Chvartatskyi, O.; Sydorenko, Yu. Additional reductions in the \(k\)-constrained modified KP hierarchy. (English) Zbl 1339.37050 J. Math. Sci., New York 212, No. 3, 349-369 (2016) and Neliniĭni Kolyvannya 17, No. 3, 419-436 (2014). MSC: 37K10 37K40 35Q53 PDFBibTeX XMLCite \textit{O. Chvartatskyi} and \textit{Yu. Sydorenko}, J. Math. Sci., New York 212, No. 3, 349--369 (2016; Zbl 1339.37050) Full Text: DOI
Chvartatskyi, Oleksandr; Sydorenko, Yuriy Darboux transformations for \((2+1)\)-dimensional extensions of the KP hierarchy. (English) Zbl 1319.35210 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 028, 20 p. (2015). MSC: 35Q51 35Q53 35Q55 37K35 37K10 PDFBibTeX XMLCite \textit{O. Chvartatskyi} and \textit{Y. Sydorenko}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 028, 20 p. (2015; Zbl 1319.35210) Full Text: DOI arXiv EMIS
Chvartatskyi, O. I.; Sydorenko, Yu. M. A new bidirectional generalization of \((2+1)\)-dimensional matrix \(k\)-constrained Kadomtsev-Petviashvili hierarchy. (English) Zbl 1298.37048 J. Math. Phys. 54, No. 11, 113508, 22 p. (2013). MSC: 37K10 PDFBibTeX XMLCite \textit{O. I. Chvartatskyi} and \textit{Yu. M. Sydorenko}, J. Math. Phys. 54, No. 11, 113508, 22 p. (2013; Zbl 1298.37048) Full Text: DOI arXiv
Chvartatskyi, O. I.; Sydorenko, Yu. M. A new (\(1 + 1\))-dimensional matrix \(k\)-constrained KP hierarchy. (English) Zbl 1304.37044 Mat. Stud. 39, No. 2, 164-177 (2013). MSC: 37K10 35Q51 35Q53 35Q55 PDFBibTeX XMLCite \textit{O. I. Chvartatskyi} and \textit{Yu. M. Sydorenko}, Mat. Stud. 39, No. 2, 164--177 (2013; Zbl 1304.37044) Full Text: arXiv
Sydorenko, Yu. M.; Chvartatskyi, O. I. Matrix generalizations of integrable systems with Lax integro-differential representations. (Ukrainian. English, Russian summaries) Zbl 1433.37066 Carpathian Math. Publ. 4, No. 1, 125-144 (2012). MSC: 37K10 37K15 PDFBibTeX XMLCite \textit{Yu. M. Sydorenko} and \textit{O. I. Chvartatskyi}, Carpathian Math. Publ. 4, No. 1, 125--144 (2012; Zbl 1433.37066) Full Text: arXiv
Sydorenko, Yurij; Chvartats’kyj, Oleksandr Factorization of integral operators and nonlinear integrable models. I. (Ukrainian. English summary) Zbl 1289.47038 Visn. L’viv. Univ., Ser. Mekh.-Mat. 77, 185-217 (2012). MSC: 47A68 47G10 45D05 45B05 PDFBibTeX XMLCite \textit{Y. Sydorenko} and \textit{O. Chvartats'kyj}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 77, 185--217 (2012; Zbl 1289.47038)
Sydorenko, Yurij; Chvartats’kyj, Oleksandr Projection method and Darboux-Crum-Matveev transformations. (Ukrainian. English summary) Zbl 1265.35317 Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 297-329 (2012). MSC: 35Q53 37K10 37K15 PDFBibTeX XMLCite \textit{Y. Sydorenko} and \textit{O. Chvartats'kyj}, Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 297--329 (2012; Zbl 1265.35317)
Sydorenko, Yuriy; Chvartats’kyj, Oleksandr Integration of scalar Kadomtsev-Petviashvili hierarchy by the method of integral Darboux-like transformations. (Ukrainian. English summary) Zbl 1265.35318 Visn. L’viv. Univ., Ser. Mekh.-Mat. 75, 181-225 (2011). MSC: 35Q53 35Q55 PDFBibTeX XMLCite \textit{Y. Sydorenko} and \textit{O. Chvartats'kyj}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 75, 181--225 (2011; Zbl 1265.35318)
Sydorenko, Yu.; Pochynajko, M.; Chvartats’kyj, O. The inverse scattering problem for the spatially two-dimensional Dirac system and method of binary transformations. (Ukrainian. English summary) Zbl 1289.35240 Visn. Derzh. Univ. L’viv. Politekh. 687, 29-58 (2010). MSC: 35P25 35R30 81U40 PDFBibTeX XMLCite \textit{Yu. Sydorenko} et al., Visn. Derzh. Univ. L'viv. Politekh. 687, 29--58 (2010; Zbl 1289.35240)
Sydorenko, Yurij; Chvartats’kyj, Oleksandr Transformation operators for hyperbolic systems of two equations. (Ukrainian. English summary) Zbl 1299.37057 Mat. Visn. Nauk. Tov. Im. Shevchenka 7, 289-316 (2010). Reviewer: Valeriy Samoylenko (Kyïv) MSC: 37K15 37K10 PDFBibTeX XMLCite \textit{Y. Sydorenko} and \textit{O. Chvartats'kyj}, Mat. Visn. Nauk. Tov. Im. Shevchenka 7, 289--316 (2010; Zbl 1299.37057)
Glibovets, M. M.; Sydorenko, M. O. Markov model of estimation of risky project cost. (Ukrainian. English summary) Zbl 1224.90092 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 4, 101-104 (2010). MSC: 90B50 PDFBibTeX XMLCite \textit{M. M. Glibovets} and \textit{M. O. Sydorenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 4, 101--104 (2010; Zbl 1224.90092)
Sydorenko, Yu.; Chvartats’kyj, O. Binary Darboux transformations for spatially two-dimensional integro-differential operators and Lax equations. (Ukrainian. English summary) Zbl 1224.37037 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 22, 32-35 (2009). MSC: 37K35 37K10 35Q53 PDFBibTeX XMLCite \textit{Yu. Sydorenko} and \textit{O. Chvartats'kyj}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 22, 32--35 (2009; Zbl 1224.37037)
Mytropol’s’kyj, Yu. O.; Samojlenko, V. G.; Sydorenko, Yu. M. A spatial two-dimensional generalization of the Kadomtsev-Petviashvili hierarchy under nonlocal constraints. (Ukrainian. English summary) Zbl 0949.35028 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 9, 19-23 (1999). Reviewer: I.O.Parasyuk (Kyïv) MSC: 35C05 35Q58 PDFBibTeX XMLCite \textit{Yu. O. Mytropol's'kyj} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 9, 19--23 (1999; Zbl 0949.35028)
Bosov, A. A.; Sydorenko, A. O. Mathematical model of investment in bonds. (Ukrainian. English summary) Zbl 0958.91022 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1998, No. 1, 138-141 (1998). Reviewer: A.D.Borisenko (Kyïv) MSC: 91B28 PDFBibTeX XMLCite \textit{A. A. Bosov} and \textit{A. O. Sydorenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1998, No. 1, 138--141 (1998; Zbl 0958.91022)
Sydorenko, O. O. On the distribution of supremum of a certain class of pre-Gaussian stochastic processes on a compact set in \(\mathbf R^ d\). (English. Ukrainian original) Zbl 0861.60047 Theory Probab. Math. Stat. 50, 123-128 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 119-124 (1994). MSC: 60G15 62E17 62F03 PDFBibTeX XMLCite \textit{O. O. Sydorenko}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0861.60047); translation from Teor. Jmovirn. Mat. Stat. 50, 119--124 (1994)