Orlov Igor Vladimirovich

Publications in Math-Net.Ru

1. Neural networks - on awarding the Nobel Prize in Physics 2024
   
   Taurida Journal of Computer Science Theory and Mathematics, 2024, no. 4,  34–48
2. Generalized Hamel basis and basis extension in convex cones and uniquely divisible semigroups
   
   Eurasian Math. J., 9:1 (2018),  69–82
3. The Method of Lagrange Multipliers for the Class of Subsmooth Mappings
   
   Mat. Zametki, 103:2 (2018),  316–320
4. Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone
   
   Mat. Zametki, 102:3 (2017),  396–404
5. Inverse and Implicit Function Theorems in the Class of Subsmooth Maps
   
   Mat. Zametki, 99:4 (2016),  631–634
6. Introduction to sublinear analysis – 2: symmetric case
   
   CMFD, 57 (2015),  108–161
7. Invertibility of multivalued sublinear operators
   
   Eurasian Math. J., 6:4 (2015),  44–58
8. Multidimensional variational functionals with subsmooth integrands
   
   Eurasian Math. J., 6:3 (2015),  54–75
9. Dominant integrands growth estimates and smoothness of variational functionals in Sobolev spaces
   
   Izv. Saratov Univ. Math. Mech. Inform., 15:4 (2015),  422–432
10. Introduction to sublinear analysis
    
    CMFD, 53 (2014),  64–132
11. Compact subdifferentials in Banach spaces and their applications to variational functionals
    
    CMFD, 49 (2013),  99–131
12. Compact-analytical properties of variational functional in Sobolev spaces $W^{1,p}$
    
    Eurasian Math. J., 3:2 (2012),  94–119
13. The limiting form of the Radon–Nikodym property is true for all Fréchet spaces
    
    CMFD, 37 (2010),  55–69
14. Banach–Zaretsky theorem for compactly absolutely continuous mappings
    
    CMFD, 37 (2010),  38–54
15. Inverse extremal problem for variational functionals
    
    Eurasian Math. J., 1:4 (2010),  95–115
16. Compact subdifferentials: the formula of finite increments and related topics
    
    CMFD, 34 (2009),  121–138
17. Hilbert compacts, compact ellipsoids, and compact extrema
    
    CMFD, 29 (2008),  165–175
18. Principles of functional analysis in scales of spaces: Hahn–Banach theorem, Banach theorem on homomorphism, and theorems on open mapping and closed graph
    
    Fundam. Prikl. Mat., 12:5 (2006),  153–173
19. Normal Decompositions of Operator Spaces over Locally Convex Spaces
    
    Funktsional. Anal. i Prilozhen., 36:4 (2002),  78–80
20. Finite increments formula for mappings into inductive scales of spaces
    
    Mat. Fiz. Anal. Geom., 8:4 (2001),  419–439
21. Change of variables in a Lebesgue multiple integral and in an $A$-integral
    
    Dokl. Akad. Nauk SSSR, 210:1 (1973),  30–32
22. Change of variables in a multiple Lebesgue integral
    
    Mat. Zametki, 14:1 (1973),  39–48
23. Change of variable in the one-dimensional Lebesgue integral
    
    Mat. Zametki, 13:5 (1973),  747–758


24. On the 75th anniversary of the birth of Vladimir Andreevich Lukyanenko
    
    Taurida Journal of Computer Science Theory and Mathematics, 2024, no. 1,  7–12