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Mel'nikova, Irina Valer'yanovna
Statistics Math-Net.Ru
Total publications: 54
Scientific articles: 51
Presentations: 3

Number of views:
This page:2031
Abstract pages:19070
Full texts:4489
References:785
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person20259
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/206500
https://orcid.org/0000-0003-4623-7954

Publications in Math-Net.Ru Citations
2023
1. I. V. Mel'nikova, V. A. Bovkun, “Connection between discrete financial models and continuous models with Wiener and Poisson processes”, Computer Research and Modeling, 15:3 (2023),  781–795  mathnet
2. Irina V. Melnikova, Vadim A. Bovkun, “Stochastic equations and equations for probabilistic characteristics of processes with damped jumps”, Bulletin of Irkutsk State University. Series Mathematics, 45 (2023),  73–88  mathnet
2021
3. I. V. Melnikova, U. A. Alekseeva, V. A. Bovkun, “Equations related to stochastic processes: semigroup approach and Fourier transform”, CMFD, 67:2 (2021),  324–348  mathnet 3
4. I. V. Mel'nikova, V. A. Bovkun, “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  mathnet  elib 1
2018
5. I. V. Mel'nikova, U. A. Alekseeva, “Semigroup Classification and Gelfand–Shilov Classification of Systems of Partial Differential Equations”, Mat. Zametki, 104:6 (2018),  895–911  mathnet  mathscinet  elib; Math. Notes, 104:6 (2018), 886–899  isi  scopus 4
6. I. V. Mel'nikova, D. I. Smetannikov, “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  mathnet  elib
2017
7. I. V. Melnikova, M. A. Alshanskiy, “Stochastic equations with an unbounded operator coefficient and multiplicative noise”, Sibirsk. Mat. Zh., 58:6 (2017),  1354–1371  mathnet  elib; Siberian Math. J., 58:6 (2017), 1052–1066  isi  scopus 3
8. I. V. Mel'nikova, U. A. Alekseeva, V. A. Bovkun, “The connection between infinite-dimensional stochastic problems and problems for probabilistic characteristics”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  191–205  mathnet  elib 2
2014
9. I. V. Melnikova, M. A. Alshanskiy, “White noise calculus in applications to stochastic equations in Hilbert spaces”, CMFD, 53 (2014),  30–63  mathnet; Journal of Mathematical Sciences, 218:4 (2016), 395–429 3
10. I. V. Mel'nikova, O. S. Starkova, “Connection between weak and generalized solutions of infinite-dimensional stochastic problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5,  12–27  mathnet; Russian Math. (Iz. VUZ), 58:5 (2014), 8–20  scopus 1
2012
11. I. V. Melnikova, M. A. Alshanskiy, “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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 134–150  isi  scopus 7
2011
12. M. A. Alshanskiy, I. V. Mel'nikova, “Regularized and generalized solutions of infinite-dimensional stochastic problems”, Mat. Sb., 202:11 (2011),  3–30  mathnet  mathscinet  zmath  elib; Sb. Math., 202:11 (2011), 1565–1592  isi  scopus 20
2006
13. I. V. Mel'nikova, A. I. Filinkov, “Abstract Cauchy Problem in spaces of stochastic distributions”, CMFD, 16 (2006),  96–109  mathnet  mathscinet; Journal of Mathematical Sciences, 149:5 (2008), 1567–1579  scopus 3
14. I. V. Mel'nikova, A. I. Filinkov, M. A. Alshansky, “Abstract stochastic equations. II. Solutions in spaces of abstract stochastic distributions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 96 (2006),  212–271  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 116:5 (2003), 3620–3656 29
2005
15. U. A. Anufrieva, I. V. Mel'nikova, “Peculiarities and regularization of ill-posed Cauchy problems with differential operators”, CMFD, 14 (2005),  3–156  mathnet  mathscinet  zmath  elib; Journal of Mathematical Sciences, 148:4 (2008), 481–632  scopus 22
2004
16. I. V. Mel'nikova, “Well-posedness of the Cauchy problem for an inclusion”, Differ. Uravn., 40:10 (2004),  1430–1433  mathnet  mathscinet; Differ. Equ., 40:10 (2004), 1512–1516 4
2001
17. I. V. Mel'nikova, “The Cauchy problem for an inclusion in Banach spaces and distribution spaces”, Sibirsk. Mat. Zh., 42:4 (2001),  892–910  mathnet  mathscinet  zmath; Siberian Math. J., 42:4 (2001), 751–765  isi 15
1999
18. I. V. Mel'nikova, “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  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:2 (2001), 941–1007 1
19. I. V. Mel'nikova, “The method of integrated semigroups for Cauchy problems in Banach spaces”, Sibirsk. Mat. Zh., 40:1 (1999),  119–129  mathnet  mathscinet  zmath; Siberian Math. J., 40:1 (1999), 100–109  isi 2
20. I. V. Mel'nikova, M. A. Alshanskiy, “Вырожденные полугруппы и равномерная корректность задачи Коши для уравнения типа Соболева”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4,  134–144  mathnet
1997
21. I. V. Mel'nikova, “Properties of Lions's d-Semigroups and Generalized Well-Posedness of the Cauchy Problem”, Funktsional. Anal. i Prilozhen., 31:3 (1997),  23–34  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:3 (1997), 167–175  isi 6
1995
22. I. V. Mel'nikova, M. A. Alshanskiy, “Generalized well-posedness of the Cauchy problem, and integrated semigroups”, Dokl. Akad. Nauk, 343:4 (1995),  448–451  mathnet  mathscinet  zmath 4
1994
23. I. V. Mel'nikova, M. A. Alshanskiy, “Well-posedness of the degenerate Cauchy problem in a Banach space”, Dokl. Akad. Nauk, 336:1 (1994),  17–20  mathnet  mathscinet  zmath; Dokl. Math., 49:3 (1994), 449–453 2
24. I. V. Mel'nikova, A. I. Filinkov, “Integrated semigroups and $C$-semigroups. Well-posedness and regularization of differential-operator problems”, Uspekhi Mat. Nauk, 49:6(300) (1994),  111–150  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:6 (1994), 115–155  isi 21
1993
25. I. V. Mel'nikova, S. V. Bochkareva, “$C$-semigroups and the regularization of an ill-posed Cauchy problem”, Dokl. Akad. Nauk, 329:3 (1993),  270–273  mathnet  mathscinet  zmath; Dokl. Math., 47:2 (1993), 228–232 1
1992
26. I. V. Mel'nikova, A. I. Filinkov, “An integrated family of $M$ and $N$ functions”, Dokl. Akad. Nauk, 326:1 (1992),  35–39  mathnet  mathscinet  zmath; Dokl. Math., 46:2 (1993), 214–219
27. I. V. Mel'nikova, “Regularization of ill-posed differential problems”, Sibirsk. Mat. Zh., 33:2 (1992),  125–134  mathnet  mathscinet  zmath; Siberian Math. J., 33:2 (1992), 289–298  isi 15
1991
28. V. K. Ivanov, I. V. Mel'nikova, “New generalized functions and weak well-posedness of operator problems”, Dokl. Akad. Nauk SSSR, 317:1 (1991),  22–26  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 315–319 4
29. M. A. Alshansky, I. V. Mel'nikova, A. Yu. Freiberg, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:6 (1991), 108–111  isi
1990
30. I. V. Mel'nikova, “Conditions for the solvability of abstract boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 10,  17–24  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:10 (1990), 19–27
31. I. V. Mel'nikova, A. I. Filinkov, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:6 (1990), 45–52
1989
32. V. K. Ivanov, I. V. Mel'nikova, “Construction of quasivalues for weakly well-posed problems”, Dokl. Akad. Nauk SSSR, 306:3 (1989),  530–535  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 514–518 2
1988
33. I. V. Mel'nikova, A. I. Filinkov, “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  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 647–651 1
34. V. K. Ivanov, I. V. Mel'nikova, “A general scheme for the elimination of divergences of different types”, Sibirsk. Mat. Zh., 29:6 (1988),  66–73  mathnet  mathscinet  zmath; Siberian Math. J., 29:6 (1988), 925–931  isi 1
1986
35. I. V. Mel'nikova, A. Yu. Freiberg, “Regularization of an ill-posed Cauchy problem for a second-order equation in a Banach space”, Differ. Uravn., 22:8 (1986),  1332–1338  mathnet  mathscinet  zmath 1
36. I. V. Mel'nikova, A. G. Kudryavtsev, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:8 (1986), 60–68
37. V. K. Ivanov, I. V. Mel'nikova, “Regularization of divergent integrals and regularization of ill-posed boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 4,  44–49  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:4 (1986), 56–63 1
1985
38. I. V. Mel'nikova, “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  mathnet  mathscinet  zmath 1
39. I. V. Mel'nikova, A. G. Kudryavtsev, “A boundary value problem for a first-order equation in a Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 3,  52–56  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:3 (1985), 66–72 1
40. I. V. Mel'nikova, “The family $M$, $N$ of operator functions and second-order equations in Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 2,  45–52  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:2 (1985), 55–63 2
41. I. V. Mel'nikova, A. Yu. Freiberg, “Regularization of a boundary value problem for an oscillation equation”, Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  783–789  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:3 (1985), 90–94 3
1984
42. I. V. Mel'nikova, A. I. Filinkov, “Classification and well-posedness of the Cauchy problem for second-order equations in Banach space”, Dokl. Akad. Nauk SSSR, 276:5 (1984),  1066–1071  mathnet  mathscinet  zmath
43. I. V. Mel'nikova, “Solution of an ill-posed Cauchy problem for a second-order operator-differential equation”, Differ. Uravn., 20:6 (1984),  1092–1095  mathnet  mathscinet  zmath
1983
44. I. V. Mel'nikova, “The Cauchy problem for a second-order equation”, Differ. Uravn., 19:3 (1983),  537–538  mathnet  mathscinet  zmath
1981
45. I. V. Mel'nikova, “Solution of an inverse Cauchy problem by the quasireversibility method”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 6,  36–38  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 25:6 (1981), 36–38 2
1980
46. I. V. Mel'nikova, “The connection between the Dirichlet and Cauchy problems”, Differ. Uravn., 16:2 (1980),  311–316  mathnet  mathscinet  zmath
1979
47. I. V. Mel'nikova, V. M. Mornova, “The Cauchy problem and the method of quasireversibility for second-order equations in a Banach space”, Differ. Uravn., 15:4 (1979),  614–618  mathnet  mathscinet  zmath
1977
48. I. V. Mel'nikova, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:6 (1977), 49–56
1974
49. I. V. Mel'nikova, “The solution of an equation of the first kind with a closed multivalued operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 4,  55–59  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:4 (1974), 45–48
1972
50. I. V. Mel'nikova, “Solution of Wiener–Hopf type equations in a space of distributions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 10,  53–58  mathnet  mathscinet  zmath
51. V. K. Ivanov, I. V. Mel'nikova, “The properties of the product of distributions of slow growth”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 5,  58–62  mathnet  mathscinet  zmath 1
1993
52. M. M. Lavrent'ev, N. N. Krasovskii, Yu. S. Osipov, A. N. Tikhonov, V. V. Vasin, K. N. Gur'yanova, I. V. Mel'nikova, “Valentin Konstantinovich Ivanov (obituary)”, Uspekhi Mat. Nauk, 48:5(293) (1993),  147–152  mathnet  mathscinet; Russian Math. Surveys, 48:5 (1993), 147–153  isi 4
1988
53. L. N. Shevrin, V. V. Vasin, I. V. Mel'nikova, V. P. Tanana, “Valentin Konstantinovich Ivanov (on the occasion of his eightieth birthday)”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10,  3–4  mathnet  mathscinet 1
1987
54. V. V. Belyaev, I. V. Mel'nikova, L. B. Livchak, Yu. N. Mukhin, Yu. A. Buevich, M. B. Vernikov, Yu. M. Vazhenin, “Meetings of the Ural Mathematical Society”, Uspekhi Mat. Nauk, 42:3(255) (1987),  233–236  mathnet 1

Presentations in Math-Net.Ru
1. Semigroups of operators associated to stochastic processes and their generators
V. A. Bovkun, I. V. Mel'nikova
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 10, 2023 15:00
2. Semigroup methods in regularization of ill-posed stochastic problems
I. V. Mel'nikova
One-Parameter Semigroups of Operators (OPSO 2023)
March 1, 2023 17:10   
3. Operator semigroups associated with stochastic processes within the framework of semigroup and Gelfand–Shilov classifications
I. V. Mel'nikova, U. A. Alekseeva, V. A. Bovkun
One-Parameter Semigroups of Operators (OPSO) 2021
April 8, 2021 12:50   

Organisations
 
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