Sheipak Igor Anatolievich

Publications in Math-Net.Ru

1. Generalized family of Takagi functions in some spectral problems
   
   Algebra i Analiz, 38:1 (2026),  235–246
2. On sharp uniform estimates of intermediate even-order derivatives in Sobolev spaces
   
   Mat. Zametki, 118:5 (2025),  698–713
3. Operator model of the Benard problem and its spectral analysis
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 2,  23–29
4. Exact estimates of functions in Sobolev spaces with uniform norm
   
   Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  9–14
5. Exact estimates for higher order derivatives in Sobolev spaces
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1,  3–10
6. Bernoulli numbers in the embedding constants of Sobolev spaces with different boundary conditions
   
   Algebra i Analiz, 35:2 (2023),  226–245
7. 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
8. Chebyshev-Type Polynomials Arising in Poincaré Limit Inequalities
   
   Mat. Zametki, 112:1 (2022),  153–157
9. String equation with weight that is a noncompact multiplier: continuous spectrum and eigenvalues
   
   Algebra i Analiz, 33:4 (2021),  155–172
10. On Sharp Estimates of Even-Order Derivatives in Sobolev Spaces
    
    Funktsional. Anal. i Prilozhen., 55:1 (2021),  43–55
11. 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
12. On Hölder exponents of the self-similar functions
    
    Funktsional. Anal. i Prilozhen., 53:1 (2019),  67–78
13. An explicit form for extremal functions in the embedding constant problem for Sobolev spaces
    
    Tr. Mosk. Mat. Obs., 80:2 (2019),  221–246
14. On the Singularity of Functions and the Quantization of Probability Measures
    
    Mat. Zametki, 102:4 (2017),  628–631
15. 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
16. Description of Self-Similar Multipliers in Negative Sobolev Spaces Satisfying the Dirichlet Condition
    
    Mat. Zametki, 99:2 (2016),  314–318
17. Asymptotics of the Spectrum of a Differential Operator with the Weight Generated by the Minkowski Function
    
    Mat. Zametki, 97:2 (2015),  302–308
18. On the Neumann Problem for the Sturm–Liouville Equation with Cantor-Type Self-Similar Weight
    
    Funktsional. Anal. i Prilozhen., 47:4 (2013),  18–29
19. Eigenvalue asymptotics of the problem of high odd order with dicrete self-similar weight
    
    Algebra i Analiz, 24:2 (2012),  104–119
20. A boundedness criterion for the variations of self-similar functions
    
    Sibirsk. Mat. Zh., 53:1 (2012),  68–88
21. Spectrum of a Jacobi matrix with exponentially growing matrix elements
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6,  15–21
22. Asymptotics of the Eigenvalues of the Sturm–Liouville Problem with Discrete Self-Similar Weight
    
    Mat. Zametki, 88:5 (2010),  662–672
23. Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string
    
    Mat. Zametki, 88:2 (2010),  303–316
24. On the Construction and Some Properties of Self-Similar Functions in the Spaces $L_p[0,1]$
    
    Mat. Zametki, 81:6 (2007),  924–938
25. Self-similar functions in $L_2[0,1]$ and the Sturm–Liouville problem with singular indefinite weight
    
    Mat. Sb., 197:11 (2006),  13–30
26. Indefinite Sturm–Liouville Problem for Some Classes of Self-similar Singular Weights
    
    Trudy Mat. Inst. Steklova, 255 (2006),  88–98
27. Spectral properties of a certain operator matrix
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 3,  23–30
28. Spectral problems associated with stability of fluid motion in an annulus in a magnetic field
    
    Fundam. Prikl. Mat., 7:2 (2001),  583–596
29. Nontrivial fractals in the plane and linear operators with joint spectral radius equal to 1
    
    Mat. Zametki, 63:5 (1998),  797–800
30. The eigenfunction system of a hydrodynamical problem is a Riesz basis
    
    Mat. Zametki, 58:5 (1995),  790–793
31. 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
32. Spectral analysis of asymmetric disturbed Couette flow and related problems of hydrodynamic stability
    
    Mat. Zametki, 57:2 (1995),  278–282


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