Sheipak Igor Anatolievich

Publications in Math-Net.Ru

1. Exact estimates for higher order derivatives in Sobolev spaces
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1,  3–10
2. Bernoulli numbers in the embedding constants of Sobolev spaces with different boundary conditions
   
   Algebra i Analiz, 35:2 (2023),  226–245
3. Relationship Between the Best $L_p$ Approximations of Splines by Polynomials with Estimates of the Values of Intermediate Derivatives in Sobolev Spaces
   
   Mat. Zametki, 114:4 (2023),  623–627
4. Chebyshev-Type Polynomials Arising in Poincaré Limit Inequalities
   
   Mat. Zametki, 112:1 (2022),  153–157
5. String equation with weight that is a noncompact multiplier: continuous spectrum and eigenvalues
   
   Algebra i Analiz, 33:4 (2021),  155–172
6. On Sharp Estimates of Even-Order Derivatives in Sobolev Spaces
   
   Funktsional. Anal. i Prilozhen., 55:1 (2021),  43–55
7. Orthogonality Relations for the Primitives of Legendre Polynomials and Their Applications to Some Spectral Problems for Differential Operators
   
   Mat. Zametki, 110:4 (2021),  498–506
8. On Hölder exponents of the self-similar functions
   
   Funktsional. Anal. i Prilozhen., 53:1 (2019),  67–78
9. An explicit form for extremal functions in the embedding constant problem for Sobolev spaces
   
   Tr. Mosk. Mat. Obs., 80:2 (2019),  221–246
10. On the Singularity of Functions and the Quantization of Probability Measures
    
    Mat. Zametki, 102:4 (2017),  628–631
11. On the string equation with a singular weight belonging to the space of multipliers in Sobolev spaces with negative index of smoothness
    
    Izv. RAN. Ser. Mat., 80:6 (2016),  258–273
12. Description of Self-Similar Multipliers in Negative Sobolev Spaces Satisfying the Dirichlet Condition
    
    Mat. Zametki, 99:2 (2016),  314–318
13. Asymptotics of the Spectrum of a Differential Operator with the Weight Generated by the Minkowski Function
    
    Mat. Zametki, 97:2 (2015),  302–308
14. On the Neumann Problem for the Sturm–Liouville Equation with Cantor-Type Self-Similar Weight
    
    Funktsional. Anal. i Prilozhen., 47:4 (2013),  18–29
15. Eigenvalue asymptotics of the problem of high odd order with dicrete self-similar weight
    
    Algebra i Analiz, 24:2 (2012),  104–119
16. A boundedness criterion for the variations of self-similar functions
    
    Sibirsk. Mat. Zh., 53:1 (2012),  68–88
17. Spectrum of a Jacobi matrix with exponentially growing matrix elements
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6,  15–21
18. Asymptotics of the Eigenvalues of the Sturm–Liouville Problem with Discrete Self-Similar Weight
    
    Mat. Zametki, 88:5 (2010),  662–672
19. Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string
    
    Mat. Zametki, 88:2 (2010),  303–316
20. On the Construction and Some Properties of Self-Similar Functions in the Spaces $L_p[0,1]$
    
    Mat. Zametki, 81:6 (2007),  924–938
21. Self-similar functions in $L_2[0,1]$ and the Sturm–Liouville problem with singular indefinite weight
    
    Mat. Sb., 197:11 (2006),  13–30
22. Indefinite Sturm–Liouville Problem for Some Classes of Self-similar Singular Weights
    
    Trudy Mat. Inst. Steklova, 255 (2006),  88–98
23. Spectral properties of a certain operator matrix
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 3,  23–30
24. Spectral problems associated with stability of fluid motion in an annulus in a magnetic field
    
    Fundam. Prikl. Mat., 7:2 (2001),  583–596
25. Nontrivial fractals in the plane and linear operators with joint spectral radius equal to 1
    
    Mat. Zametki, 63:5 (1998),  797–800
26. The eigenfunction system of a hydrodynamical problem is a Riesz basis
    
    Mat. Zametki, 58:5 (1995),  790–793
27. On the basis properties of systems of root vectors of operators that are almost self-adjoint in Pontryagin spaces
    
    Mat. Zametki, 57:6 (1995),  937–940
28. Spectral analysis of asymmetric disturbed Couette flow and related problems of hydrodynamic stability
    
    Mat. Zametki, 57:2 (1995),  278–282


29. Andrei Andreevich Shkalikov (on his seventieth birthday)
    
    Tr. Mosk. Mat. Obs., 80:2 (2019),  133–145
30. Олимпиада «Ломоносов»-2018. Математика
    
    Kvant, 2018, no. 11,  54–55
31. Олимпиада «Покори Воробьевы горы!»
    
    Kvant, 2017, no. 9,  53–55
32. Олимпиада «Ломоносов»-2017
    
    Kvant, 2017, no. 4,  52–58