Eliseev Aleksandr Georgievich

Publications in Math-Net.Ru

1. Construction of regularized asymptotics for the solution of a singularly perturbed mixed problem on the half-axis for the inhomogeneous Schrödinger-type equation with the potential $V(x)=x$
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 231 (2024),  27–43
2. Regularized asymptotics of the solution of a singularly perturbed Cauchy problem for an equation of Schrodinger with potential $Q(x)=x^2$
   
   Chebyshevskii Sb., 24:5 (2023),  31–48
3. Regularized asymptotics of the solution of a singularly perturbed mixed problem on the semiaxis for an equation of Schrodinger type in the presence of a strong turning point for the limit operator
   
   Chebyshevskii Sb., 24:1 (2023),  50–68
4. Solution of the singularly perturbed Cauchy problem with a “weak” turning point of the limit operator
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192 (2021),  55–64
5. Initialization problem for singularly perturbed integro-differential and integral Volterra equations of the second kind
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191 (2021),  38–46
6. Asymptotic solution of a singularly perturbed Cauchy problem in the presence of a rational “simple” turning point
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 190 (2021),  81–87
7. The regularized asymptotics of a solution of the Cauchy problem in the presence of a weak turning point of the limit operator
   
   Mat. Sb., 212:10 (2021),  76–95
8. On an Initialization Problem
   
   Mat. Zametki, 108:2 (2020),  300–305
9. A solution of the singularly perturbed Cauchy problem in the presence of a «weak» turning point at the limit operator
   
   Sib. Èlektron. Mat. Izv., 17 (2020),  51–60
10. Asymptotic Integration of a Singularly Perturbed Volterra Equation in the Case of a Spectral Singularity of First Order
    
    Mat. Zametki, 101:5 (2017),  716–722
11. Unique Solvability of Singularly Perturbed Boundary-Value Problems with Unstable Spectrum of the Limit Operator
    
    Mat. Zametki, 95:2 (2014),  222–226
12. Theory of singular perturbations with a non-smooth spectrum of the limit operator
    
    Mat. Sb., 186:7 (1995),  25–40
13. Asymptotic integration of singularly perturbed problems
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  3–53
14. The theory of singular perturbations in the case of spectral singularities of a limit operator
    
    Mat. Sb. (N.S.), 131(173):4(12) (1986),  544–557
15. Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator. III
    
    Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984),  1171–1195
16. Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator. I, II
    
    Izv. Akad. Nauk SSSR Ser. Mat., 48:5 (1984),  999–1041
17. Perturbation theory in a Banach space
    
    Dokl. Akad. Nauk SSSR, 264:1 (1982),  34–38
18. О решении сопряженных задач теплообмена
    
    TVT, 17:1 (1979),  96–102