Danilov Leonid Ivanovich

Publications in Math-Net.Ru

1. On the spectrum of Landau Hamiltonian perturbed by periodic electric potential from Sobolev space $H^s_{\rm loc}(\mathbb R^2;\mathbb R),$ $s>0$
   
   Chelyab. Fiz.-Mat. Zh., 10:1 (2025),  37–52
2. On the spectrum of the Landau Hamiltonian perturbed by a periodic smooth electric potential
   
   TMF, 221:3 (2024),  654–667
3. On a class of Besicovitch almost periodic type selections of multivalued maps
   
   Izv. IMI UdGU, 61 (2023),  57–75
4. On the spectrum of the Landau Hamiltonian perturbed by a periodic electric potential
   
   Mat. Sb., 214:12 (2023),  76–105
5. On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential
   
   Izv. IMI UdGU, 58 (2021),  18–47
6. Absolute Continuity of the Spectrum of a Periodic 3D Magnetic Schrödinger Operator with Singular Electric Potential
   
   Mat. Zametki, 110:4 (2021),  507–523
7. On the spectrum of a Landau Hamiltonian with a periodic electric potential $V\in L^p_{\mathrm {loc}}(\mathbb{R}^2)$, $p>1$
   
   Izv. IMI UdGU, 55 (2020),  42–59
8. Spectrum of the Landau Hamiltonian with a periodic electric potential
   
   TMF, 202:1 (2020),  47–65
9. On the spectrum of a relativistic Landau Hamiltonian with a periodic electric potential
   
   Izv. IMI UdGU, 54 (2019),  3–26
10. On the spectrum of a two-dimensional schrödinger operator with a homogeneous magnetic field and a periodic electric potential
    
    Izv. IMI UdGU, 51 (2018),  3–41
11. Shift dynamical systems and measurable selectors of multivalued maps
    
    Mat. Sb., 209:11 (2018),  69–102
12. On the spectrum of a periodic magnetic Dirac operator
    
    Izv. IMI UdGU, 2016, no. 2(48),  3–21
13. Recurrent and almost automorphic selections of multivalued mappings
    
    Izv. IMI UdGU, 2015, no. 2(46),  45–52
14. Recurrent and almost recurrent multivalued maps and their selections. III
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  25–52
15. On the spectrum of a two-dimensional generalized periodic Schrödinger operator. II
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 2,  3–28
16. On the spectrum of a two-dimensional generalized periodic Schrödinger operator
    
    Izv. IMI UdGU, 2013, no. 1(41),  78–95
17. The uniform approximation of recurrent functions and almost recurrent functions
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4,  36–54
18. Recurrent and almost recurrent multivalued maps and their selections. II
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 4,  3–21
19. On the spectrum of a periodic Schrödinger operator with potential in the Morrey space
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 3,  25–47
20. Recurrent and almost recurrent multivalued maps and their selections
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2,  19–51
21. On a class of Weyl almost periodic selections of multivalued maps
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1,  24–45
22. On almost periodic sections of multivalued maps
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  34–41
23. On Besicovitch almost periodic selections of multivalued maps
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 1,  97–120
24. Absolute continuity of the spectrum of multidimensional periodic magnetic Dirac operator
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 1,  61–96
25. Weyl almost periodic selections of multivalued maps
    
    Izv. IMI UdGU, 2006, no. 3(37),  27–28
26. On absolute continuity of the spectrum of three-dimensional periodic Dirac operator
    
    Izv. IMI UdGU, 2006, no. 1(35),  49–76
27. On uniform approximation of Weyl and Besicovitch almost periodic functions
    
    Izv. IMI UdGU, 2006, no. 1(35),  33–48
28. Weyl almost periodic selections of supports of measure-valued functions
    
    Sib. Èlektron. Mat. Izv., 3 (2006),  384–392
29. The absence of eigenvalues in the spectrum of ageneralized two-dimensional periodic Dirac operator
    
    Algebra i Analiz, 17:3 (2005),  47–80
30. On Weyl almost periodic measure-valued functions
    
    Izv. IMI UdGU, 2005, no. 1(31),  79–98
31. On absence of eigenvalues in the spectra of two-dimensional periodic Dirac and Schrödinger operators
    
    Izv. IMI UdGU, 2004, no. 1(29),  49–84
32. Uniform approximation of Stepanov almost periodic functions
    
    Izv. IMI UdGU, 2004, no. 1(29),  33–48
33. Absolute Continuity of the Spectrum of a Periodic Schrödinger Operator
    
    Mat. Zametki, 73:1 (2003),  49–62
34. The Spectrum of the Two-Dimensional Periodic Schrödinger Operator
    
    TMF, 134:3 (2003),  447–459
35. On the spectra of two-dimensional periodic Schrödinger and Dirac operators
    
    Izv. IMI UdGU, 2002, no. 3(26),  3–98
36. Absolute continuity of the spectrum of a periodic Dirac operator
    
    Differ. Uravn., 36:2 (2000),  233–240
37. On almost periodic multivalued maps
    
    Mat. Zametki, 68:1 (2000),  82–90
38. Almost periodic measure-valued functions
    
    Mat. Sb., 191:12 (2000),  27–50
39. Spectrum of the periodic Dirac operator
    
    TMF, 124:1 (2000),  3–17
40. On the spectrum of the two-dimensional periodic Dirac operator
    
    TMF, 118:1 (1999),  3–14
41. On the uniform approximation of a function that is almost periodic in the sense of Stepanov
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 5,  10–18
42. Measure-valued almost periodic functions
    
    Mat. Zametki, 61:1 (1997),  57–68
43. Measure-valued almost periodic functions and almost periodic selections of multivalued maps
    
    Mat. Sb., 188:10 (1997),  3–24
44. Resolvent estimates and the spectrum of the Dirac operator with periodical potential
    
    TMF, 103:1 (1995),  3–22
45. On a pointwise maximum theorem in the almost periodic case
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 6,  50–59
46. Estimates for the Poisson kernel for a tube domain over an acute cone
    
    Dokl. Akad. Nauk SSSR, 316:4 (1991),  805–807
47. A comparison theorem on the uniform oscillation of a linear equation
    
    Differ. Uravn., 27:9 (1991),  1636–1637
48. Effective sufficient conditions for the uniform oscillation of a linear differential equation
    
    Mat. Zametki, 49:3 (1991),  28–34
49. Effective sufficient conditions for uniform local controllability
    
    Differ. Uravn., 26:4 (1990),  563–572
50. Spectrum of the Dirac operator in $\mathbb R^n$ with periodic potential
    
    TMF, 85:1 (1990),  41–53
51. Regularity of an acute open cone in $\mathbf{R}^n$
    
    Sibirsk. Mat. Zh., 26:2 (1985),  198–201