Kurochkin Sergey Vladimirovich

Publications in Math-Net.Ru

1. Asymptotics of optimal investment behavior under a risk process with two-sided jumps
   
   Izv. Saratov Univ. Math. Mech. Inform., 25:3 (2025),  316–324
2. Singular nonlinear problems for phase trajectories of some self-similar solutions of boundary layer equations: correct formulation, analysis, and calculations
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023),  245–261
3. Optimal control of investment in a collective pension insurance model: study of singular nonlinear problems for integro-differential equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:9 (2022),  1473–1490
4. Singular nonlinear problems for self-similar solutions of boundary-layer equations with zero pressure gradient: analysis and numerical solution
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:10 (2021),  1619–1645
5. Neural network with smooth activation functions and without bottlenecks is almost surely a Morse function
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:7 (2021),  1172–1178
6. Absence of bottlenecks in a neural network determines its generic functional properties
   
   Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  74–77
7. Detection of the homotopy type of an object using differential invariants of an approximating map
   
   Computer Optics, 43:4 (2019),  611–617
8. Existence conditions of negative eigenvalues in the regular Sturm–Liouville boundary value problem and explicit expressions for their number
   
   Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  2014–2025
9. Dynamical insurance models with investment: Constrained singular problems for integrodifferential equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016),  47–98
10. Calculation of the spheroidal functions of the first kind for complex values of the argument and parameters
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015),  798–806
11. Singular initial-value and boundary-value problems for integrodifferential equations in dynamical insurance models with investments
    
    CMFD, 53 (2014),  5–29
12. Indexing of eigenvalues of boundary value problems for Hamiltonian systems of ordinary differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  425–429
13. Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: Analysis and numerical solution
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:10 (2012),  1812–1846
14. Calculation of solutions to the Mathieu equation and of related quantities
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007),  414–423
15. Highly accurate calculation of radial spheroidal functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006),  996–1001
16. Highly accurate calculation of agular spheroidal functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006),  12–17
17. Analytic–numerical investigation of the nonlinear boundary value problem for a superconducting plate in a magnetic field
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005),  1651–1676
18. The investigation of charged topological soliton stability in the system of two interacting scalar fields
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004),  2069–2083
19. A method of detection of instability and for determination of unstable eigenvalues in the Orr–Sommerfeld problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:1 (2001),  86–94
20. On stability of differential sweep methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:11 (2000),  1611–1614
21. Numerical determination of a boundary condition near a singularity
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:5 (1997),  543–552
22. Topological methods for the localization of eigenvalues of boundary value problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 35:8 (1995),  1165–1174
23. A method for finding the eigenvalues of a nonselfadjoint boundary value problem
    
    Dokl. Akad. Nauk, 336:4 (1994),  442–443
24. Singular boundary-value problems for linear Hamiltonian systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:1 (1994),  58–67
25. Numerical investigation of axisymmetric free oscillations in a vacuum and excitation in a compressible medium of a prolate cylindrical shell with hemispherical ends
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:10 (1993),  1550–1580
26. The discrete character of the spectrum of a linear two-point boundary-value problem with constraints at singular points
    
    Zh. Vychisl. Mat. Mat. Fiz., 32:12 (1992),  1995–2000
27. Some estimates for the eigenvalues of a perturbation operator
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1736–1739
28. Properties of Banach spaces related to projectivity
    
    Funktsional. Anal. i Prilozhen., 20:1 (1986),  75–76
29. The cardinality of an $F$-space
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5,  51–52