Makhno, Sergei Ya.; Mel’nik, Sergei A. Stochastic differential equation in a random environment. (English. Russian original) Zbl 1391.60142 J. Math. Sci., New York 231, No. 1, 48-69 (2018); translation from Ukr. Mat. Visn. 14, No. 3, 370-398 (2017). MSC: 60H10 60K37 PDFBibTeX XMLCite \textit{S. Ya. Makhno} and \textit{S. A. Mel'nik}, J. Math. Sci., New York 231, No. 1, 48--69 (2018; Zbl 1391.60142); translation from Ukr. Mat. Visn. 14, No. 3, 370--398 (2017) Full Text: DOI
Mel’nik, S. A. Triviality of totally conservative solutions of a stochastic partial differential equation with power-law nonlinearities. (English. Russian original) Zbl 1296.60169 Differ. Equ. 49, No. 10, 1290-1298 (2013); translation from Differ. Uravn. 49, No. 10, 1323-1331 (2013). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{S. A. Mel'nik}, Differ. Equ. 49, No. 10, 1290--1298 (2013; Zbl 1296.60169); translation from Differ. Uravn. 49, No. 10, 1323--1331 (2013) Full Text: DOI
Mel’nik, S. A. Fibering of solutions of Itô stochastic equations of the parabolic type with power-law nonlinearities. (English. Russian original) Zbl 1149.60043 Differ. Equ. 43, No. 10, 1434-1444 (2007); translation from Differ. Uravn. 43, No. 10, 1400-1409 (2007). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35K55 35C05 PDFBibTeX XMLCite \textit{S. A. Mel'nik}, Differ. Equ. 43, No. 10, 1434--1444 (2007; Zbl 1149.60043); translation from Differ. Uravn. 43, No. 10, 1400--1409 (2007) Full Text: DOI
Mel’nik, S. A. \(\epsilon\)-optimal control of the solution of the evolution equation in a Banach space. (English) Zbl 0556.49011 Ukr. Math. J. 36, 167-170 (1984). MSC: 49J55 60H15 93E20 35R60 49K45 46B99 PDFBibTeX XMLCite \textit{S. A. Mel'nik}, Ukr. Math. J. 36, 167--170 (1984; Zbl 0556.49011) Full Text: DOI