AN INVESTIGATION OF SMOOTH MAPS IN A NEIGHBOURHOOD OF AN ABNORMAL POINT Article Avakov E.R., Arutyunov A.V., Karamzin D.Yu. Izvestiya Mathematics. Institute of Physics Publishing. Vol. 78. 2014. P. 213-250
OPTIMALITY CONDITIONS FOR 2-REGULAR PROBLEMS WITH NONSMOOTH OBJECTIVE FUNCTIONS Article Arutyunov A.V., Izmailov A.F., Shvartsman I. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 90. 2013. P. 37-45
ON COINCIDENCE POINTS OF MAPPINGS IN PARTIALLY ORDERED SPACES Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Doklady Mathematics. Vol. 88. 2013. P. 710-713
COINCIDENCE POINTS OF SET-VALUED MAPPINGS IN PARTIALLY ORDERED SPACES Article Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E. Doklady Mathematics. Vol. 88. 2013. P. 727-729
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
PROPERTIES OF THE MINIMUM FUNCTION IN THE QUADRATIC PROBLEM Article Arutyunov A.V. Mathematical Notes. Vol. 94. 2013. P. 32-40
TWO PROBLEMS OF THE THEORY OF QUADRATIC MAPS Article Arutyunov A.V. Functional Analysis and its Applications. Vol. 46. 2012. P. 225-227
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
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
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
SMOOTH ABNORMAL PROBLEMS IN EXTREMUM THEORY AND ANALYSIS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 67. 2012. P. 403-457
ON TWO QUESTIONS OF OPTIMIZATION THEORY CONCERNING QUADRATIC MAPPINGS Article Arutyunov A.V. Optimization Letters. Vol. 6. 2012. P. 1009-1015
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
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