Savchuk Artem Markovich

Publications in Math-Net.Ru

1. Operator group generated by a one-dimensional Dirac system
   
   Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  79–81
2. Equiconvergence of spectral decompositions for Sturm–Liouville operators with a distributional potential in scales of spaces
   
   Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021),  56–58
3. Spectral analysis of one-dimensional Dirac system with summable potential and Sturm–Liouville operator with distribution coefficients
   
   CMFD, 66:3 (2020),  373–530
4. Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients
   
   Mat. Sb., 211:11 (2020),  129–166
5. On the existence of an operator group generated by the one-dimensional Dirac system
   
   Tr. Mosk. Mat. Obs., 80:2 (2019),  275–294
6. Uniform basis property of the system of root vectors of the Dirac operator
   
   CMFD, 64:1 (2018),  180–193
7. On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator
   
   Izv. RAN. Ser. Mat., 82:2 (2018),  113–139
8. The Calderon–Zygmund operator and its relation to asymptotic estimates for ordinary differential operators
   
   CMFD, 63:4 (2017),  689–702
9. Spectral Properties of the Complex Airy Operator on the Half-Line
   
   Funktsional. Anal. i Prilozhen., 51:1 (2017),  82–98
10. Trace of Order $(-1)$ for a String with Singular Weight
    
    Mat. Zametki, 102:2 (2017),  197–215
11. Reconstruction of the Potential of the Sturm–Liouville Operator from a Finite Set of Eigenvalues and Normalizing Constants
    
    Mat. Zametki, 99:5 (2016),  715–731
12. The Riesz basis property with brackets for Dirac systems with summable potentials
    
    CMFD, 58 (2015),  128–152
13. Interpolation of Nonlinear Maps
    
    Mat. Zametki, 96:6 (2014),  896–904
14. The Dirac Operator with Complex-Valued Summable Potential
    
    Mat. Zametki, 96:5 (2014),  777–810
15. On the Interpolation of Analytic Mappings
    
    Mat. Zametki, 94:4 (2013),  578–581
16. Uniform stability of the inverse Sturm–Liouville problem with respect to the spectral function in the scale of Sobolev spaces
    
    Trudy Mat. Inst. Steklova, 283 (2013),  188–203
17. Inverse Problems for Sturm–Liouville Operators with Potentials in Sobolev Spaces: Uniform Stability
    
    Funktsional. Anal. i Prilozhen., 44:4 (2010),  34–53
18. A Mapping Method in Inverse Sturm–Liouville Problems with Singular Potentials
    
    Trudy Mat. Inst. Steklova, 261 (2008),  243–248
19. On the Properties of Maps Connected with Inverse Sturm–Liouville Problems
    
    Trudy Mat. Inst. Steklova, 260 (2008),  227–247
20. On the eigenvalues of the Sturm–Liouville operator with potentials from Sobolev spaces
    
    Mat. Zametki, 80:6 (2006),  864–884
21. Schrödinger Operators with Singular Potentials
    
    Trudy Mat. Inst. Steklova, 236 (2002),  262–271
22. Trace Formula for Sturm–Liouville Operators with Singular Potentials
    
    Mat. Zametki, 69:3 (2001),  427–442
23. On the Eigenvalues and Eigenfunctions of the Sturm–Liouville Operator with a Singular Potential
    
    Mat. Zametki, 69:2 (2001),  277–285
24. First-order regularised trace of the Sturm–Liouville operator with $\delta$-potential
    
    Uspekhi Mat. Nauk, 55:6(336) (2000),  155–156
25. Sturm–Liouville operators with singular potentials
    
    Mat. Zametki, 66:6 (1999),  897–912


26. Andrei Andreevich Shkalikov (on his seventieth birthday)
    
    Tr. Mosk. Mat. Obs., 80:2 (2019),  133–145