Horodets’kyi, V. V.; Kolisnyk, R. S.; Shevchuk, N. M. Multipoint (in time) problem for singular parabolic equations in spaces of type \(S\). (English. Ukrainian original) Zbl 07800751 J. Math. Sci., New York 277, No. 2, 201-239 (2023); translation from Neliniĭni Kolyvannya 25, No. 4, 291-324 (2022). MSC: 35A01 35A08 35K15 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} et al., J. Math. Sci., New York 277, No. 2, 201--239 (2023; Zbl 07800751); translation from Neliniĭni Kolyvannya 25, No. 4, 291--324 (2022) Full Text: DOI
Horodets’kyi, V. V.; Martynyuk, O. V. Evolution pseudodifferential equations with analytic symbols in spaces of \(S\) type. (English) Zbl 1471.35352 Carpathian Math. Publ. 13, No. 1, 160-179 (2021). MSC: 35S10 46F05 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} and \textit{O. V. Martynyuk}, Carpathian Math. Publ. 13, No. 1, 160--179 (2021; Zbl 1471.35352) Full Text: DOI
Horodets’kyi, V. V.; Martynyuk, O. V.; Petryshyn, R. I. Nonlocal multipoint (in time) problem for evolutionary pseudodifferential equations with analytic symbols in the spaces of type \(W\). (English) Zbl 1503.35292 Ukr. Math. J. 71, No. 9, 1379-1401 (2020) and Ukr. Mat. Zh. 71, No. 9, 1208-1226 (2019). MSC: 35R50 35S10 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} et al., Ukr. Math. J. 71, No. 9, 1379--1401 (2020; Zbl 1503.35292) Full Text: DOI
Horodets’kyi, V. V.; Martynyuk, O. V.; Petryshyn, R. I. On the generalized Cauchy problem for one class of differential equations of infinite order. (English. Ukrainian original) Zbl 1473.35669 Ukr. Math. J. 72, No. 7, 1030-1050 (2020); translation from Ukr. Mat. Zh. 72, No. 7, 886-902 (2020). MSC: 35R50 35S10 46F05 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} et al., Ukr. Math. J. 72, No. 7, 1030--1050 (2020; Zbl 1473.35669); translation from Ukr. Mat. Zh. 72, No. 7, 886--902 (2020) Full Text: DOI
Verezhak, Hanna; Gorodetskyi, Vasyl A nonlocal in time problem for evolutionary singular equations in generalized spaces of type \(\mathring{S}\). (English) Zbl 1451.35269 J. Funct. Spaces 2020, Article ID 6873414, 15 p. (2020). MSC: 35S10 35K67 46F10 46F05 PDFBibTeX XMLCite \textit{H. Verezhak} and \textit{V. Gorodetskyi}, J. Funct. Spaces 2020, Article ID 6873414, 15 p. (2020; Zbl 1451.35269) Full Text: DOI
Verezhak, H. P.; Horodets’kyi, V. V. Stabilization of solutions of a nonlocal problem multipoint in time for one class of evolutionary pseudodifferential equations. (English. Ukrainian original) Zbl 1414.35034 J. Math. Sci., New York 236, No. 3, 238-264 (2019); translation from Neliniĭni Kolyvannya 20, No. 3, 303-327 (2017). MSC: 35B40 35S11 35R50 PDFBibTeX XMLCite \textit{H. P. Verezhak} and \textit{V. V. Horodets'kyi}, J. Math. Sci., New York 236, No. 3, 238--264 (2019; Zbl 1414.35034); translation from Neliniĭni Kolyvannya 20, No. 3, 303--327 (2017) Full Text: DOI
Gorodetskii, V. V.; Petrishin, R. I.; Verezhak, A. P. A multipoint (in time) problem for one class of pseudodifferential evolutionary equations. (English. Russian original) Zbl 1499.35703 Ukr. Math. J. 70, No. 3, 385-409 (2018); translation from Ukr. Mat. Zh. 70, No. 3, 337-355 (2018). MSC: 35R15 35A08 35B30 35B40 35S10 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} et al., Ukr. Math. J. 70, No. 3, 385--409 (2018; Zbl 1499.35703); translation from Ukr. Mat. Zh. 70, No. 3, 337--355 (2018) Full Text: DOI
Gorodets’kyĭ, V. V.; Verezhak, G. P. The nonlocal by time problem for evolutionary singular equations of infinite order. (Ukrainian. English summary) Zbl 1413.34089 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 8, 3-11 (2018). MSC: 34B10 34A35 46F05 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{G. P. Verezhak}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 8, 3--11 (2018; Zbl 1413.34089) Full Text: DOI
Horodets’kyi, V. V.; Petryshyn, R. I.; Todoriko, T. S. Nonlocal problem multipoint in time for a class of partial differential equations of infinite order. (English. Ukrainian original) Zbl 1349.35438 J. Math. Sci., New York 217, No. 4, 399-417 (2016); translation from Neliniĭni Kolyvannya 18, No. 2, 176-191 (2015). MSC: 35R50 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} et al., J. Math. Sci., New York 217, No. 4, 399--417 (2016; Zbl 1349.35438); translation from Neliniĭni Kolyvannya 18, No. 2, 176--191 (2015) Full Text: DOI
Gorodetskii, V. V.; Tupkalo, I. S. Cauchy problem for evolution equations with infinite-order Bessel operators. (English. Russian original) Zbl 1228.35277 Differ. Equ. 47, No. 3, 333-345 (2011); translation from Differ. Uravn. 47, No. 3, 333-345 (2011). MSC: 35R50 35S10 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{I. S. Tupkalo}, Differ. Equ. 47, No. 3, 333--345 (2011; Zbl 1228.35277); translation from Differ. Uravn. 47, No. 3, 333--345 (2011) Full Text: DOI
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
Gorodetskii, V. V.; Martynyuk, O. V. The Cauchy problem for evolution equations with the Bessel operator of infinite order. I. (English. Russian original) Zbl 1208.35182 Russ. Math. 54, No. 6, 1-12 (2010); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2010, No. 6, 3-15 (2010). Reviewer: Boris Rubin (Baton Rouge) MSC: 35R50 35K67 46F05 47D06 47B33 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{O. V. Martynyuk}, Russ. Math. 54, No. 6, 1--12 (2010; Zbl 1208.35182); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2010, No. 6, 3--15 (2010) Full Text: DOI
Gorodetskii, V. V.; Mironik, V. I. Two-point problem for a class of evolution equations. I. (English. Russian original) Zbl 1196.35019 Differ. Equ. 46, No. 3, 352-366 (2010); translation from Differ. Uravn. 46, No. 3, 349-363 (2010). MSC: 35A08 35S11 35R09 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{V. I. Mironik}, Differ. Equ. 46, No. 3, 352--366 (2010; Zbl 1196.35019); translation from Differ. Uravn. 46, No. 3, 349--363 (2010) Full Text: DOI
Gorodetskii, V. V.; Shevchuk, N. M. Evolution equations with Gel’fond–Leont’ev generalized differentiation operators. II. (English. Russian original) Zbl 1173.35410 Differ. Equ. 44, No. 6, 807-816 (2008); translation from Differ. Uravn. 44, No. 6, 785-794 (2008). MSC: 35G10 47N20 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{N. M. Shevchuk}, Differ. Equ. 44, No. 6, 807--816 (2008; Zbl 1173.35410); translation from Differ. Uravn. 44, No. 6, 785--794 (2008) Full Text: DOI
Gorodetskii, V. V.; Kolisnyk, R. S. Cauchy problem for evolution equations with an infinite-order differential operator. II. (English. Russian original) Zbl 1196.35233 Differ. Equ. 43, No. 9, 1181-1193 (2007); translation from Differ. Uravn. 43, No. 9, 1155-1167 (2007). MSC: 35R50 35S05 35A24 35A08 35B65 46E10 47N20 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{R. S. Kolisnyk}, Differ. Equ. 43, No. 9, 1181--1193 (2007; Zbl 1196.35233); translation from Differ. Uravn. 43, No. 9, 1155--1167 (2007) Full Text: DOI
Gorodetskii, V. V.; Kolisnyk, R. S. Cauchy problem for evolution equations with an infinite-order differentiation operator. I. (English. Russian original) Zbl 1181.35352 Differ. Equ. 43, No. 8, 1111-1122 (2007); translation from Differ. Uravn. 43, No. 8, 1086-1096 (2007). MSC: 35R50 46E10 47N20 35A22 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{R. S. Kolisnyk}, Differ. Equ. 43, No. 8, 1111--1122 (2007; Zbl 1181.35352); translation from Differ. Uravn. 43, No. 8, 1086--1096 (2007) Full Text: DOI
Gorodets’kyj, V. V.; Ratushnyak, V. P. On one class of pseudodifferential operators of infinite order. (Ukrainian. English summary) Zbl 1096.47523 Nauk. Visn. Chernivets’kogo Univ., Mat. 239, 25-36 (2005). MSC: 47G30 58J40 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{V. P. Ratushnyak}, Nauk. Visn. Chernivets'kogo Univ., Mat. 239, 25--36 (2005; Zbl 1096.47523)
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. Bessel operators of infinite order and their applications. (Ukrainian. English summary) Zbl 1037.47050 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 6, 7-12 (2003). MSC: 47N20 47B38 47A60 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{O. V. Martynyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 6, 7--12 (2003; Zbl 1037.47050)
Gorodets’kyj, V. V.; Martynyuk, O. V.; Shevchuk, N. M. Bessel operators of infinite order. (Ukrainian) Zbl 0986.47026 Kraj. Zadachi Dyfer. Rivnyan’ 7, 61-70 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 47B38 47A60 37F10 46E10 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} et al., Kraĭ. Zadachi Dyfer. Rivnyan' 7, 61--70 (2001; Zbl 0986.47026)
Gorodets’kyj, V. V.; Lenyuk, O. M. Cauchy problem for evolutionary equations with differentiation operator of infinite order. (Ukrainian. English summary) Zbl 0974.35535 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 65-70 (2000). MSC: 35R50 46N20 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{O. M. Lenyuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 65--70 (2000; Zbl 0974.35535)
Gorodetskiĭ, V. V.; Drin’, I. I. Smooth solutions of a class of parabolic equations with unbounded growing coefficients. II. (English. Russian original) Zbl 0954.35096 Differ. Equations 34, No. 11, 1528-1536 (1998); translation from Differ. Uravn. 34, No. 11, 1527-1535 (1998). MSC: 35K65 35B65 42B10 PDFBibTeX XMLCite \textit{V. V. Gorodetskiĭ} and \textit{I. I. Drin'}, Differ. Equations 34, No. 11, 1528--1536 (1998; Zbl 0954.35096); translation from Differ. Uravn. 34, No. 11, 1527--1535 (1998)
Gorodetskij, V. V. Localization principle for solutions of the Cauchy problem for parabolic systems in the class of generalized functions of infinite order. (Russian) Zbl 0609.35046 Differ. Uravn. 21, No. 6, 1077-1079 (1985). Reviewer: P.Polacik MSC: 35K30 35E15 35B05 PDFBibTeX XMLCite \textit{V. V. Gorodetskij}, Differ. Uravn. 21, No. 6, 1077--1079 (1985; Zbl 0609.35046)
Gorodetskij, V. V. Stabilization of the solutions of the Cauchy problem for the Petrov parabolic systems in classes of the infinite order generalized functions. (Russian) Zbl 0584.35057 Direct and inverse problems of the spectral theory of differential operators, Collect. sci. Works, Kiev 1985, 23-31 (1985). Reviewer: O.Dumbrajs MSC: 35K40 35D05 35B35 PDFBibTeX XML