Lomov Sergei Aleksandrovich

Publications in Math-Net.Ru

1. Exactly solvable singularly perturbed problems
   
   Dokl. Akad. Nauk, 338:5 (1994),  595–597
2. Pseudo-analytic solutions of singularly perturbed problems
   
   Dokl. Akad. Nauk, 334:6 (1994),  694–695
3. Specific smoothness of solutions of singularly perturbed problems
   
   Differ. Uravn., 29:5 (1993),  786–794
4. Pseudo-analyticity and the problem of mathematical description of a boundary layer
   
   Dokl. Akad. Nauk, 325:2 (1992),  231–236
5. Sharpening the concept of an asymptotic series for singularly perturbed problems
   
   Dokl. Akad. Nauk SSSR, 310:5 (1990),  1047–1050
6. Analytic properties of solutions of differential equations with singular points
   
   Dokl. Akad. Nauk SSSR, 304:1 (1989),  22–24
7. Smoothness of the solutions of differential equations with respect to a singularly entering parameter
   
   Dokl. Akad. Nauk SSSR, 299:4 (1988),  805–808
8. Asymptotic integration of singularly perturbed problems
   
   Uspekhi Mat. Nauk, 43:3(261) (1988),  3–53
9. Singularly perturbed Vallée-Poussin problem with alternating spectrum
   
   Differ. Uravn., 22:11 (1986),  1997–1999
10. 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
11. Tikhonov's theorem on passage to the limit and the regularization method
    
    Differ. Uravn., 21:10 (1985),  1669–1679
12. Asymptotic integration of problems with multiple points of the spectrum
    
    Differ. Uravn., 20:11 (1984),  2003–2006
13. Asymptotic integration of the Cauchy problem with countably multiple spectrum
    
    Mat. Zametki, 35:1 (1984),  63–82
14. Generalization of the Tikhonov theorem to the case of a purely imaginary spectrum
    
    Dokl. Akad. Nauk SSSR, 271:6 (1983),  1317–1320
15. Analytic solutions of singularly perturbed problems
    
    Dokl. Akad. Nauk SSSR, 265:3 (1982),  529–533
16. Perturbation theory in a Banach space
    
    Dokl. Akad. Nauk SSSR, 264:1 (1982),  34–38
17. The structure of a fundamental system of solutions of a singularly perturbed equation with a regular singular point
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:5 (1982),  1124–1133
18. Asymptotic integration of singularly perturbed problems in Hilbert space
    
    Differ. Uravn., 17:10 (1981),  1792–1805
19. Regularization method for systems with a weak nonlinearity in the resonance case
    
    Mat. Zametki, 25:6 (1979),  871–889
20. A general approach to the asymptotic integration of singularly perturbed problems in the case of an unbounded nonselfadjoint operator
    
    Dokl. Akad. Nauk SSSR, 236:1 (1977),  11–13
21. Unique solvability of certain matrix partial differential equations
    
    Mat. Zametki, 21:4 (1977),  525–530
22. Formalism of nonclassical perturbation theory
    
    Dokl. Akad. Nauk SSSR, 212:1 (1973),  33–36
23. The method of perturbations for singular problems
    
    Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972),  635–651
24. Asymptotic solution of differential equations with parameters
    
    Dokl. Akad. Nauk SSSR, 196:2 (1971),  285–288
25. Approximate solution of certain equations with parameters
    
    Differ. Uravn., 5:7 (1969),  1193–1206
26. The construction of asymptotic solutions of certain problems involving parameters
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968),  884–913
27. A method of regularizing singular perturbations
    
    Dokl. Akad. Nauk SSSR, 177:6 (1967),  1273–1276
28. A power boundary layer in problems with a singular perturbation
    
    Izv. Akad. Nauk SSSR Ser. Mat., 30:3 (1966),  525–572
29. Generalization of a theorem of Fuks to the non-analytic case
    
    Mat. Sb. (N.S.), 65(107):4 (1964),  498–511
30. A power boundary layer in problems with a small parameter
    
    Dokl. Akad. Nauk SSSR, 148:3 (1963),  516–519


31. «Понтрягинские чтения-IV» на весенней Воронежской математической школе
    
    Differ. Uravn., 30:3 (1994),  538–539
32. Воронежская весенняя математическая школа «Современные методы качественной теории краевых задач»
    
    Differ. Uravn., 28:12 (1992),  2191
33. Воронежская весенняя математическая школа «Современные методы качественной теории краевых задач»
    
    Differ. Uravn., 28:6 (1992),  1093–1094
34. Mathematical School “The Method of Small Parameter and Its Application”
    
    Uspekhi Mat. Nauk, 33:3(201) (1978),  207–213