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
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
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 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
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
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
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
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
IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY Article Arutyunov A.V. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 195-205
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 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
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
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
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 71. 2005. P. 370-372
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 REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 60. 2005. P. 157-158