Rykhlov Victor Sergeevich

Publications in Math-Net.Ru

1. Equiconvergence of expansions in root functions of a differential operator and in a trigonometric Fourier series
   
   CMFD, 71:3 (2025),  452–477
2. Estimation of the difference of partial sums of expansions by the root functions of the differential operator and into trigonometric Fourier series
   
   Izv. Saratov Univ. Math. Mech. Inform., 25:2 (2025),  167–172
3. Classical solution of the initial-boundary value problem for the wave equation with mixed derivative
   
   CMFD, 70:3 (2024),  451–486
4. Generalized solution of the initial-boundary-value problem for the wave equation with a mixed derivative and a general potential
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 232 (2024),  99–121
5. Generalized initial-boundary problem for the wave equation with mixed derivative
   
   CMFD, 69:2 (2023),  342–363
6. On the solution of the initial-boundary problem in a half-strip for a hyperbolic equation with a mixed derivative
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226 (2023),  89–107
7. The uniqueness of the solution of an initial boundary value problem for a hyperbolic equation with a mixed derivative and a formula for the solution
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:2 (2023),  183–194
8. Generalized solution of the simplest initial boundary value problem for a homogeneous hyperbolic equation with a mixed derivative
   
   Taurida Journal of Computer Science Theory and Mathematics, 2023, no. 2,  72–88
9. On the completeness of eigenfunctions of one $5$th-order differential operator
   
   CMFD, 68:2 (2022),  338–375
10. Solvability of a mixed problem for a hyperbolic equation with splitting boundary conditions in the case of incomplete system of eigenfunctions
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204 (2022),  124–134
11. Solvability of the mixed problem for a hyperbolic equation in the case of incomplete system of eigenfunctions
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 200 (2021),  95–104
12. Multiple completeness of the root functions of the pencils of differential operators with constant coefficients and splitting boundary conditions
    
    Izv. Saratov Univ. Math. Mech. Inform., 19:2 (2019),  134–151
13. On multiple completeness of the root functions of the nonregular pencils of differential operators with constant coefficients and splitting boundary conditions
    
    Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 4,  90–112
14. On multiple completeness of the root functions of ordinary differential polynomial pencil with constant coefficients
    
    CMFD, 63:2 (2017),  340–361
15. Expansion in root functions of strongly irregular pencil of differential operators of the second order with multiple characteristics
    
    Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016),  165–174
16. On Multiple Completeness of the Root Functions of a Certain Class of Pencils of Differential Operators with Constant Coefficients
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014),  574–584
17. Expansion in Eigenfunctions of Quadratic Strongly Irregular Pencils of Differential Operators of the Second Order
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013),  21–26
18. On multiple completeness of the root functions of the pencils of differential operators with constant coefficients
    
    Izv. Saratov Univ. Math. Mech. Inform., 11:4 (2011),  45–58
19. On multiple completeness of the root functions for a class of the pencils of differential operators
    
    Izv. Saratov Univ. Math. Mech. Inform., 10:2 (2010),  24–34
20. On properties of the eigenfunctions of a quadratic pencil of the second order differential operators
    
    Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009),  31–44
21. Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6,  42–53
22. Eigenfunction completeness for a third-order ordinary differential bundle of operators
    
    Mat. Fiz. Anal. Geom., 3:3/4 (1996),  406–411
23. Completeness of eigenfunctions of quadratic pencils of ordinary differential operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 3,  35–44
24. The rate of equiconvergence for differential operators with a nonzero coefficient multiplying the $(n-1)$st derivative
    
    Differ. Uravn., 26:6 (1990),  975–989
25. The rate of equiconvergence for differential operators with nonzero coefficient multiplying the $(n-1)$th derivative
    
    Dokl. Akad. Nauk SSSR, 279:5 (1984),  1053–1056


26. Avgust P. Khromov. Galina V. Khromova. To the 90th birthday anniversary
    
    Izv. Saratov Univ. Math. Mech. Inform., 25:4 (2025),  600–606