Provotorov Vyacheslav Vasil'evich

Publications in Math-Net.Ru

1. Converging difference schemes of an elliptic equation in a class of summable functions with a network-like carrier
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 21:2 (2025),  195–214
2. Optimal control of the stress-deformed states of a composite layered medium
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 20:4 (2024),  534–549
3. Mathematical modeling of physical processesin composition media
   
   Russian Universities Reports. Mathematics, 29:146 (2024),  188–203
4. Stability of three-layer differential-difference schemes with weights in the space of summable functions with supports in a network-like domain
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:3 (2023),  357–369
5. Optimal control of the Navier — Stokes system with a space variable in a network-like domain
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 19:4 (2023),  549–562
6. Optimal control of thermal and wave processes in composite materials
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 19:3 (2023),  403–418
7. The method of penalty functions in the analysis of optimal control problems of Navier — Stokes evolutionary systems with a spatial variable in a network-like domain
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 19:2 (2023),  162–175
8. Solution of the initial boundary value problem in symbolic form
   
   Russian Universities Reports. Mathematics, 28:142 (2023),  203–212
9. Stability of operator-difference schemes with weights for the hyperbolic equation in the space of summable functions with carriers in the network-like domain
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:3 (2022),  425–437
10. Stability of a three-layer symmetric differential-difference scheme in the class of functions summable on a network-like domain
    
    Russian Universities Reports. Mathematics, 27:137 (2022),  80–94
11. Optimal control of a differential-difference parabolic system with distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 17:4 (2021),  433–448
12. Point control of a differential-difference system with distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 17:3 (2021),  277–286
13. Stability of a weak solution for a hyperbolic system with distributed parameters on a graph
    
    Russian Universities Reports. Mathematics, 26:133 (2021),  55–67
14. Countable stability of a weak solution of a parabolic differential-difference system with distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 16:4 (2020),  402–414
15. Uniqueness solution to the inverse spectral problem with distributed parameters on the graph-star
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 16:2 (2020),  129–143
16. Stability of weak solutions of parabolic systems with distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:4 (2019),  457–471
17. About one approach to solving the inverse problem for parabolic equation
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:3 (2019),  323–336
18. Stabilization of weak solutions of parabolic systems with distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:2 (2019),  187–198
19. Solvability of hyperbolic systems with distributed parameters on the graph in the weak formulation
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:1 (2019),  107–117
20. On stability control of a parabolic systems with distributed parameters on the graph
    
    Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018),  368–376
21. Optimal control of the linearized Navier–Stokes system in a netlike domain
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:4 (2017),  431–443
22. Unique weak solvability of a nonlinear initial boundary value problem with distributed parameters in a netlike domain
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:3 (2017),  264–277
23. Synthesis of optimal boundary control of parabolic systems with delay and distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:2 (2017),  209–224
24. Start control of parabolic systems with distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2015, no. 3,  126–142
25. Generalized solutions and generalized eigenfunctions of boundary-value problems on a geometric graph
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 3,  3–18
26. Optimum control of parabolic system with the distributed parameters on the graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2014, no. 3,  154–163
27. A. Yu. Aleksandrov, A. V. Platonov. Method of comparison and stability of nonlinear system motion
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 3,  180–181
28. Boundary control of wave system in the space of generalized solutions on a graph
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 3,  112–120
29. The problem of boundary control for a differential system on a graph
    
    Izv. IMI UdGU, 2012, no. 1(39),  30–31
30. Construction of boundary controls in the problem of oscilation damping of a system from $m$ strings
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 1,  60–69
31. Expansion in eigenfunctions of the Sturm–Liouville problem on a graph bundle
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 3,  50–62
32. Eigenfunctions of the Sturm-Liouville problem on a star graph
    
    Mat. Sb., 199:10 (2008),  105–126