Anikonov Dmitrii Sergeevich

Publications in Math-Net.Ru

1. Formula for solving a mixed problem for a hyperbolic equation
   
   Vladikavkaz. Mat. Zh., 25:2 (2023),  5–13
2. Formula of Kirchhoff type for mixed problem
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 6,  3–10
3. Cauchy problem for a differential equation with piecewise smooth characteristics
   
   Sib. J. Pure and Appl. Math., 18:3 (2018),  3–19
4. Forward and inverse problems with discontinuous coefficient
   
   Sib. J. Pure and Appl. Math., 18:2 (2018),  13–29
5. An underdetermined problem of integral geometry for the generalized Radon transform
   
   Sib. Zh. Ind. Mat., 19:1 (2016),  18–26
6. An integral geometry underdetermined problem for a family of curves
   
   Sibirsk. Mat. Zh., 56:2 (2015),  265–281
7. The integro-differential indicator for a problem of single-beam tomography
   
   Sib. Zh. Ind. Mat., 17:2 (2014),  3–10
8. An inverse problem of location type for a hyperbolic system
   
   Sib. Zh. Ind. Mat., 16:4 (2013),  3–20
9. Differential properties of a generalized solution to a hyperbolic system of first-order differential equations
   
   Sib. Zh. Ind. Mat., 16:2 (2013),  26–39
10. A polychromatic inhomogeneity indicator in an unknown medium for an $X$-ray tomography problem
    
    Sibirsk. Mat. Zh., 53:4 (2012),  721–740
11. Problem of two-beam tomography
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012),  372–378
12. The problem of single-beam probing of an unknown medium
    
    Sib. Zh. Ind. Mat., 14:2 (2011),  21–27
13. The integral geometry boundary determination problem for a pencil of straight lines
    
    Sibirsk. Mat. Zh., 52:5 (2011),  962–976
14. Ill-posed problems of radiation tomography
    
    Sib. Èlektron. Mat. Izv., 7 (2010),  73–80
15. A method for studying singular integral equations
    
    Sibirsk. Mat. Zh., 51:5 (2010),  961–973
16. Radiation Tomography and transport equation
    
    Dal'nevost. Mat. Zh., 8:1 (2008),  5–18
17. Generalized Radon Transform and X-ray Tomography
    
    Sib. Èlektron. Mat. Izv., 5 (2008),  440–447
18. The indicator of contact boundaries for an integral geometry problem
    
    Sibirsk. Mat. Zh., 49:4 (2008),  739–755
19. The statement and numerical solution of an optimization problem in X-ray tomography
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006),  18–25
20. The boundary-value problem for the transport equation with purely compton scattering
    
    Sibirsk. Mat. Zh., 46:1 (2005),  3–16
21. Simple and complex mathematical models of stationary transport theory
    
    Dal'nevost. Mat. Zh., 3:1 (2002),  18–23
22. The kinetic transport equation in the case of Compton scattering
    
    Sibirsk. Mat. Zh., 43:5 (2002),  987–1001
23. Necessary and sufficient conditions for the uniqueness of a solution to a tomography problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:3 (2002),  370–379
24. Reduction of the problem of the mutual discharge of debts to the transportation problem
    
    Dokl. Akad. Nauk, 352:6 (1997),  730
25. A Stefan-type problem for the transport equation
    
    Dokl. Akad. Nauk, 338:1 (1994),  25–28
26. The use of singularities in the solution of the transport equation in x-ray tomography
    
    Dokl. Akad. Nauk, 335:6 (1994),  702–704
27. Determination of the coefficient of a transport equation with energy and angular singularities of external radiation
    
    Dokl. Akad. Nauk, 327:2 (1992),  205–207
28. On the uniqueness of the solution of problems in integral geometry
    
    Sibirsk. Mat. Zh., 31:6 (1990),  16–24
29. A method of finding the integral characteristics of attenuation factors for transfer equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1262–1267
30. Determination of the integral characteristics of the radiation attenuation coefficient
    
    Dokl. Akad. Nauk SSSR, 308:4 (1989),  838–841
31. Examples of the nonuniqueness of the solution of a problem of integral geometry
    
    Dokl. Akad. Nauk SSSR, 299:1 (1988),  15–17
32. Uniqueness of the determination of the coefficient of the transport equation with a special type of source
    
    Dokl. Akad. Nauk SSSR, 284:5 (1985),  1033–1037
33. Uniqueness of the simultaneous determination of two coefficients of the transport equation
    
    Dokl. Akad. Nauk SSSR, 277:4 (1984),  777–779
34. Multidimensional inverse problems for the transport equation
    
    Differ. Uravn., 20:5 (1984),  817–824
35. On the question of the uniqueness of the solution of inverse problems for equations of mathematical physics
    
    Differ. Uravn., 15:1 (1979),  3–9
36. On the boundedness of a singular integral operator in the space $C^\alpha(\overline G)$
    
    Mat. Sb. (N.S.), 104(146):4(12) (1977),  515–534
37. The inverse problem of determining a body for the transport equation
    
    Differ. Uravn., 12:1 (1976),  172–174
38. The uniqueness of the determination of the coefficient and right-hand side of the transport equation
    
    Differ. Uravn., 11:1 (1975),  8–18
39. On an inverse problem for the transport equation
    
    Sibirsk. Mat. Zh., 16:3 (1975),  432–439
40. Inverse problems for the transport equation
    
    Differ. Uravn., 10:1 (1974),  7–17