE SOLVABILITY OF IMPLICIT DIFFERENTIAL INCLUSIONS ArticleArutyunov A., Zhukovskiy E., Zhukovskiy S., De Oliveira V.A., Lobo Pereira F.Applicable Analysis. Vol. 94. 2015. P.. 129-143
PERTURBATION OF SOLUTIONS OF THE COINCIDENCE POINT PROBLEM FOR TWO MAPPINGS ArticleArutyunov A.V., Zhukovskiy S.E.Doklady Mathematics. Vol. 89. 2014. P.. 346-348
THE COINCIDENCE POINT PROBLEM FOR SET-VALUED MAPPINGS AND ULAM-HYERS STABILITY ArticleArutyunov A.V.Doklady Mathematics. Vol. 89. 2014. P.. 188-191
COINCIDENCE POINTS OF TWO MAPS ArticleArutyunov A.V.Functional Analysis and its Applications. Vol. 48. 2014. P.. 72-75
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. P.. 1456-1461
AN INVESTIGATION OF SMOOTH MAPS IN A NEIGHBOURHOOD OF AN ABNORMAL POINT ArticleAvakov E.R., Arutyunov A.V., Karamzin D.Yu.Izvestiya Mathematics. Vol. 78. 2014. P.. 213-250
COINCIDENCE POINTS OF SET-VALUED MAPPINGS IN PARTIALLY ORDERED SPACES ArticleArutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.Doklady Mathematics. Vol. 88. 2013. P.. 727-729
ON COINCIDENCE POINTS OF MAPPINGS IN PARTIALLY ORDERED SPACES ArticleArutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.Doklady Mathematics. Vol. 88. 2013. P.. 710-713
PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM ArticleArutyunov A.V.Mathematical Notes. Vol. 94. 2013. P.. 32-40
OPTIMALITY CONDITIONS FOR 2-REGULAR PROBLEMS WITH NONSMOOTH OBJECTIVE FUNCTIONS ArticleArutyunov A.V., Izmailov A.F., Shvartsman I.Nonlinear Analysis, Theory, Methods and Applications. Vol. 90. 2013. P.. 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. Vol. 53. 2013. P.. 158-169
PROPERTIES OF THE LAGRANGE MULTIPLIERS IN THE PONTRYAGIN MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS ArticleArutyunov A.V.Differential Equations. Vol. 48. 2012. P.. 1586-1595
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. P.. 6406-6411
AN ITERATIVE METHOD FOR FINDING COINCIDENCE POINTS OF TWO MAPPINGS ArticleArutyunov A.V.Computational Mathematics and Mathematical Physics. Vol. 52. 2012. P.. 1483-1486
DIFFERENTIAL PROPERTIES OF THE MINIMUM FUNCTION FOR DIAGONALIZABLE QUADRATIC PROBLEMS ArticleArutyunov A.V., Zhukovskiy S.E., Mingaleeva Z.T.Computational Mathematics and Mathematical Physics. Vol. 52. 2012. P.. 1342-1350
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS ArticleArutyunov A.V.Russian Mathematical Surveys. Vol. 67. 2012. P.. 403-457
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS ArticleArutyunov A.V.Functional Analysis and its Applications. Vol. 46. 2012. P.. 225-227
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS ArticleArutyunov A.V.Optimization Letters. Vol. 6. 2012. P.. 1009-1015
INVERSE FUNCTION IN THE NEIGHBORHOOD OF AN ABNORMAL POINT OF A SMOOTH MAP ArticleAvakov E.R., Arutyunov A.V., Karamzin D.Yu.Doklady Mathematics. Vol. 85. 2012. P.. 305-308
ON SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS IN FINITE-DIMENSIONAL ABNORMAL OPTIMIZATION PROBLEMS ArticleAvakov E.R., Arutyunov A.V., Karamzin D.Yu.Doklady Mathematics. Vol. 85. 2012. P.. 328-330
COVERING MAPPINGS AND WELL-POSEDNESS OF NONLINEAR VOLTERRA EQUATIONS ArticleArutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.Nonlinear Analysis, Theory, Methods and Applications. Vol. 75. 2012. P.. 1026-1044
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR CONSTRAINED IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Yu., Pereira F.Nonlinear Analysis, Theory, Methods and Applications. Vol. 75. 2012. P.. 1045-1057
ON THE WELL-POSEDNESS OF DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE ArticleArutyunov A.V., Zhukovskii E.S., Zhukovskii S.E.Differential Equations. Vol. 47. 2011. P.. 1541-1555
REGULAR ZEROS OF QUADRATIC MAPS AND THEIR APPLICATION ArticleArutyunov A.V., Karamzin D.Yu.Sbornik Mathematics. Vol. 202. 2011. P.. 783-806
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS ArticleArutyunov A.V., Zhukovskiy S.E.Applicable Analysis. Vol. 90. 2011. P.. 889-898
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. Vol. 149. 2011. P.. 474-493
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. 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 ArticleArutyunov A.V., Karamzin D.Y., Pereira F.Doklady Mathematics. Vol. 83. 2011. P.. 131-135
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM ArticleArutyunov A.V.Differential Equations. Vol. 46. 2010. P.. 1786-1788
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS ArticleArutyunov A.V., Zhukovskiy S.E.Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P.. 12-22
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS ArticleArutyunov A.V., Zhukovskiy S.E.Differential Equations. Vol. 46. 2010. P.. 1561-1570
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS ArticleArutyunov A.V.Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P.. 18-27
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Optimization. Vol. 59. 2010. P.. 1067-1083
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Yu., Pereira F.Doklady Mathematics. Vol. 81. 2010. P.. 418-421
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Mathematical Sciences. Vol. 165. 2010. P.. 654-688
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON ArticleArutyunov A.V.Differential Equations. Vol. 45. 2009. P.. 1595-1601
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Izmailov A.F., Jaćimović V.Journal of Mathematical Analysis and Applications. Vol. 359. 2009. P.. 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. Vol. 49. 2009. P.. 1111-1118
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS ArticleArutyunov A.V.Mathematical Notes. Vol. 86. 2009. P.. 153-158
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES ArticleArutyunov A.V.Doklady Mathematics. Vol. 80. 2009. P.. 555-557
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE ArticleAvakov E.R., Arutyunov A.V., Zhukovskii E.S.Differential Equations. Vol. 45. 2009. P.. 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. Vol. 5. 2009. P.. 105-127
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. Vol. 140. 2009. P.. 391-408
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS ArticleArutyunov A.V.Mathematical Notes. Vol. 84. 2008. P.. 155-165
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.Mathematical Programming. Vol. 114. 2008. P.. 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. Vol. 48. 2008. P.. 346-353
DIRECTIONAL REGULARITY AND METRIC REGULARITY ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.SIAM Journal on Optimization. Vol. 18. 2007. P.. 810-833
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS ArticleArutyunov A.V.Doklady Mathematics. Vol. 76. 2007. P.. 665-668
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. Vol. 256. 2007. P.. 2-25
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Vol. 47. 2007. P.. 349-360