RUS  ENG
Full version
PEOPLE

Il'in Arlen Mikhailovich

Publications in Math-Net.Ru

  1. On the Solvability of a Boundary-Value Problem for an Elliptic Equation

    Mat. Zametki, 92:2 (2012),  216–224
  2. The asymptotics of a solution of a parabolic equation as time increases without bound

    Mat. Sb., 203:11 (2012),  61–82
  3. On asymptotic approximations of solutions of an equation with a small parameter

    Algebra i Analiz, 22:6 (2010),  109–126
  4. The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point

    Mat. Sb., 201:1 (2010),  81–102
  5. Asymptotics of two-dimensional integrals depending singularly on a small parameter

    Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  116–126
  6. Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe. II. Large values of the parameter $t$

    Mat. Sb., 198:9 (2007),  81–106
  7. Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe

    Mat. Sb., 197:1 (2006),  55–70
  8. Asymptotics of the solution to a differential equation with a small parameter in the case of two limit solutions

    Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006),  98–108
  9. The asymptotics of solutions of systems of differential equations with a small parameter for large times

    Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  97–110
  10. Birth of step-like contrast structures connected with a cusp catastrophe

    Mat. Sb., 195:12 (2004),  27–46
  11. Asymptotic form of solution of the degenerate differential equation of third order with a small parameter at the highest derivative

    Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004),  1574–1584
  12. The coefficients of inner asymptotic expansions for solutions of some singular boundary value problems

    Dal'nevost. Mat. Zh., 4:1 (2003),  78–85
  13. Равномерная асимптотика интеграла,зависящего от двух параметров

    Vestnik Chelyabinsk. Gos. Univ., 2003, no. 8,  35–38
  14. From weak discontinuity to gradient catastrophe

    Mat. Sb., 192:10 (2001),  3–18
  15. On the two-scale method for the problem of perturbed one-frequency oscillations

    TMF, 118:3 (1999),  383–389
  16. Asymptotic behavior of an elliptic equation with a small parameter multiplying the highest derivatives that degenerates on the boundary of the domain. The case of weak degeneration

    Differ. Uravn., 34:8 (1998),  1092–1099
  17. On the structure of the solution of a perturbed optimal-time control problem

    Fundam. Prikl. Mat., 4:3 (1998),  905–926
  18. Asymptotic behaviour of the eigenvalues of the Dirichlet problem in a domain with a narrow slit

    Mat. Sb., 189:4 (1998),  25–48
  19. An elliptic equation with a small parameter multiplying the highest derivatives that is degenerate on the boundary of the domain

    Differ. Uravn., 33:6 (1997),  847–848
  20. On the influence of small dissipation on weakly discontinuous solutions of a hyperbolic system

    Dokl. Akad. Nauk, 351:5 (1996),  583–585
  21. Asymptotic behavior of the solution of the time-optimality problem for a linear system under perturbation of initial data

    Dokl. Akad. Nauk, 350:2 (1996),  155–157
  22. Perturbation of finite-soliton solutions of the Korteweg–de Vries equation

    Dokl. Akad. Nauk, 336:5 (1994),  595–598
  23. On the asymptotics of the solution of a problem with a small parameter

    Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989),  258–275
  24. A boundary layer

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 34 (1988),  175–213
  25. The Cauchy problem for a quasilinear parabolic equation with a small parameter

    Dokl. Akad. Nauk SSSR, 283:3 (1985),  530–534
  26. Investigation of singularly perturbed boundary value problems by the method of matching asymptotic expansions

    Differ. Uravn., 21:10 (1985),  1760–1766
  27. A sufficient condition for stabilization of solution of the parabolic equation

    Mat. Zametki, 37:6 (1985),  851–856
  28. Asymptotics of the solutions of some higher order elliptic equations in conical domains

    Mat. Sb. (N.S.), 125(167):1(9) (1984),  88–116
  29. The asymptotics of the Green function for a second-order elliptic equation near the boundary of the domain

    Izv. Akad. Nauk SSSR Ser. Mat., 47:6 (1983),  1322–1339
  30. Asymptotics of solutions of some elliptic equations in unbounded domains

    Mat. Sb. (N.S.), 119(161):3(11) (1982),  307–324
  31. Asymptotics of the solution of a boundary value problem for Poisson's equation in the exterior of a cylinder and a half-cylinder

    Mat. Sb. (N.S.), 118(160):2(6) (1982),  184–202
  32. Asymptotics of the solution of the Cauchy problem for a quasi-linear parabolic equation with a small parameter

    Dokl. Akad. Nauk SSSR, 240:1 (1978),  11–13
  33. A boundary value problem with a small parameter

    Uspekhi Mat. Nauk, 32:3(195) (1977),  161–162
  34. A boundary value problem for the second order elliptic equation in a domain with a narrow slit. 2. Domain with a small cavity

    Mat. Sb. (N.S.), 103(145):2(6) (1977),  265–284
  35. A boundary value problem for the elliptic equation of second order in a domain with a narrow slit. 1. The two-dimensional case

    Mat. Sb. (N.S.), 99(141):4 (1976),  514–537
  36. A method of joining asymptotic expansions for the equation $\varepsilon\Delta u-a(x,y)u_y=f(x,y)$ in a rectangle

    Mat. Sb. (N.S.), 96(138):4 (1975),  568–583
  37. Method of matching of asymptotic expansions

    Dokl. Akad. Nauk SSSR, 217:5 (1974),  1033–1036
  38. On the behavior of the solution of a boundary value problem when $t\to\infty$

    Mat. Sb. (N.S.), 87(129):4 (1972),  529–553
  39. Asymptotic properties of a solution of a boundary-value problem

    Mat. Zametki, 8:3 (1970),  273–284
  40. Differencing scheme for a differential equation with a small parameter affecting the highest derivative

    Mat. Zametki, 6:2 (1969),  237–248
  41. On parabolic equations whose coefficients do not satisfy the Dini condition

    Mat. Zametki, 1:1 (1967),  71–80
  42. Number of arithmetical operations necessary for the approximate solution of Fredholm integral equations of the second kind

    Zh. Vychisl. Mat. Mat. Fiz., 7:4 (1967),  905–910
  43. Parabolic equations with continuous coefficients

    Dokl. Akad. Nauk SSSR, 171:6 (1966),  1264–1267
  44. Stability of Cauchy problem difference schemes for systems of partial differential equations

    Dokl. Akad. Nauk SSSR, 164:3 (1965),  491–494
  45. Eigenfunctions of an elliptic operator in certain unbounded regions

    Dokl. Akad. Nauk SSSR, 161:4 (1965),  757–759
  46. On a class of ultraparabolic equations

    Dokl. Akad. Nauk SSSR, 159:6 (1964),  1214–1217
  47. On Brownian Motion Equations

    Teor. Veroyatnost. i Primenen., 9:3 (1964),  466–491
  48. The influence of friction on ocean currents

    Dokl. Akad. Nauk SSSR, 150:6 (1963),  1274–1277
  49. Asymptotic behavior of solutions of parabolic equations and an ergodic property of non-homogeneous diffusion processes

    Mat. Sb. (N.S.), 60(102):3 (1963),  366–392
  50. On the fundamental solution of a parabolic equation

    Dokl. Akad. Nauk SSSR, 147:4 (1962),  768–771
  51. On an ergodic property of non-homogenoeus diffusion processes

    Dokl. Akad. Nauk SSSR, 145:5 (1962),  986–988
  52. Linear equations of the second order of parabolic type

    Uspekhi Mat. Nauk, 17:3(105) (1962),  3–146
  53. On the behavior of the solution of the Cauchy problem for a parabolic equation under unrestricted growth of time

    Uspekhi Mat. Nauk, 16:2(98) (1961),  115–121
  54. Asymptotic behavior of solutions of the Cauchy problem for some quasi-linear equations for large values of the time

    Mat. Sb. (N.S.), 51(93):2 (1960),  191–216
  55. Degenerate elliptic and parabolic equations

    Mat. Sb. (N.S.), 50(92):4 (1960),  443–498
  56. The behaviour of the solutions of Cauchy problem for certain quasilinear equations when the time is increasing unboundedly

    Dokl. Akad. Nauk SSSR, 120:1 (1958),  25–28

  57. Vasilii Mikhailovich Babich (on his eightieth birthay)

    Uspekhi Mat. Nauk, 66:1(397) (2011),  205–207
  58. To the 75th anniversary of academician of Russian Academy of Sciences Yu. S. Osipov

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  5–6
  59. Stanislav Ivanovich Pohozaev: On the occasion of his 70th birthday

    Trudy Mat. Inst. Steklova, 260 (2008),  7–9
  60. Stanislav Ivanovich Pokhozhaev (on his 70th birthday)

    Uspekhi Mat. Nauk, 61:2(368) (2006),  177–182
  61. Stanislav Ivanovich Pokhozhaev (A Tribute in Honor of His Seventieth Birthday)

    Differ. Uravn., 41:12 (2005),  1587–1591
  62. Leonid Romanovich Volevich (on his 70th birthday)

    Uspekhi Mat. Nauk, 59:5(359) (2004),  175–182
  63. Ol'ga Arsen'evna Oleinik (obituary)

    Uspekhi Mat. Nauk, 58:1(349) (2003),  165–174
  64. Anatolii Fedorovich Sidorov (1933–1999)

    Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  3–9
  65. Vasilii Mikhailovich Babich (on his 70th birthday)

    Uspekhi Mat. Nauk, 57:3(345) (2002),  181–187
  66. Anatolii Sergeevich Kalashnikov (obituary)

    Uspekhi Mat. Nauk, 55:5(335) (2000),  161–168
  67. Yurii Vladimirovich Egorov (on his 60th birthday)

    Uspekhi Mat. Nauk, 54:2(326) (1999),  195–204
  68. Ramil' Faritovich Bikbaev (obituary)

    Uspekhi Mat. Nauk, 51:1(307) (1996),  133–136
  69. Rafail Zalmanovich Khas'minskii (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 47:4(286) (1992),  223–225

© Steklov Math. Inst. of RAS, 2025