Arutyunov A.

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

PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM

Article

Arutyunov A.V.

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

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

TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS

Article

Arutyunov A.V.

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

ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS

Article

Arutyunov A.V.

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

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

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

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

SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS

Article

Arutyunov A.V.

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

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

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

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

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

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

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

EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS

Article

Arutyunov A.V., Zhukovskiy S.E.

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

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

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

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

LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS

Article

Arutyunov A.V., Zhukovskiy S.E.

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

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

ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS

Article

Arutyunov A.V.

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

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

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

EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM

Article

Arutyunov A.V.

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

STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS

Article

Arutyunov A.V.

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

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

Article

Arutyunov A.V.

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

LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON

Article

Arutyunov A.V.

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

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

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

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

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

NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS

Article

Arutyunov A.V.

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

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

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

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

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 METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS

Article

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

Doklady Mathematics. Vol. 74. 2006. P. 473-476

DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY

Article

Arutyunov A.V., Izmailov A.F.

Mathematics of Operations Research. Vol. 31. 2006. P. 526-543

SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS

Article

Arutyunov A., Pereira F.L.

Mathematics of Operations Research. Vol. 31. 2006. P. 1-12

CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS

Article

Arutyunov A.V.

Differential Equations. Vol. 42. 2006. P. 1515-1523

IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY

Article

Arutyunov A.V.

Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 195-205

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