THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS BY R.V. GAMKRELIDZE: REVISITED ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Optimization Theory and Applications. Vol. 149. 2011. P.. 474-493
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. Vol. 29. 2011. P.. 403-415
R.V. GAMKRELIDZE'S MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH BOUNDED PHASE COORDINATES AND ITS RELATION TO OTHER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Karamzin D.Y., Pereira F.Doklady Mathematics. Vol. 83. 2011. P.. 131-135
EXAMPLE OF A LINEAR ABNORMAL OPTIMAL CONTROL PROBLEM ArticleArutyunov A.V.Differential Equations. Vol. 46. 2010. P.. 1786-1788
EXISTENCE AND PROPERTIES OF INVERSE MAPPINGS ArticleArutyunov A.V., Zhukovskiy S.E.Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P.. 12-22
LOCAL SOLVABILITY OF CONTROL SYSTEMS WITH MIXED CONSTRAINTS ArticleArutyunov A.V., Zhukovskiy S.E.Differential Equations. Vol. 46. 2010. P.. 1561-1570
ON IMPLICIT FUNCTION THEOREMS AT ABNORMAL POINTS ArticleArutyunov A.V.Proceedings of the Steklov Institute of Mathematics. Vol. 271. 2010. P.. 18-27
MAXIMUM PRINCIPLE IN PROBLEMS WITH MIXED CONSTRAINTS UNDER WEAK ASSUMPTIONS OF REGULARITY ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Optimization. Vol. 59. 2010. P.. 1067-1083
PONTRYAGIN'S MAXIMUM PRINCIPLE FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Yu., Pereira F.Doklady Mathematics. Vol. 81. 2010. P.. 418-421
ON CONSTRAINED IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A.V., Karamzin D.Y., Pereira F.L.Journal of Mathematical Sciences. Vol. 165. 2010. P.. 654-688
LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON ArticleArutyunov A.V.Differential Equations. Vol. 45. 2009. P.. 1595-1601
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Izmailov A.F., Jaćimović V.Journal of Mathematical Analysis and Applications. Vol. 359. 2009. P.. 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. Vol. 49. 2009. P.. 1111-1118
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS ArticleArutyunov A.V.Mathematical Notes. Vol. 86. 2009. P.. 153-158
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES ArticleArutyunov A.V.Doklady Mathematics. Vol. 80. 2009. P.. 555-557
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE ArticleAvakov E.R., Arutyunov A.V., Zhukovskii E.S.Differential Equations. Vol. 45. 2009. P.. 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. Vol. 5. 2009. P.. 105-127
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. Vol. 140. 2009. P.. 391-408
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS ArticleArutyunov A.V.Mathematical Notes. Vol. 84. 2008. P.. 155-165
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.Mathematical Programming. Vol. 114. 2008. P.. 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. Vol. 48. 2008. P.. 346-353
DIRECTIONAL REGULARITY AND METRIC REGULARITY ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.SIAM Journal on Optimization. Vol. 18. 2007. P.. 810-833
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS ArticleArutyunov A.V.Doklady Mathematics. Vol. 76. 2007. P.. 665-668
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. Vol. 256. 2007. P.. 2-25
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Vol. 47. 2007. P.. 349-360