I. V. Melnikova, M. A. Alshanskiy, “Stochastic equations with an unbounded operator coefficient and multiplicative noise”, Sibirsk. Mat. Zh., 58:6 (2017), 1354–1371; Siberian Math. J., 58:6 (2017), 1052–1066
I. V. Melnikova, M. A. Alshanskiy, “White noise calculus in applications to stochastic equations in Hilbert spaces”, CMFD, 53 (2014), 30–63; Journal of Mathematical Sciences, 218:4 (2016), 395–429
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; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 134–150
M. A. Alshanskii, “Gaussian white noise with trajectories in the space $\mathcal S'(H)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 3–11; Russian Math. (Iz. VUZ), 55:5 (2011), 1–7
M. A. Alshanskiy, I. V. Mel'nikova, “Regularized and generalized solutions of infinite-dimensional stochastic problems”, Mat. Sb., 202:11 (2011), 3–30; Sb. Math., 202:11 (2011), 1565–1592
M. A. Alshansky, “Задача Коши для стохастического уравнения в гильбертовом пространстве с операторным коэффициентом, порождающим R-полугруппу”, Matem. Mod. Kraev. Zadachi, 3 (2009), 22–25
2006
10.
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; J. Math. Sci. (N. Y.), 116:5 (2003), 3620–3656
M. A. Alshansky, “A model of a Hilbert space-valued white noise”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 2, 10–18; Russian Math. (Iz. VUZ), 48:2 (2004), 8–15
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
13.
M. A. Alshanskiy, “Вырожденные интегрированные полугруппы и $n$-$w$-корректность задачи Коши для уравнения Соболева”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4, 30–36
1995
14.
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
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; Dokl. Math., 49:3 (1994), 449–453
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; U.S.S.R. Comput. Math. Math. Phys., 31:6 (1991), 108–111