COVERING MAPPINGS AND WELL-POSEDNESS OF NONLINEAR VOLTERRA EQUATIONS Статья Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 75. 2012. С. 1026-1044
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR CONSTRAINED IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Yu., Pereira F. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 75. 2012. С. 1045-1057
DIFFERENTIAL PROPERTIES OF THE MINIMUM FUNCTION FOR DIAGONALIZABLE QUADRATIC PROBLEMS Статья Arutyunov A.V., Zhukovskiy S.E., Mingaleeva Z.T. Computational Mathematics and Mathematical Physics. Том 52. 2012. С. 1342-1350
INVERSE FUNCTION IN THE NEIGHBORHOOD OF AN ABNORMAL POINT OF A SMOOTH MAP Статья Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Том 85. 2012. С. 305-308
ON THE EXTENSION OF CLASSICAL CALCULUS OF VARIATIONS AND OPTIMAL CONTROL TO PROBLEMS WITH DISCONTINUOUS TRAJECTORIES Статья Arutyunov A., Karamzin D., Pereira F. Proceedings of the IEEE Conference on Decision and Control. 2012. С. 6406-6411
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 67. 2012. С. 403-457
ON SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS IN FINITE-DIMENSIONAL ABNORMAL OPTIMIZATION PROBLEMS Статья Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Том 85. 2012. С. 328-330
ON A GENERALIZATION OF THE IMPULSIVE CONTROL CONCEPT: CONTROLLING SYSTEM JUMPS Статья Arutyunov A., Karamzin D., Pereira F.L. Discrete and Continuous Dynamical Systems- Series A. American Institute of Mathematical Sciences. Том 29. 2011. С. 403-415
ON THE WELL-POSEDNESS OF DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Статья Arutyunov A.V., Zhukovskii E.S., Zhukovskii S.E. Differential Equations. Том 47. 2011. С. 1541-1555
EXISTENCE OF LOCAL SOLUTIONS IN CONSTRAINED DYNAMIC SYSTEMS Статья Arutyunov A.V., Zhukovskiy S.E. Applicable Analysis. Том 90. 2011. С. 889-898
THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS BY R.V. GAMKRELIDZE: REVISITED Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 149. 2011. С. 474-493
R.V. GAMKRELIDZE'S MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH BOUNDED PHASE COORDINATES AND ITS RELATION TO OTHER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Karamzin D.Y., Pereira F. Doklady Mathematics. Том 83. 2011. С. 131-135
REGULAR ZEROS OF QUADRATIC MAPS AND THEIR APPLICATION Статья Arutyunov A.V., Karamzin D.Yu. Sbornik Mathematics. Russian Academy of Sciences. Том 202. 2011. С. 783-806
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS Статья Arutyunov A.V., Zhukovskiy S.E. Differential Equations. Том 46. 2010. С. 1561-1570
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Yu., Pereira F. Doklady Mathematics. Том 81. 2010. С. 418-421
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Optimization. Том 59. 2010. С. 1067-1083
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM Статья Arutyunov A.V. Differential Equations. Том 46. 2010. С. 1786-1788
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS Статья Arutyunov A.V., Zhukovskiy S.E. Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 12-22
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Mathematical Sciences (United States). Springer New York LLC. Том 165. 2010. С. 654-688
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS Статья Arutyunov A.V. Proceedings of the Steklov Institute of Mathematics. Том 271. 2010. С. 18-27
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS Статья Arutyunov A.V. Mathematical Notes. Том 86. 2009. С. 153-158
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON Статья Arutyunov A.V. Differential Equations. Том 45. 2009. С. 1595-1601
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
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES Статья Arutyunov A.V. Doklady Mathematics. Том 80. 2009. С. 555-557
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
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
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
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
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS Статья Arutyunov A.V. Mathematical Notes. Том 84. 2008. С. 155-165
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
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
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 76. 2007. С. 665-668
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 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
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
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
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS Статья Arutyunov A.V. Differential Equations. Том 42. 2006. С. 1515-1523
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
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
IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY Статья Arutyunov A.V. Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 195-205
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
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
NECESSARY CONDITIONS FOR IMPULSIVE NONLINEAR OPTIMAL CONTROL PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A., Dykhta V., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 124. 2005. С. 55-77
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS Статья Arutyunov A.V. Mathematical Notes. Том 77. 2005. С. 447-460
NONDEGENERATE NECESSARY CONDITIONS OF OPTIMALITY FOR PROBLEMS WITHOUT NORMALITY ASSUMPTIONS Статья Arutyunov A., Pereira F.L. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Том 2005. 2005. С. 7302-7307
IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT Статья Arutyunov A.V. Mathematical Notes. Том 78. 2005. С. 573-576
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
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A.V., Pereira F.L. Doklady Mathematics. Том 71. 2005. С. 442-445
NECESSARY OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A.V., Pereira F.L. Doklady Akademii Nauk. Том 402. 2005. С. 727-731