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 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
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
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
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS Article Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P. 18-27
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
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
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM Article Arutyunov A.V. Differential Equations. Vol. 46. 2010. P. 1786-1788
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
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 SET-VALUED COVERING MAPS IN METRIC SPACES Article Arutyunov A.V. Doklady Mathematics. Vol. 80. 2009. P. 555-557
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
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
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
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS Article Arutyunov A.V. Mathematical Notes. Vol. 86. 2009. P. 153-158
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 STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY Article Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Vol. 31. 2006. P. 526-543
IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY Article Arutyunov A.V. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 195-205
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
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
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
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
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS Article Arutyunov A.V. Differential Equations. Vol. 42. 2006. P. 1515-1523
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
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
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A.V., Pereira F.L. Doklady Mathematics. Vol. 71. 2005. P. 442-445
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
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
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
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 60. 2005. P. 157-158
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 71. 2005. P. 370-372
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
NECESSARY OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A.V., Pereira F.L. Doklady Akademii Nauk. Vol. 402. 2005. P. 727-731
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Akademii Nauk. Vol. 402. 2005. P. 295-297
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS Article Arutyunov A.V. Mathematical Notes. Vol. 77. 2005. P. 447-460
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
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Article Avakov E.R., Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 924-927
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
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
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
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