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
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
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
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
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
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
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Статья Arutyunov A.V. Functional Analysis and its Applications. Том 46. 2012. С. 225-227
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
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
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
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
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 67. 2012. С. 403-457
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
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
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
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
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Статья Arutyunov A.V. Optimization Letters. Том 6. 2012. С. 1009-1015
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
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
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS Статья Arutyunov A.V., Zhukovskiy S.E. Applicable Analysis. Том 90. 2011. С. 889-898
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
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
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
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS Статья Arutyunov A.V., Zhukovskiy S.E. Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 12-22
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
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Optimization. Том 59. 2010. С. 1067-1083
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS Статья Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Том 46. 2010. С. 1561-1570
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS Статья Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 18-27
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Mathematical Sciences (United States). Springer New York LLC. Том 165. 2010. С. 654-688
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM Статья Arutyunov A.V. Differential Equations. Том 46. 2010. С. 1786-1788
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES Статья Arutyunov A.V. Doklady Mathematics. Том 80. 2009. С. 555-557
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS Статья Arutyunov A.V. Mathematical Notes. Том 86. 2009. С. 153-158
LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS Статья Arutyunov A., Avakov E., Gel'Man B., Dmitruk A., Obukhovskii V. Journal of Fixed Point Theory and Applications. Том 5. 2009. С. 105-127
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Izmailov A.F., Jaćimović V. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 359. 2009. С. 752-764
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS Статья Arutyunov A.V., Gel'man B.D. Computational Mathematics and Mathematical Physics. Том 49. 2009. С. 1111-1118
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON Статья Arutyunov A.V. Differential Equations. Том 45. 2009. С. 1595-1601
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Статья Avakov E.R., Arutyunov A.V., Zhukovskii E.S. Differential Equations. Том 45. 2009. С. 627-649
NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 140. 2009. С. 391-408
EXACT PENALTIES FOR OPTIMIZATION PROBLEMS WITH 2-REGULAR EQUALITY CONSTRAINTS Статья Avakov 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 Статья Arutyunov A.V. Mathematical Notes. Том 84. 2008. С. 155-165
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS Статья Arutyunov A.V., Avakov E.R., Izmailov A.F. Mathematical Programming. Том 114. 2008. С. 37-68
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 76. 2007. С. 665-668
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Yu. Computational Mathematics and Mathematical Physics. Том 47. 2007. С. 349-360
DIRECTIONAL REGULARITY AND METRIC REGULARITY Статья Arutyunov A.V., Avakov E.R., Izmailov A.F. SIAM Journal on Optimization. Том 18. 2007. С. 810-833
NECESSARY CONDITIONS FOR AN EXTREMUM IN A MATHEMATICAL PROGRAMMING PROBLEM Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Proceedings of the Steklov Institute of Mathematics. Том 256. 2007. С. 2-25