Gorodnii, M. F.; Gonchar, I. V. Bounded in the mean of order \(p\) solutions of a difference equation with a jump of the operator coefficient. (English. Ukrainian original) Zbl 1458.39016 Theory Probab. Math. Stat. 101, 103-108 (2020); translation from Teor. Jmovirn. Mat. Stat. 101, 93-97 (2019). MSC: 39A70 47B39 PDFBibTeX XMLCite \textit{M. F. Gorodnii} and \textit{I. V. Gonchar}, Theory Probab. Math. Stat. 101, 103--108 (2020; Zbl 1458.39016); translation from Teor. Jmovirn. Mat. Stat. 101, 93--97 (2019) Full Text: DOI
Gorodnii, M. F.; Kravets’, V. P. On bounded solutions of one difference equation of the second order. (English. Russian original) Zbl 1448.39014 J. Math. Sci., New York 249, No. 4, 601-608 (2020); translation from Neliniĭni Kolyvannya 22, No. 2, 196-201 (2019). MSC: 39A22 39A06 PDFBibTeX XMLCite \textit{M. F. Gorodnii} and \textit{V. P. Kravets'}, J. Math. Sci., New York 249, No. 4, 601--608 (2020; Zbl 1448.39014); translation from Neliniĭni Kolyvannya 22, No. 2, 196--201 (2019) Full Text: DOI
Gorodniĭ, M. F.; Kravets’, V. P. The bounded solutions of a second order difference equation with a jump of the operator coefficient. (Ukrainian. English summary) Zbl 1424.39028 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2019, No. 2, 12-16 (2019). MSC: 39A22 39A06 PDFBibTeX XMLCite \textit{M. F. Gorodniĭ} and \textit{V. P. Kravets'}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2019, No. 2, 12--16 (2019; Zbl 1424.39028) Full Text: DOI
Gorodniĭ, M. F.; Gonchar, I. V. On the bounded solutions of a difference equation with variable operator coefficient. (Ukrainian. English summary) Zbl 1374.39002 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2016, No. 12, 12-16 (2016). MSC: 39A05 PDFBibTeX XMLCite \textit{M. F. Gorodniĭ} and \textit{I. V. Gonchar}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2016, No. 12, 12--16 (2016; Zbl 1374.39002) Full Text: DOI
Gorodnij, M. F.; Lukash, K. V. On the properties of solutions of a two-parameter discrete Volterra system. (Ukrainian. English summary) Zbl 1199.39043 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 7-10 (2010). MSC: 39A50 PDFBibTeX XMLCite \textit{M. F. Gorodnij} and \textit{K. V. Lukash}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 7--10 (2010; Zbl 1199.39043)
Gorodnij, M. F.; Yushchenko, G. Yu. On \(l_p\)-solutions of a difference equation with operator coefficients. (Ukrainian. English summary) Zbl 1164.39301 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 8, 14-16 (2008). MSC: 39A10 PDFBibTeX XMLCite \textit{M. F. Gorodnij} and \textit{G. Yu. Yushchenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 8, 14--16 (2008; Zbl 1164.39301)
Gorodnij, M. F. Stationary in wide sense solutions of difference equations in the Banach space. (Ukrainian, English) Zbl 1150.60014 Teor. Jmovirn. Mat. Stat. 74, 27-33 (2006); translation in Theory Probab. Math. Stat. 74, 29-35 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60G10 39A10 47A50 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Teor. Ĭmovirn. Mat. Stat. 74, 27--33 (2006; Zbl 1150.60014); translation in Theory Probab. Math. Stat. 74, 29--35 (2007) Full Text: Link
Gorodnij, M. F. Boundedness of solutions to some Volterra systems in a finite dimensional space. (Ukrainian) Zbl 1075.39004 Nelinijni Kolyvannya 6, No. 1, 34-41 (2003). Reviewer: L. N. Chernetskaja (Kyïv) MSC: 39A11 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Neliniĭni Kolyvannya 6, No. 1, 34--41 (2003; Zbl 1075.39004)
Gomilko, A. M.; Gorodnij, M. F.; Lagoda, O. A. On the boundedness of a recurrence sequence in a Banach space. (English. Russian original) Zbl 1096.47036 Ukr. Math. J. 55, No. 10, 1699-1708 (2003); translation from Ukr. Mat. Zh. 55, No. 10, 1410-1418 (2003). Reviewer: A. N. Kochubei (Kyïv) MSC: 47B39 39A05 PDFBibTeX XMLCite \textit{A. M. Gomilko} et al., Ukr. Mat. Zh. 55, No. 10, 1410--1418 (2003; Zbl 1096.47036); translation from Ukr. Mat. Zh. 55, No. 10, 1410--1418 (2003) Full Text: DOI
Gorodnij, M. F. \(l_p\)-Solutions of difference equations in Banach spaces. (Ukrainian, English) Zbl 1018.47025 Ukr. Mat. Zh. 55, No. 3, 425-430 (2003); translation in Ukr. Math. J. 55, No. 3, 512-519 (2003). Reviewer: I.O.Parasyuk (Kyïv) MSC: 47B39 39A70 39A10 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Ukr. Mat. Zh. 55, No. 3, 425--430 (2003; Zbl 1018.47025); translation in Ukr. Math. J. 55, No. 3, 512--519 (2003)
Gorodnij, M. F. Bounded solutions of nonlinear Volterra system. (Ukrainian) Zbl 1098.39501 Nelinijni Kolyvannya 5, No. 2, 149-155 (2002). Reviewer: V. M. Musaev (Baku) MSC: 39A10 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Neliniĭni Kolyvannya 5, No. 2, 149--155 (2002; Zbl 1098.39501)
Gorodnij, M. F. Existence of \(l_p\) solutions for a nonlinear difference equation. (Ukrainian. English summary) Zbl 1025.39008 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 7, 19-22 (2002). Reviewer: I.O.Parasyuk (Kyïv) MSC: 39A11 47B39 39A70 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 7, 19--22 (2002; Zbl 1025.39008)
Horodnii, M. F.; Lahoda, O. A. Bounded solutions to some classes of difference equations with operator coefficients. (English. Ukrainian original) Zbl 1007.39009 Ukr. Math. J. 53, No. 11, 1817-1824 (2001); translation from Ukr. Mat. Zh. 53, No. 11, 1495-1500 (2001). Reviewer: I.O.Parasyuk (Kyïv) MSC: 39A11 47B39 39A70 PDFBibTeX XMLCite \textit{M. F. Horodnii} and \textit{O. A. Lahoda}, Ukr. Mat. Zh. 53, No. 11, 1495--1500 (2001; Zbl 1007.39009); translation from Ukr. Mat. Zh. 53, No. 11, 1495--1500 (2001) Full Text: DOI
Gorodnij, M. F.; Lagoda, O. A. On bounded solutions of some classes of two-parameter difference equations in a Banach space. (English. Ukrainian original) Zbl 0974.39002 Ukr. Math. J. 52, No. 12, 1834-1840 (2000); translation from Ukr. Mat. Zh. 52, No. 12, 1610-1614 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 39A10 PDFBibTeX XMLCite \textit{M. F. Gorodnij} and \textit{O. A. Lagoda}, Ukr. Mat. Zh. 52, No. 12, 1610--1614 (2000; Zbl 0974.39002); translation from Ukr. Mat. Zh. 52, No. 12, 1610--1614 (2000)
Gorodniĭ, M. F.; Romanenko, V. N. Approximation of a bounded solution of one difference equation with unbounded operator coefficient by solutions of the corresponding boundary-value problems. (English. Ukrainian original) Zbl 1063.39006 Ukr. Math. J. 52, No. 4, 628-632 (2000); translation from Ukr. Mat. Zh. 52, No. 4, 548-552 (2000). Reviewer: I. O. Parasyuk (Kyïv) MSC: 39A11 47N20 39A70 PDFBibTeX XMLCite \textit{M. F. Gorodniĭ} and \textit{V. N. Romanenko}, Ukr. Mat. Zh. 52, No. 4, 548--552 (2000; Zbl 1063.39006); translation from Ukr. Mat. Zh. 52, No. 4, 548--552 (2000) Full Text: DOI
Gorodnij, M. F.; Lagoda, O. A. Boundedness of solutions of two-parameter difference equation in Banach space. (Ukrainian. English summary) Zbl 0982.39010 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 94-98 (1999). MSC: 39A70 PDFBibTeX XMLCite \textit{M. F. Gorodnij} and \textit{O. A. Lagoda}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 94--98 (1999; Zbl 0982.39010)
Gorodnij, M. F. Bounded and periodic solutions to linear difference equation in Banach space. (Ukrainian) Zbl 0930.39003 Dorogovtsev, A. Ya. (ed.), Mathematics today. 1993. No. 8. Kyïv: Vyshcha Shkola, 114-132 (1993). Reviewer: N.A.Denis’evskij (Kyïv) MSC: 39A10 47A50 39A11 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, in: Matematyka s'ogodni. 1993. Vyp. 8. Kyïv: Vyshcha Shkola. 114--132 (1993; Zbl 0930.39003)
Gorodnij, M. F. Approximation of a bounded solution of a difference equation by solutions of corresponding boundary problems in Banach space. (English. Russian original) Zbl 0802.39004 Math. Notes 51, No. 4, 338-341 (1992); translation from Mat. Zametki 51, No. 4, 17-22 (1992). Reviewer: S.Balint (Timişoara) MSC: 39A10 47A50 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Math. Notes 51, No. 4, 1 (1992; Zbl 0802.39004); translation from Mat. Zametki 51, No. 4, 17--22 (1992)
Gorodnij, M. F. Bounded and periodic solutions of a difference equation and its stochastic analogue in Banach space. (English. Russian original) Zbl 0735.47007 Ukr. Math. J. 43, No. 1, 32-37 (1991); translation from Ukr. Mat. Zh. 43, No. 1, 41-46 (1991). Reviewer: M.F.Gorodnij (Kiev) MSC: 47A50 60G10 39A10 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Ukr. Math. J. 43, No. 1, 32--37 (1991; Zbl 0735.47007); translation from Ukr. Mat. Zh. 43, No. 1, 41--46 (1991) Full Text: DOI
Gorodnij, M. F. On the limit behavior of solutions of a certain stochastic difference equation in Hilbert space. (English. Russian original) Zbl 0666.60060 Sov. Math., Dokl. 38, No. 1, 6-8 (1989); translation from Dokl. Akad. Nauk SSSR 301, No. 1, 15-18 (1988). Reviewer: R.Curtain MSC: 60H99 60G60 39A10 60F05 PDFBibTeX XMLCite \textit{M. F. Gorodnij}, Sov. Math., Dokl. 38, No. 1, 6--8 (1989; Zbl 0666.60060); translation from Dokl. Akad. Nauk SSSR 301, No. 1, 15--18 (1988)