EQUILIBRIUM PRICE AS A COINCIDENCE POINT OF TWO MAPPINGS Article Arutyunov A.V., Zhukovskiy S.E., Pavlova N.G. Computational Mathematics and Mathematical Physics. Vol. 53. 2013. P. 158-169
ON SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS IN FINITE-DIMENSIONAL ABNORMAL OPTIMIZATION PROBLEMS Article Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Vol. 85. 2012. P. 328-330
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Article Arutyunov A.V. Optimization Letters. Vol. 6. 2012. P. 1009-1015
DIFFERENTIAL PROPERTIES OF THE MINIMUM FUNCTION FOR DIAGONALIZABLE QUADRATIC PROBLEMS Article Arutyunov A.V., Zhukovskiy S.E., Mingaleeva Z.T. Computational Mathematics and Mathematical Physics. Vol. 52. 2012. P. 1342-1350
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR CONSTRAINED IMPULSIVE CONTROL PROBLEMS Article Arutyunov A.V., Karamzin D.Yu., Pereira F. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 75. 2012. P. 1045-1057
PROPERTIES OF THE LAGRANGE MULTIPLIERS IN THE PONTRYAGIN MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V. Differential Equations. Vol. 48. 2012. P. 1586-1595
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 67. 2012. P. 403-457
AN ITERATIVE METHOD FOR FINDING COINCIDENCE POINTS OF TWO MAPPINGS Article Arutyunov A.V. Computational Mathematics and Mathematical Physics. Vol. 52. 2012. P. 1483-1486
COVERING MAPPINGS AND WELL-POSEDNESS OF NONLINEAR VOLTERRA EQUATIONS Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 75. 2012. P. 1026-1044
INVERSE FUNCTION IN THE NEIGHBORHOOD OF AN ABNORMAL POINT OF A SMOOTH MAP Article Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Doklady Mathematics. Vol. 85. 2012. P. 305-308
ON THE EXTENSION OF CLASSICAL CALCULUS OF VARIATIONS AND OPTIMAL CONTROL TO PROBLEMS WITH DISCONTINUOUS TRAJECTORIES Article Arutyunov A., Karamzin D., Pereira F. Proceedings of the IEEE Conference on Decision and Control. 2012. P. 6406-6411
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Article Arutyunov A.V. Functional Analysis and its Applications. Vol. 46. 2012. P. 225-227
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
R.V. GAMKRELIDZE'S MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH BOUNDED PHASE COORDINATES AND ITS RELATION TO OTHER OPTIMALITY CONDITIONS Article Arutyunov A.V., Karamzin D.Y., Pereira F. Doklady Mathematics. Vol. 83. 2011. P. 131-135
THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS BY R.V. GAMKRELIDZE: REVISITED Article Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 149. 2011. P. 474-493