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Mel'nikova Irina Valer'yanovna

Publications in Math-Net.Ru

  1. Connection between discrete financial models and continuous models with Wiener and Poisson processes

    Computer Research and Modeling, 15:3 (2023),  781–795
  2. Stochastic equations and equations for probabilistic characteristics of processes with damped jumps

    Bulletin of Irkutsk State University. Series Mathematics, 45 (2023),  73–88
  3. Equations related to stochastic processes: semigroup approach and Fourier transform

    CMFD, 67:2 (2021),  324–348
  4. Semigroups of operators related to stochastic processes in an extension of the Gelfand-Shilov classification

    Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021),  74–87
  5. Semigroup Classification and Gelfand–Shilov Classification of Systems of Partial Differential Equations

    Mat. Zametki, 104:6 (2018),  895–911
  6. The study of equations for probability characteristics of random processes described by stochastic equations

    Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  185–193
  7. Stochastic equations with an unbounded operator coefficient and multiplicative noise

    Sibirsk. Mat. Zh., 58:6 (2017),  1354–1371
  8. The connection between infinite-dimensional stochastic problems and problems for probabilistic characteristics

    Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  191–205
  9. White noise calculus in applications to stochastic equations in Hilbert spaces

    CMFD, 53 (2014),  30–63
  10. Connection between weak and generalized solutions of infinite-dimensional stochastic problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5,  12–27
  11. The generalized well-posedness of the Cauchy problem for an abstract stochastic equation with multiplicative noise

    Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  251–267
  12. Regularized and generalized solutions of infinite-dimensional stochastic problems

    Mat. Sb., 202:11 (2011),  3–30
  13. Abstract Cauchy Problem in spaces of stochastic distributions

    CMFD, 16 (2006),  96–109
  14. Abstract stochastic equations. II. Solutions in spaces of abstract stochastic distributions

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 96 (2006),  212–271
  15. Peculiarities and regularization of ill-posed Cauchy problems with differential operators

    CMFD, 14 (2005),  3–156
  16. Well-posedness of the Cauchy problem for an inclusion

    Differ. Uravn., 40:10 (2004),  1430–1433
  17. The Cauchy problem for an inclusion in Banach spaces and distribution spaces

    Sibirsk. Mat. Zh., 42:4 (2001),  892–910
  18. The abstract Cauchy problem. Semigroup methods, methods for abstract distributions, and regularization methods

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 66 (1999),  16–113
  19. The method of integrated semigroups for Cauchy problems in Banach spaces

    Sibirsk. Mat. Zh., 40:1 (1999),  119–129
  20. Вырожденные полугруппы и равномерная корректность задачи Коши для уравнения типа Соболева

    Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4,  134–144
  21. Properties of Lions's d-Semigroups and Generalized Well-Posedness of the Cauchy Problem

    Funktsional. Anal. i Prilozhen., 31:3 (1997),  23–34
  22. Generalized well-posedness of the Cauchy problem, and integrated semigroups

    Dokl. Akad. Nauk, 343:4 (1995),  448–451
  23. Well-posedness of the degenerate Cauchy problem in a Banach space

    Dokl. Akad. Nauk, 336:1 (1994),  17–20
  24. Integrated semigroups and $C$-semigroups. Well-posedness and regularization of differential-operator problems

    Uspekhi Mat. Nauk, 49:6(300) (1994),  111–150
  25. $C$-semigroups and the regularization of an ill-posed Cauchy problem

    Dokl. Akad. Nauk, 329:3 (1993),  270–273
  26. An integrated family of $M$ and $N$ functions

    Dokl. Akad. Nauk, 326:1 (1992),  35–39
  27. Regularization of ill-posed differential problems

    Sibirsk. Mat. Zh., 33:2 (1992),  125–134
  28. New generalized functions and weak well-posedness of operator problems

    Dokl. Akad. Nauk SSSR, 317:1 (1991),  22–26
  29. Numerical implementation of the boundary-value problem method for the regularization of ill-posed problems

    Zh. Vychisl. Mat. Mat. Fiz., 31:6 (1991),  929–933
  30. Conditions for the solvability of abstract boundary value problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 10,  17–24
  31. Classification with respect to boundary value problems of a complete second-order equation in a Banach space

    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 6,  39–45
  32. Construction of quasivalues for weakly well-posed problems

    Dokl. Akad. Nauk SSSR, 306:3 (1989),  530–535
  33. A connection between the well-posedness of the Cauchy problem for an equation and for a system in a Banach space

    Dokl. Akad. Nauk SSSR, 300:2 (1988),  280–284
  34. A general scheme for the elimination of divergences of different types

    Sibirsk. Mat. Zh., 29:6 (1988),  66–73
  35. Regularization of an ill-posed Cauchy problem for a second-order equation in a Banach space

    Differ. Uravn., 22:8 (1986),  1332–1338
  36. The well-posedness of the Dirichlet problem for a second-order equation in a Banach space

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 8,  46–52
  37. Regularization of divergent integrals and regularization of ill-posed boundary value problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 4,  44–49
  38. A theorem of Miyadera–Feller–Phillips type for a complete second-order equation in a Banach space

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 4,  34–40
  39. A boundary value problem for a first-order equation in a Banach space

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 3,  52–56
  40. The family $M$, $N$ of operator functions and second-order equations in Banach space

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 2,  45–52
  41. Regularization of a boundary value problem for an oscillation equation

    Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  783–789
  42. Classification and well-posedness of the Cauchy problem for second-order equations in Banach space

    Dokl. Akad. Nauk SSSR, 276:5 (1984),  1066–1071
  43. Solution of an ill-posed Cauchy problem for a second-order operator-differential equation

    Differ. Uravn., 20:6 (1984),  1092–1095
  44. The Cauchy problem for a second-order equation

    Differ. Uravn., 19:3 (1983),  537–538
  45. Solution of an inverse Cauchy problem by the quasireversibility method

    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 6,  36–38
  46. The connection between the Dirichlet and Cauchy problems

    Differ. Uravn., 16:2 (1980),  311–316
  47. The Cauchy problem and the method of quasireversibility for second-order equations in a Banach space

    Differ. Uravn., 15:4 (1979),  614–618
  48. Solution of equations of Wiener–Hopf type in a space of distributions of several variables

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 6,  62–71
  49. The solution of an equation of the first kind with a closed multivalued operator

    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 4,  55–59
  50. Solution of Wiener–Hopf type equations in a space of distributions

    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 10,  53–58
  51. The properties of the product of distributions of slow growth

    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 5,  58–62

  52. Valentin Konstantinovich Ivanov (obituary)

    Uspekhi Mat. Nauk, 48:5(293) (1993),  147–152
  53. Valentin Konstantinovich Ivanov (on the occasion of his eightieth birthday)

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10,  3–4
  54. Meetings of the Ural Mathematical Society

    Uspekhi Mat. Nauk, 42:3(255) (1987),  233–236

© Steklov Math. Inst. of RAS, 2024