NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Izmailov A.F., Jaćimović V. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 359. 2009. С. 752-764
LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS Статья Arutyunov A., Avakov E., Gel'Man B., Dmitruk A., Obukhovskii V. Journal of Fixed Point Theory and Applications. Том 5. 2009. С. 105-127
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS Статья Arutyunov A.V., Gel'man B.D. Computational Mathematics and Mathematical Physics. Том 49. 2009. С. 1111-1118
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Статья Avakov E.R., Arutyunov A.V., Zhukovskii E.S. Differential Equations. Том 45. 2009. С. 627-649
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON Статья Arutyunov A.V. Differential Equations. Том 45. 2009. С. 1595-1601
NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 140. 2009. С. 391-408
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES Статья Arutyunov A.V. Doklady Mathematics. Том 80. 2009. С. 555-557
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS Статья Arutyunov A.V. Mathematical Notes. Том 86. 2009. С. 153-158
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS Статья Arutyunov A.V., Avakov E.R., Izmailov A.F. Mathematical Programming. Том 114. 2008. С. 37-68
EXACT PENALTIES FOR OPTIMIZATION PROBLEMS WITH 2-REGULAR EQUALITY CONSTRAINTS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 48. 2008. С. 346-353
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS Статья Arutyunov A.V. Mathematical Notes. Том 84. 2008. С. 155-165
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 76. 2007. С. 665-668
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Yu. Computational Mathematics and Mathematical Physics. Том 47. 2007. С. 349-360
NECESSARY CONDITIONS FOR AN EXTREMUM IN A MATHEMATICAL PROGRAMMING PROBLEM Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Proceedings of the Steklov Institute of Mathematics. Том 256. 2007. С. 2-25
DIRECTIONAL REGULARITY AND METRIC REGULARITY Статья Arutyunov A.V., Avakov E.R., Izmailov A.F. SIAM Journal on Optimization. Том 18. 2007. С. 810-833
NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Yu. Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 1293-1298
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS Статья Arutyunov A.V., Kruglova E.V. Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 537-540
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Том 74. 2006. С. 473-476
SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A., Pereira F.L. Mathematics of Operations Research. Том 31. 2006. С. 1-12
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY Статья Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Том 31. 2006. С. 526-543
NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Том 73. 2006. С. 340-343
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS Статья Arutyunov A.V. Differential Equations. Том 42. 2006. С. 1515-1523
IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY Статья Arutyunov A.V. Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 195-205
A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS Статья Arutyunov A., Karamzin D., Pereira F. SIAM Journal on Control and Optimization. Том 43. 2005. С. 1812-1843
SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL Статья Arutyunov A., Pereira F. IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Том 16. 2005. С. 483-488