Arutyunov A.

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

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

Article

Arutyunov A.V.

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

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

STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS

Article

Arutyunov A.V.

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

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

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

LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON

Article

Arutyunov A.V.

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

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 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

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

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

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

COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS

Article

Arutyunov A.V.

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

IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY

Article

Arutyunov A.V.

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

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

ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS

Article

Arutyunov A.V., Kruglova E.V.

Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 537-540

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

NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS

Article

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

Doklady Mathematics. Vol. 73. 2006. P. 340-343

NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS

Article

Arutyunov A.V., Karamzin D.Yu.

Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 1293-1298

NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS

Article

Arutyunov A.V., Pereira F.L.

Doklady Mathematics. Vol. 71. 2005. P. 442-445

ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS

Article

Arutyunov A.V.

Doklady Akademii Nauk. Vol. 402. 2005. P. 295-297

ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS

Article

Arutyunov A.V.

Russian Mathematical Surveys. Vol. 60. 2005. P. 157-158

NONDEGENERATE NECESSARY CONDITIONS OF OPTIMALITY FOR PROBLEMS WITHOUT NORMALITY ASSUMPTIONS

Article

Arutyunov A., Pereira F.L.

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005. 2005. P. 7302-7307

NECESSARY OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS

Article

Arutyunov A.V., Pereira F.L.

Doklady Akademii Nauk. Vol. 402. 2005. P. 727-731

IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT

Article

Arutyunov A.V.

Mathematical Notes. Vol. 78. 2005. P. 573-576

SENSITIVITY ANALYSIS FOR CONE-CONSTRAINED OPTIMIZATION PROBLEMS UNDER THE RELAXED CONSTRAINT QUALIFICATIONS

Article

Arutyunov A.V., Izmailov A.F.

Mathematics of Operations Research. Vol. 30. 2005. P. 333-353

A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS

Article

Arutyunov A., Karamzin D., Pereira F.

SIAM Journal on Control and Optimization. Vol. 43. 2005. P. 1812-1843

COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS

Article

Arutyunov A.V.

Mathematical Notes. Vol. 77. 2005. P. 447-460

SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL

Article

Arutyunov A., Pereira F.

IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Vol. 16. 2005. P. 483-488

NECESSARY CONDITIONS FOR IMPULSIVE NONLINEAR OPTIMAL CONTROL PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS

Article

Arutyunov A., Dykhta V., Pereira F.L.

Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 124. 2005. P. 55-77

ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS

Article

Arutyunov A.V.

Doklady Mathematics. Vol. 71. 2005. P. 370-372

TANGENT VECTORS TO A ZERO SET AT ABNORMAL POINTS

Article

Arutyunov A.V., Izmailov A.F.

Journal of Mathematical Analysis and Applications. Academic Press Inc.. Vol. 289. 2004. P. 66-76

NECESSARY OPTIMALITY CONDITIONS FOR IMPULSIVE CONTROL PROBLEMS

Article

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

IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Vol. 37. 2004. P. 2-12

SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS

Article

Arutyunov A.V.

Doklady Mathematics. Vol. 70. 2004. P. 904-907

ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY

Article

Arutyunov A.V., Izmailov A.F.

Mathematical Programming. Vol. 100. 2004. P. 485-515

A SIMPLE 'FINITE APPROXIMATIONS' PROOF OF THE PONTRYAGIN MAXIMUM PRINCIPLE UNDER REDUCED DIFFERENTIABILITY HYPOTHESES

Article

Arutyunov A.V., Vinter R.B.

Set-Valued Analysis. Vol. 12. 2004. P. 5-24

TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS

Article

Arutyunov A.V., Pavlova N.G.

Differential Equations. Vol. 40. 2004. P. 1645-1648

ON CONVERGENCE RATE ESTIMATES FOR POWER PENALTY METHODS

Article

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

Computational Mathematics and Mathematical Physics. Vol. 44. 2004. P. 1684-1695

SENSITIVITY ANALYSIS OF ABNORMAL CONE-CONSTRAINED OPTIMIZATION PROBLEMS

Article

Arutyunov A.V., Izmailov A.F.

Computational Mathematics and Mathematical Physics. Vol. 44. 2004. P. 552-574

ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE

Article

Avakov E.R., Arutyunov A.V.

Doklady Mathematics. Vol. 70. 2004. P. 924-927

SENSITIVITY THEORY FOR ABNORMAL OPTIMIZATION PROBLEMS WITH EQUALITY CONSTRAINTS

Article

Arutyunov A.V., Izmailov A.F.

Computational Mathematics and Mathematical Physics. Vol. 43. 2003. P. 178-193

FIRST AND SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS

Article

Arutyunov A., Dykhta V., Pereira F.

Proceedings of the IEEE Conference on Decision and Control. Vol. 6. 2003. P. 6357-6362

SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS

Article

Arutyunov A., Jaćimović V., Pereira F.

Journal of Dynamical and Control Systems. Vol. 9. 2003. P. 131-153

POSITIVE DEFINITENESS OF FORMS: NUMERICAL IDENTIFICATION

Article

Arutyunov A.V., Izmailov A.F.

SIAM Journal on Control and Optimization. Vol. 41. 2003. P. 1567-1585

INVERSE FUNCTION THEOREM ON A CONE IN THE NEIGHBORHOOD OF AN ABNORMAL POINT

Article

Arutyunov A.V.

Doklady Mathematics. Vol. 67. 2003. P. 149-152

NONDEGENERATE NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS WITH STATE CONSTRAINTS

Article

Arutyunov A., Karamzin D., Pereira F.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 2003. P. 233-238

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