Gorodets’kyĭ, V. V.; Shevchuk, N. M.; Kolisnyk, R. S. Multipoint by time problem for a class of evolution equations in \(S\)-type space. (Ukrainian. English summary) Zbl 07673175 Bukovyn. Mat. Zh. 10, No. 2, 90-110 (2022). MSC: 35S10 37L05 47J35 26A33 35K90 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} et al., Bukovyn. Mat. Zh. 10, No. 2, 90--110 (2022; Zbl 07673175) Full Text: DOI
Gorodets’kyĭ, V. V.; Martynyuk, O. V. Properties of the equation of heat conduction with dissipation solutions. (Ukrainian. English summary) Zbl 1524.30127 Bukovyn. Mat. Zh. 10, No. 2, 77-89 (2022). MSC: 30D15 30D35 30J10 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{O. V. Martynyuk}, Bukovyn. Mat. Zh. 10, No. 2, 77--89 (2022; Zbl 1524.30127) Full Text: DOI
Horodets’kyi, V. V.; Martynyuk, O. V.; Kolisnyk, R. S. On a nonlocal problem for the first-order differential-operator equations. (English) Zbl 1506.35003 Carpathian Math. Publ. 14, No. 2, 513-528 (2022). MSC: 35A08 35C10 47B39 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} et al., Carpathian Math. Publ. 14, No. 2, 513--528 (2022; Zbl 1506.35003) Full Text: DOI
Gorodets’kyĭ, V. V.; Martynyuk, O. V.; Kolisnyk, R. S. On a nonlocal problem for parabolic type equations. (Ukrainian. English summary) Zbl 1438.35224 Bukovyn. Mat. Zh. 7, No. 1, 14-31 (2019). MSC: 35K55 46T30 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} et al., Bukovyn. Mat. Zh. 7, No. 1, 14--31 (2019; Zbl 1438.35224) Full Text: Link
Horodets’kyi, V. V.; Martynyuk, O. V.; Petryshyn, R. I. Cauchy problem for evolutionary pseudodifferential equations with variable symbols. (English. Ukrainian original) Zbl 1342.35463 J. Math. Sci., New York 212, No. 3, 234-253 (2016); translation from Neliniĭni Kolyvannya 17, No. 3, 314-331 (2014). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 35S10 35S05 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} et al., J. Math. Sci., New York 212, No. 3, 234--253 (2016; Zbl 1342.35463); translation from Neliniĭni Kolyvannya 17, No. 3, 314--331 (2014) Full Text: DOI
Gorodets’kyĭ, V. V.; Martynyuk, O. V. Solvability of the Cauchy problem and two-point with respect time problem for evolution equations with the generalized Gel’fond-Leontiev differentiation operator. (Ukrainian. English summary) Zbl 1324.47130 Bukovyn. Mat. Zh. 2, No. 2-3, 41-58 (2014). MSC: 47J35 58J40 35S05 46E35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{O. V. Martynyuk}, Bukovyn. Mat. Zh. 2, No. 2--3, 41--58 (2014; Zbl 1324.47130)
Gorodets’kyj, V. V.; Martynyuk, O. V. The Cauchy problem and the two-point problem for evolution equations with operators of generalized differentiation. (Ukrainian. English summary) Zbl 1289.34038 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 3, 7-13 (2013). MSC: 34B05 46F99 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{O. V. Martynyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 3, 7--13 (2013; Zbl 1289.34038)
Gorodets’kyj, V. V.; Martynyuk, O. V.; Petryshyn, R. I. The Cauchy problem for a class of singular evolution equations. (Ukrainian. English summary) Zbl 1289.35187 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 1, 7-13 (2013). MSC: 35K67 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 1, 7--13 (2013; Zbl 1289.35187)
Martynyuk, O. V.; Gorodets’kyj, V. V. The Cauchy problem for singular evolution equations with coefficients unbounded in time. (Ukrainian. English summary) Zbl 1249.35183 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 2, 19-24 (2012). MSC: 35K67 PDFBibTeX XMLCite \textit{O. V. Martynyuk} and \textit{V. V. Gorodets'kyj}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 2, 19--24 (2012; Zbl 1249.35183) Full Text: DOI
Gorodets’kyj, V. V.; Drin’, I. I. The periodic Cauchy problem for evolution equations in Banach spaces. (Ukrainian. English summary) Zbl 1240.35598 Nauk. Visn. Chernivets’kogo Univ., Mat. 501, 14-19 (2010). MSC: 35S15 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{I. I. Drin'}, Nauk. Visn. Chernivets'kogo Univ., Mat. 501, 14--19 (2010; Zbl 1240.35598)
Gorodets’kyj, V. V.; Tupkalo, I. S. The Cauchy problem for singular evolution equations. (Ukrainian. English summary) Zbl 1224.35232 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 12, 14-19 (2010). MSC: 35K67 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{I. S. Tupkalo}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 12, 14--19 (2010; Zbl 1224.35232)
Gorodetskii, V. V.; Martynyuk, O. V. The Cauchy problem for evolution equations with the Bessel operator of infinite order. II. (English. Russian original) Zbl 1211.35296 Russ. Math. 54, No. 7, 26-36 (2010); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2010, No. 7, 31-42 (2010). MSC: 35R50 35K67 46F05 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{O. V. Martynyuk}, Russ. Math. 54, No. 7, 26--36 (2010; Zbl 1211.35296); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2010, No. 7, 31--42 (2010) Full Text: DOI
Gorodets’kyj, V. V.; Kolisnyk, R. S. Polynomial solution representation for evolution equations of parabolic type. (Ukrainian. English summary) Zbl 1164.35424 Nauk. Visn. Chernivets’kogo Univ., Mat. 421, 25-29 (2008). MSC: 35K90 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{R. S. Kolisnyk}, Nauk. Visn. Chernivets'kogo Univ., Mat. 421, 25--29 (2008; Zbl 1164.35424)
Gorodets’kyj, V. V.; Lenyuk, O. M. Evolutionary equations with pseudo-Bessel operators. (Ukrainian. English summary) Zbl 1144.47328 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 8, 11-15 (2007). MSC: 47J35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{O. M. Lenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 8, 11--15 (2007; Zbl 1144.47328)
Gorodets’kyj, V. V.; Ratushnyak, V. P. The Cauchy problem for parabolic equations with pseudodifferential infinite-order operators. (Ukrainian. English summary) Zbl 1125.47311 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 9, 12-16 (2006). MSC: 47G30 35S10 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{V. P. Ratushnyak}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 9, 12--16 (2006; Zbl 1125.47311)
Gorodets’kyj, V. V.; Kolisnyk, R. S. Differentiation operators of infinite order in \(C\) type spaces and their application. (Ukrainian. English summary) Zbl 1066.47043 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 10, 14-19 (2004). MSC: 47E05 46F10 35S05 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{R. S. Kolisnyk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 10, 14--19 (2004; Zbl 1066.47043)
Bodnaruk, S. B.; Gorodets’kyj, V. V.; Ratushnyak, V. P. Cauchy problem for a class of evolution equations of infinite order. (Ukrainian. English summary) Zbl 1122.35381 Nauk. Visn. Chernivets’kogo Univ., Mat. 191-192, 10-17 (2004). MSC: 35R20 PDFBibTeX XMLCite \textit{S. B. Bodnaruk} et al., Nauk. Visn. Chernivets'kogo Univ., Mat. 191--192, 10--17 (2004; Zbl 1122.35381)
Gorodets’kyj, V. V.; Drin’, S. S. The Cauchy problem for evolutionary singular equations of infinite order. (Ukrainian. English summary) Zbl 1039.35136 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 11, 12-17 (2003). MSC: 35R20 35R50 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{S. S. Drin'}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 11, 12--17 (2003; Zbl 1039.35136)
Gorodets’kyj, V. V.; Martynyuk, O. V. The Cauchy problem for evolution equations with differentiation and Bessel operators of the infinite order. (Ukrainian. English summary) Zbl 1037.47051 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 9, 18-24 (2002). MSC: 47N20 47J35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{O. V. Martynyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 9, 18--24 (2002; Zbl 1037.47051)
Gorodetskiĭ, V. V.; Litovchenko, V. A. On fractional differentiation in the space of generalized periodic functions. (Ukrainian) Zbl 1056.26500 Kraj. Zadachi Dyfer. Rivnyan’ 3, 43-47 (1998). Reviewer: Yu. I. Kaplun (Kyïv) MSC: 26A33 35S10 42A99 PDFBibTeX XMLCite \textit{V. V. Gorodetskiĭ} and \textit{V. A. Litovchenko}, Kraĭ. Zadachi Dyfer. Rivnyan' 3, 43--47 (1998; Zbl 1056.26500)
Gorodets’kyj, V. V.; Lenyuk, O. M. On fractional differentiation in spaces of the type \(S'\). (Ukrainian) Zbl 0932.35199 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 11, 20-24 (1998). MSC: 35R20 35S10 46F05 26A33 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{O. M. Lenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 11, 20--24 (1998; Zbl 0932.35199)
Gorodetskiĭ, V. V. On the representation of solutions of a differential-operator equation of hyperbolic type in polynomial form. (English. Russian original) Zbl 0786.34067 Sov. Math. 35, No. 11, 86-88 (1991). MSC: 34G10 47A50 33C45 PDFBibTeX XMLCite \textit{V. V. Gorodetskiĭ}, Sov. Math. 35, No. 11, 86--88 (1991; Zbl 0786.34067)
Gorodetskij, V. V. On the representation of solutions of operator-differential equations of hyperbolic type in polynomial form. (Russian) Zbl 0761.34046 Izv. Vyssh. Uchebn. Zaved., Mat. 1991, No. 11(354), 87-89 (1991). Reviewer: S.L.Edelstein (Rostov-na-Donu) MSC: 34G10 47A50 33C45 PDFBibTeX XMLCite \textit{V. V. Gorodetskij}, Izv. Vyssh. Uchebn. Zaved., Mat. 1991, No. 11(354), 87--89 (1991; Zbl 0761.34046)