ON A GENERALIZATION OF THE IMPULSIVE CONTROL CONCEPT: CONTROLLING SYSTEM JUMPS ArticleArutyunov A., Karamzin D., Pereira F.L.Discrete and Continuous Dynamical Systems- Series A. Том 29. 2011. С. 403-415
REGULAR ZEROS OF QUADRATIC MAPS AND THEIR APPLICATION ArticleArutyunov A.V., Karamzin D.Yu.Sbornik Mathematics. Том 202. 2011. С. 783-806
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS ArticleArutyunov A.V., Zhukovskiy S.E.Applicable Analysis. Том 90. 2011. С. 889-898
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS ArticleArutyunov A.V.Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 18-27
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM ArticleArutyunov A.V.Differential Equations. Том 46. 2010. С. 1786-1788
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Mathematical Sciences. Том 165. 2010. С. 654-688
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS ArticleArutyunov A.V., Zhukovskiy S.E.Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 12-22
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS ArticleArutyunov A.V., Zhukovskiy S.E.Differential Equations. Том 46. 2010. С. 1561-1570
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Optimization. Том 59. 2010. С. 1067-1083
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Yu., Pereira F.Doklady Mathematics. Том 81. 2010. С. 418-421
NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Optimization Theory and Applications. Том 140. 2009. С. 391-408
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON ArticleArutyunov A.V.Differential Equations. Том 45. 2009. С. 1595-1601
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE ArticleAvakov E.R., Arutyunov A.V., Zhukovskii E.S.Differential Equations. Том 45. 2009. С. 627-649
LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS ArticleArutyunov A., Avakov E., Gel'man B., Dmitruk A., Obukhovskii V.Journal of Fixed Point Theory and Applications. Том 5. 2009. С. 105-127
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS ArticleArutyunov A.V.Mathematical Notes. Том 86. 2009. С. 153-158
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Izmailov A.F., Jaćimović V.Journal of Mathematical Analysis and Applications. Том 359. 2009. С. 752-764
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS ArticleArutyunov A.V., Gel'man B.D.Computational Mathematics and Mathematical Physics. Том 49. 2009. С. 1111-1118
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES ArticleArutyunov A.V.Doklady Mathematics. Том 80. 2009. С. 555-557
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS ArticleArutyunov 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 ArticleAvakov 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 ArticleArutyunov A.V.Mathematical Notes. Том 84. 2008. С. 155-165
NECESSARY CONDITIONS FOR AN EXTREMUM IN A MATHEMATICAL PROGRAMMING PROBLEM ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Proceedings of the Steklov Institute of Mathematics. Том 256. 2007. С. 2-25
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Том 47. 2007. С. 349-360
DIRECTIONAL REGULARITY AND METRIC REGULARITY ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.SIAM Journal on Optimization. Том 18. 2007. С. 810-833
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS ArticleArutyunov A.V.Doklady Mathematics. Том 76. 2007. С. 665-668