Arutyunov A.

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

THE COINCIDENCE POINT PROBLEM FOR SET-VALUED MAPPINGS AND ULAM-HYERS STABILITY

Article

Arutyunov A.V.

Doklady Mathematics. Vol. 89. 2014. P. 188-191

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

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

COINCIDENCE POINTS OF TWO MAPS

Article

Arutyunov A.V.

Functional Analysis and its Applications. Vol. 48. 2014. P. 72-75

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

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 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

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

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

PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM

Article

Arutyunov A.V.

Mathematical Notes. Vol. 94. 2013. P. 32-40

PONTRYAGIN'S MAXIMUM PRINCIPLE FOR CONSTRAINED IMPULSIVE CONTROL PROBLEMS

Article

Arutyunov A.V., Karamzin D.Yu., Pereira F.

Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 75. 2012. P. 1045-1057

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

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

DIFFERENTIAL PROPERTIES OF THE MINIMUM FUNCTION FOR DIAGONALIZABLE QUADRATIC PROBLEMS

Article

Arutyunov 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

Article

Arutyunov A.V.

Russian Mathematical Surveys. Vol. 67. 2012. P. 403-457

ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS

Article

Arutyunov A.V.

Optimization Letters. Vol. 6. 2012. P. 1009-1015

PROPERTIES OF THE LAGRANGE MULTIPLIERS IN THE PONTRYAGIN MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS

Article

Arutyunov A.V.

Differential Equations. Vol. 48. 2012. P. 1586-1595

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

COVERING MAPPINGS AND WELL-POSEDNESS OF NONLINEAR VOLTERRA EQUATIONS

Article

Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.

Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 75. 2012. P. 1026-1044

TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS

Article

Arutyunov A.V.

Functional Analysis and its Applications. Vol. 46. 2012. P. 225-227

INVERSE FUNCTION IN THE NEIGHBORHOOD OF AN ABNORMAL POINT OF A SMOOTH MAP

Article

Avakov E.R., Arutyunov A.V., Karamzin D.Yu.

Doklady Mathematics. Vol. 85. 2012. P. 305-308

THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS BY R.V. GAMKRELIDZE: REVISITED

Article

Arutyunov A.V., Karamzin D.Y., Pereira F.L.

Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 149. 2011. P. 474-493

REGULAR ZEROS OF QUADRATIC MAPS AND THEIR APPLICATION

Article

Arutyunov A.V., Karamzin D.Yu.

Sbornik Mathematics. Russian Academy of Sciences. Vol. 202. 2011. P. 783-806

ON THE WELL-POSEDNESS OF DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE

Article

Arutyunov A.V., Zhukovskii E.S., Zhukovskii S.E.

Differential Equations. Vol. 47. 2011. P. 1541-1555

R.V. GAMKRELIDZE'S MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH BOUNDED PHASE COORDINATES AND ITS RELATION TO OTHER OPTIMALITY CONDITIONS

Article

Arutyunov A.V., Karamzin D.Y., Pereira F.

Doklady Mathematics. Vol. 83. 2011. P. 131-135

ON A GENERALIZATION OF THE IMPULSIVE CONTROL CONCEPT: CONTROLLING SYSTEM JUMPS

Article

Arutyunov A., Karamzin D., Pereira F.L.

Discrete and Continuous Dynamical Systems- Series A. American Institute of Mathematical Sciences. Vol. 29. 2011. P. 403-415

EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS

Article

Arutyunov A.V., Zhukovskiy S.E.

Applicable Analysis. Vol. 90. 2011. P. 889-898

EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS

Article

Arutyunov A.V., Zhukovskiy S.E.

Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P. 12-22

EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM

Article

Arutyunov A.V.

Differential Equations. Vol. 46. 2010. P. 1786-1788

ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS

Article

Arutyunov A.V.

Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P. 18-27

ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS

Article

Arutyunov A.V., Karamzin D.Y., Pereira F.L.

Journal of Mathematical Sciences (United States). Springer New York LLC. Vol. 165. 2010. P. 654-688

LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS

Article

Arutyunov A.V., Zhukovskiy S.E.

Differential Equations. Vol. 46. 2010. P. 1561-1570

PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS

Article

Arutyunov A.V., Karamzin D.Yu., Pereira F.

Doklady Mathematics. Vol. 81. 2010. P. 418-421

MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY

Article

Arutyunov A.V., Karamzin D.Y., Pereira F.L.

Optimization. Vol. 59. 2010. P. 1067-1083

NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE

Article

Arutyunov A.V., Karamzin D.Y., Pereira F.L.

Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 140. 2009. P. 391-408

STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES

Article

Arutyunov A.V.

Doklady Mathematics. Vol. 80. 2009. P. 555-557

STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS

Article

Arutyunov A.V.

Mathematical Notes. Vol. 86. 2009. P. 153-158

LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON

Article

Arutyunov A.V.

Differential Equations. Vol. 45. 2009. P. 1595-1601

LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS

Article

Arutyunov A., Avakov E., Gel'Man B., Dmitruk A., Obukhovskii V.

Journal of Fixed Point Theory and Applications. Vol. 5. 2009. P. 105-127

MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS

Article

Arutyunov A.V., Gel'man B.D.

Computational Mathematics and Mathematical Physics. Vol. 49. 2009. P. 1111-1118

COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE

Article

Avakov E.R., Arutyunov A.V., Zhukovskii E.S.

Differential Equations. Vol. 45. 2009. P. 627-649

NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS

Article

Arutyunov A.V., Izmailov A.F., Jaćimović V.

Journal of Mathematical Analysis and Applications. Academic Press Inc.. Vol. 359. 2009. P. 752-764

NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS

Article

Arutyunov 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

Article

Avakov E.R., Arutyunov A.V., Izmailov A.F.

Computational Mathematics and Mathematical Physics. Vol. 48. 2008. P. 346-353

NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS

Article

Arutyunov A.V.

Mathematical Notes. Vol. 84. 2008. P. 155-165

NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS

Article

Arutyunov A.V., Karamzin D.Yu.

Computational Mathematics and Mathematical Physics. Vol. 47. 2007. P. 349-360

COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS

Article

Arutyunov A.V.

Doklady Mathematics. Vol. 76. 2007. P. 665-668

DIRECTIONAL REGULARITY AND METRIC REGULARITY

Article

Arutyunov A.V., Avakov E.R., Izmailov A.F.

SIAM Journal on Optimization. Vol. 18. 2007. P. 810-833

NECESSARY CONDITIONS FOR AN EXTREMUM IN A MATHEMATICAL PROGRAMMING PROBLEM

Article

Avakov E.R., Arutyunov A.V., Izmailov A.F.

Proceedings of the Steklov Institute of Mathematics. Vol. 256. 2007. P. 2-25

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