Melnikova, I. V.; Alekseeva, U. A. Semigroup classification and Gelfand-Shilov classification of systems of partial differential equations. (English. Russian original) Zbl 1516.35198 Math. Notes 104, No. 6, 886-899 (2018); translation from Mat. Zametki 104, No. 6, 895-911 (2018). MSC: 35G10 42B10 47D06 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{U. A. Alekseeva}, Math. Notes 104, No. 6, 886--899 (2018; Zbl 1516.35198); translation from Mat. Zametki 104, No. 6, 895--911 (2018) Full Text: DOI
Melnikova, I. V.; Alshanskiy, M. A. Stochastic equations with an unbounded operator coefficient and multiplicative noise. (English. Russian original) Zbl 1401.60129 Sib. Math. J. 58, No. 6, 1052-1066 (2017); translation from Sib. Mat. Zh. 58, No. 6, 1354-1371 (2017). Reviewer: Melvin D. Lax (Long Beach) MSC: 60H25 47B80 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{M. A. Alshanskiy}, Sib. Math. J. 58, No. 6, 1052--1066 (2017; Zbl 1401.60129); translation from Sib. Mat. Zh. 58, No. 6, 1354--1371 (2017) Full Text: DOI
Melnikova, Irina V.; Starkova, Olga Infinite dimensional stochastic Cauchy problems in Ito and differential forms: comparison of solutions. (English) Zbl 1339.47058 Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 855-863 (2015). Reviewer: Heinrich Hering (Rockenberg) MSC: 47D06 47D60 47D62 60G15 60G20 60H10 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{O. Starkova}, in: Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5--9, 2013. Cham: Birkhäuser/Springer. 855--863 (2015; Zbl 1339.47058) Full Text: DOI
Mel’nikova, I. V.; Starkova, O. S. Connection between weak and generalized solutions to infinite-dimensional stochastic problems. (English. Russian original) Zbl 1317.60079 Russ. Math. 58, No. 5, 8-20 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 5, 12-27 (2014). MSC: 60H15 47D60 60H40 PDFBibTeX XMLCite \textit{I. V. Mel'nikova} and \textit{O. S. Starkova}, Russ. Math. 58, No. 5, 8--20 (2014; Zbl 1317.60079); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 5, 12--27 (2014) Full Text: DOI
Melnikova, I. V.; Alshanskiy, M. A. The generalized well-posedness of the Cauchy problem for an abstract stochastic equation with multiplicative noise. (English. Russian original) Zbl 1290.60062 Proc. Steklov Inst. Math. 280, Suppl. 1, S134-S150 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 1, 251-267 (2012). MSC: 60H10 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{M. A. Alshanskiy}, Proc. Steklov Inst. Math. 280, S134--S150 (2013; Zbl 1290.60062); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 1, 251--267 (2012) Full Text: DOI
Melnikova, I. V. Generalized solutions of differential-operator equations with singular white noise. (English. Russian original) Zbl 1279.60073 Differ. Equ. 49, No. 4, 475-486 (2013); translation from Differ. Uravn. 49, No. 4, 494-505 (2013). Reviewer: Fábio José Bertoloto (Uberlândia) MSC: 60H10 47D06 PDFBibTeX XMLCite \textit{I. V. Melnikova}, Differ. Equ. 49, No. 4, 475--486 (2013; Zbl 1279.60073); translation from Differ. Uravn. 49, No. 4, 494--505 (2013) Full Text: DOI
Melnikova, I. V.; Alekseeva, U. A. Solution of an abstract Cauchy problem with nonlinear and random perturbations in the Colombeau algebra. (English. Russian original) Zbl 1295.46029 Dokl. Math. 87, No. 2, 193-197 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 4, 393-397 (2013). Reviewer: Rainer Buckdahn (Brest) MSC: 46F30 60H10 47D06 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{U. A. Alekseeva}, Dokl. Math. 87, No. 2, 193--197 (2013; Zbl 1295.46029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 4, 393--397 (2013) Full Text: DOI
Melnikova, Irina V.; Alekseeva, Uljana A. Quasilinear stochastic Cauchy problem in abstract Colombeau spaces. (English) Zbl 1259.60059 Int. J. Math. Math. Sci. 2012, Article ID 509026, 11 p. (2012). MSC: 60H10 47D06 60J35 60F15 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{U. A. Alekseeva}, Int. J. Math. Math. Sci. 2012, Article ID 509026, 11 p. (2012; Zbl 1259.60059) Full Text: DOI
Melnikova, I. V.; Alshanskiy, M. A. S-transform and Hermite transform of Hilbert space-valued stochastic distributions with applications to stochastic differential equations. (English) Zbl 1238.46033 Integral Transforms Spec. Funct. 22, No. 4-5, 293-301 (2011). MSC: 46F12 33C45 60H40 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{M. A. Alshanskiy}, Integral Transforms Spec. Funct. 22, No. 4--5, 293--301 (2011; Zbl 1238.46033) Full Text: DOI
Melnikova, I. V. Regularization of stochastic problems with respect to variables of different kinds. (English. Russian original) Zbl 1188.47010 Dokl. Math. 79, No. 3, 408-411 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 5, 597-601 (2009). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 47A52 60H25 34F05 34K30 93E03 34G10 PDFBibTeX XMLCite \textit{I. V. Melnikova}, Dokl. Math. 79, No. 3, 408--411 (2009; Zbl 1188.47010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 5, 597--601 (2009) Full Text: DOI
Melnikova, Irina V.; Filinkov, Alexei Generalized solutions to abstract stochastic problems. (English) Zbl 1159.60330 Integral Transforms Spec. Funct. 20, No. 3-4, 199-206 (2009). MSC: 60H10 34F05 34G10 46F10 47D62 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{A. Filinkov}, Integral Transforms Spec. Funct. 20, No. 3--4, 199--206 (2009; Zbl 1159.60330) Full Text: DOI
Mel’nikova, I. V. Well-posedness of the Cauchy problem for an inclusion. (English. Russian original) Zbl 1080.34046 Differ. Equ. 40, No. 10, 1512-1516 (2004); translation from Differ. Uravn. 40, No. 10, 1430-1433 (2004). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34G25 PDFBibTeX XMLCite \textit{I. V. Mel'nikova}, Differ. Equ. 40, No. 10, 1512--1516 (2004; Zbl 1080.34046); translation from Differ. Uravn. 40, No. 10, 1430--1433 (2004) Full Text: DOI
Melnikova, I.; Anufrieva, U.; Filinkov, A. Laplace transform of \(K\)-semigroups and well-posedness of Cauchy problems. (English) Zbl 1011.34048 Integral Transforms Spec. Funct. 9, No. 1, 37-56 (2000). MSC: 34G10 46F25 34A12 47D03 47D06 PDFBibTeX XMLCite \textit{I. Melnikova} et al., Integral Transforms Spec. Funct. 9, No. 1, 37--56 (2000; Zbl 1011.34048) Full Text: DOI