Barotov Dostonjon Numonjonovich

Publications in Math-Net.Ru

1. On the order of smoothness of the maximal convex continuation of a Boolean function
   
   Chebyshevskii Sb., 26:3 (2025),  58–70
2. Concave continuations of Boolean-like functions and some of their properties
   
   Bulletin of Irkutsk State University. Series Mathematics, 51 (2025),  82–100
3. Direct and inverse mean value properties for polylinear functions and their application
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 9,  3–12
4. On extremal elements and the cardinality of the set of continuously differentiable convex extensions of a Boolean function
   
   Model. Anal. Inform. Sist., 32:2 (2025),  100–109
5. On the order of smoothness of the smallest concave extension of a Boolean function
   
   Prikl. Diskr. Mat., 2025, no. 68,  5–15
6. Criteria for the existence and uniqueness of a concave continuation of a function of $k$-valued logic
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:4 (2025),  52–61
7. On the set of continuously differentiable concave extensions of a Boolean function
   
   Russian Universities Reports. Mathematics, 30:149 (2025),  5–14
8. Convex continuations of some discrete functions
   
   Diskretn. Anal. Issled. Oper., 31:3 (2024),  5–23
9. Convex continuation of a Boolean function and its applications
   
   Diskretn. Anal. Issled. Oper., 31:1 (2024),  5–18
10. Concave continuations of Boolean functions and some of their properties and applications
    
    Bulletin of Irkutsk State University. Series Mathematics, 49 (2024),  105–123
11. On inequalities between convex, concave, and multilinear continuations of Boolean functions
    
    Keldysh Institute preprints, 2024, 030, 13 pp.
12. On the approach to identifying periodic and bounded solutions of linear dynamic systems
    
    University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 2,  13–24
13. On the Existence and Properties of Convex Extensions of Boolean Functions
    
    Mat. Zametki, 115:4 (2024),  533–551
14. Construction of smooth convex extensions of Boolean functions
    
    Russian Universities Reports. Mathematics, 29:145 (2024),  20–28
15. On the refinement of the method of reducing a system of linear differential equations to a single higher-order equation, which makes it possible to find a general solution to the original
    
    Vestnik KRAUNC. Fiz.-Mat. Nauki, 43:2 (2023),  20–30
16. On one criterion of expressibility of functions of a system of linear differential equations with constant coefficients in the form of linear combinations of derivatives of one function included in this system
    
    Num. Meth. Prog., 24:3 (2023),  260–274
17. Polylinear continuations of some discrete functions and an algorithm for finding them
    
    Num. Meth. Prog., 24:1 (2023),  10–23