Ershov Aleksandr Anatol'evich

Publications in Math-Net.Ru

1. On the area of the $\varepsilon$-layer of a weakly convex figure
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:2 (2025),  280–293
2. Convergence of eigenelements of a Steklov-type boundary value problem for the Lame operator in a semi-cylinder with a small cavity
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:9 (2025),  1505–1517
3. Concerning one supplement to unification method of N.N. Krasovskii in differential games theory
   
   Dokl. RAN. Math. Inf. Proc. Upr., 519 (2024),  65–71
4. On the relation between $\alpha$-sets and weakly convex sets
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:4 (2024),  276–285
5. On the construction of solutions to a game problem with a fixed end time
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  255–273
6. Target-point interpolation of a program control in the approach problem
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  547–562
7. Some problems of target approach for nonlinear control system at a fixed time moment
   
   Izv. IMI UdGU, 62 (2023),  125–155
8. Bilinear interpolation of program control in approach problem
   
   Ufimsk. Mat. Zh., 15:3 (2023),  42–54
9. On eigenelements of a two-dimensional Steklov-type boundary value problem for the Lamé operator
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:1 (2023),  54–65
10. Arlen Mikhaylovich Il'in. 90 years since the birth
    
    Chelyab. Fiz.-Mat. Zh., 7:2 (2022),  135–138
11. On the parametric dependence of the volume of integral funnels and their approximations
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:3 (2022),  447–462
12. Reachable sets and integral funnels of differential inclusions depending on a parameter
    
    Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021),  49–53
13. Two game-theoretic problems of approach
    
    Mat. Sb., 212:9 (2021),  40–74
14. Convergence of eigenelements in a Steklov type boundary value problem for the Lame operator
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021),  37–47
15. On Estimating the Degree of Nonconvexity of Reachable Sets of Control Systems
    
    Trudy Mat. Inst. Steklova, 315 (2021),  261–270
16. Control system depending on a parameter
    
    Ural Math. J., 7:1 (2021),  120–159
17. Estimation of the growth of the degree of nonconvexity of reachable sets in terms of $\alpha$-sets
    
    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  100–106
18. On properties of intersection of $\alpha$-sets
    
    Izv. IMI UdGU, 55 (2020),  79–92
19. On the guaranteed estimates of the area of convex subsets of compacts on a plane
    
    Mat. Teor. Igr Pril., 12:4 (2020),  112–126
20. On estimation of mosaic block size and flake anisometry of artifical graphite by magnetoresistance
    
    Mat. Model., 32:1 (2020),  100–110
21. Construction of reachable sets of controlled systems with second order of accuracy with respect to time step
    
    Sib. Zh. Vychisl. Mat., 23:4 (2020),  365–380
22. On recovering of unknown constant parameter by several test controls
    
    Ufimsk. Mat. Zh., 12:4 (2020),  101–116
23. On one addition to evaluation by L. S. Pontryagin of the geometric difference of sets in a plane
    
    Izv. IMI UdGU, 54 (2019),  63–73
24. An approach problem for a control system and a compact set in the phase space in the presence of phase constraints
    
    Mat. Sb., 210:8 (2019),  29–66
25. An estimate of the Hausdorff distance between a set and its convex hull in Euclidean spaces of small dimension
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  223–235
26. Alpha-sets in finite-dimensional Euclidean spaces and their applications in control theory
    
    Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 14:3 (2018),  261–272
27. On reducing the motion of a controlled system to a Lebesgue set of a Lipschitz function
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:4 (2018),  489–512
28. Asymptotics of a boundary-value problem solution for the Laplace equation with type changing of the boundary condition on two small sites
    
    Chelyab. Fiz.-Mat. Zh., 2:3 (2017),  266–281
29. An approach problem for a control system with an unknown parameter
    
    Mat. Sb., 208:9 (2017),  56–99
30. Contact resistance of a square contact
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  105–113
31. Asymptotics of the velocity potential of an ideal fluid flowing around a thin body
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  77–93
32. Asymptotics of three-dimensional integrals singularly depending on a small parameter
    
    Chelyab. Fiz.-Mat. Zh., 1:1 (2016),  35–42
33. Modeling of the electric current flow in artificial graphite
    
    Mat. Model., 28:10 (2016),  125–138
34. Asymptotics of multidimensional integrals with singular dependence on a small parameter
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  84–92
35. On the solution of control problems with fixed terminal time
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:4 (2016),  543–564
36. Asimptotics of magnetoresistance
    
    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 5:1 (2016),  5–12
37. Asymptotics of a solution of the second boundary value problem for the Laplace equation outside a small neighborhood of a segment
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  81–96
38. On asymptotic formula for electric resistance of conductor with small contacts
    
    Ufimsk. Mat. Zh., 7:3 (2015),  16–28
39. The analysis of energy absorption in a blanket for contact electric resistance
    
    Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:2 (2015),  14–24
40. Mixed problem for a harmonic function
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013),  1094–1106
41. On measurement of electrical conductivity
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013),  1004–1007
42. Asymptotic expansion of the Dirichlet problem with Laplace equation outside a thin disk
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  92–107
43. Problem about a flow of a thin disk
    
    Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14,  61–78
44. Asymptotics of the solution of Laplace's equation with mixed boundary conditions
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1064–1080
45. Solutions asymptotics of a boundary elliptic problem
    
    Vestnik Chelyabinsk. Gos. Univ., 2010, no. 12,  12–19
46. Asymptotic behavior of the solution of the Neumann problem with a delta-like boundary function
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  479–485
47. Asymptotic Expansion of the Solution of a Second-Order Equation
    
    Mat. Zametki, 85:1 (2009),  134–138
48. Asymptotics of two-dimensional integrals depending singularly on a small parameter
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  116–126
49. Asymptotics of two-dimensional integrals depending singularity on a small parameter
    
    Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11,  5–11
50. On the asymptotic behavior of the solution of the second order linear differential equation
    
    Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10,  30–33


51. К 70-летию профессора Вячеслава Николаевича Павленко
    
    Chelyab. Fiz.-Mat. Zh., 2:4 (2017),  383–387
52. Arlen Mikhaylovich Il’in. Towards 85th birthday
    
    Chelyab. Fiz.-Mat. Zh., 2:1 (2017),  5–9