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.; Kolisnyk, R. S.; Martynyuk, O. V. The non-local time problem for one class of pseudodifferential equations with smooth symbols. (Ukrainian. English summary) Zbl 1488.35661 Bukovyn. Mat. Zh. 9, No. 1, 107-127 (2021). MSC: 35S16 46T30 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} et al., Bukovyn. Mat. Zh. 9, No. 1, 107--127 (2021; Zbl 1488.35661) 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. Evolutionary pseudodifferential equations in the spaces of generalized periodic functions. (English. Ukrainian original) Zbl 1470.35457 J. Math. Sci., New York 256, No. 5, 604-627 (2021); translation from Neliniĭni Kolyvannya 23, No. 1, 38-57 (2020). MSC: 35S10 42A75 46F05 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} and \textit{O. V. Martynyuk}, J. Math. Sci., New York 256, No. 5, 604--627 (2021; Zbl 1470.35457); translation from Neliniĭni Kolyvannya 23, No. 1, 38--57 (2020) 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
Gorodetskiy, V. V.; Kolisnyk, R. S.; Shevchuk, N. M. On one evolution equation of parabolic type with fractional differentiation operator in \(S\) spaces. (English) Zbl 1464.35408 Int. J. Differ. Equ. 2020, Article ID 1673741, 11 p. (2020). MSC: 35S10 35B40 35R11 35K15 35K90 46F05 PDFBibTeX XMLCite \textit{V. V. Gorodetskiy} et al., Int. J. Differ. Equ. 2020, Article ID 1673741, 11 p. (2020; Zbl 1464.35408) 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.; Martynyuk, O. V. A nonlocal problem multipoint by time for one class of evolutionary singular equations. (Ukrainian. English summary) Zbl 1399.47195 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 5, 8-15 (2018). MSC: 47J35 35S05 46E35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{O. V. Martynyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 5, 8--15 (2018; Zbl 1399.47195) Full Text: DOI
Gorodetskii, V. V.; Shirokovskikh, A. A. Nonlocal time-multipoint problem for a class of evolution pseudodifferential equations. (English. Russian original) Zbl 1433.35469 Differ. Equ. 53, No. 5, 630-645 (2017); translation from Differ. Uravn. 53, No. 5, 637-652 (2017). MSC: 35S10 35S05 35K30 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{A. A. Shirokovskikh}, Differ. Equ. 53, No. 5, 630--645 (2017; Zbl 1433.35469); translation from Differ. Uravn. 53, No. 5, 637--652 (2017) Full Text: DOI
Gorodetskii, V. V.; Martynyuk, O. V.; Fedukh, O. V. Nonlocal time-multipoint problem for a certain class of evolutionary pseudodifferential equations with variable symbols. II. (English. Russian original) Zbl 1437.35718 Differ. Equ. 53, No. 2, 200-211 (2017); translation from Differ. Uravn. 53, No. 2, 203-214 (2017). MSC: 35S05 35A09 35B35 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} et al., Differ. Equ. 53, No. 2, 200--211 (2017; Zbl 1437.35718); translation from Differ. Uravn. 53, No. 2, 203--214 (2017) Full Text: DOI
Gorodetskii, V. V.; Martynyuk, O. V.; Fedukh, O. V. Nonlocal time-multipoint problem for a certain class of evolutionary pseudodifferential equations with variable symbols. I. (English. Russian original) Zbl 1437.35717 Differ. Equ. 53, No. 1, 56-73 (2017); translation from Differ. Uravn. 53, No. 1, 58-76 (2017). MSC: 35S05 35A08 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} et al., Differ. Equ. 53, No. 1, 56--73 (2017; Zbl 1437.35717); translation from Differ. Uravn. 53, No. 1, 58--76 (2017) Full Text: DOI
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
Horodetskyj, V. V.; Martynyuk, O. V. Problems nonlocal with respect to time for a class of singular evolution equations. (English) Zbl 1327.35473 Mat. Stud. 42, No. 2, 165-180 (2014). MSC: 35S05 35S15 47J35 PDFBibTeX XMLCite \textit{V. V. Horodetskyj} and \textit{O. V. Martynyuk}, Mat. Stud. 42, No. 2, 165--180 (2014; Zbl 1327.35473)
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)
Horodets’kyi, V. V.; Drin, Ya. M. Multipoint (in time) problem for one class of evolutionary pseudodifferential equations. (English. Ukrainian original) Zbl 1432.35269 Ukr. Math. J. 66, No. 5, 690-706 (2014); translation from Ukr. Mat. Zh. 66, No. 5, 619-633 (2014). MSC: 35S05 35F10 35B30 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} and \textit{Ya. M. Drin}, Ukr. Math. J. 66, No. 5, 690--706 (2014; Zbl 1432.35269); translation from Ukr. Mat. Zh. 66, No. 5, 619--633 (2014) Full Text: DOI
Horodets’kyi, V. V.; Martynyuk, O. V. Nonlocal problem multipoint in time for the evolutionary equations with pseudo-Bessel operators with variable symbols. (English. Ukrainian original) Zbl 1490.35555 Ukr. Math. J. 66, No. 2, 178-196 (2014); translation from Ukr. Mat. Zh. 66, No. 2, 159-175 (2014). MSC: 35S10 35S30 PDFBibTeX XMLCite \textit{V. V. Horodets'kyi} and \textit{O. V. Martynyuk}, Ukr. Math. J. 66, No. 2, 178--196 (2014; Zbl 1490.35555); translation from Ukr. Mat. Zh. 66, No. 2, 159--175 (2014) Full Text: DOI
Gorodets’kyĭ, V. V.; Martynyuk, O. V. On solvability of two-point with respect time problem for evolution equation with the Gel’fond-Leontiev differentiation operator in spaces of \(S'\) type. (Ukrainian. English summary) Zbl 1313.47173 Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 2, 49-65 (2014). MSC: 47J35 58J40 35S05 46E35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{O. V. Martynyuk}, Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 2, 49--65 (2014; Zbl 1313.47173)
Gorodets’kyĭ, V. V.; Drin’, Ya. M. Non-local multipoint with respect to time problem for evolution equations with pseudo-differential operators in spaces of periodic functions. (Ukrainian. English summary) Zbl 1313.47172 Bukovyn. Mat. Zh. 2, No. 1-2, 26-42 (2014). MSC: 47J35 58J40 35S05 46E35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{Ya. M. Drin'}, Bukovyn. Mat. Zh. 2, No. 1--2, 26--42 (2014; Zbl 1313.47172)
Gorodetskii, V. V.; Martynyuk, O. V. Cauchy problem for singular evolution equations with pseudo-Bessel operators of infinite order. (English. Russian original) Zbl 1301.35229 Differ. Equ. 50, No. 6, 777-791 (2014); translation from Differ. Uravn. 50, No. 6, 780-794 (2014). MSC: 35S10 47G30 47J35 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{O. V. Martynyuk}, Differ. Equ. 50, No. 6, 777--791 (2014; Zbl 1301.35229); translation from Differ. Uravn. 50, No. 6, 780--794 (2014) Full Text: DOI
Gorodets’kyĭ, V. V.; Shyrokovs’kyĭ, A. O. Non-locall multi-point problem for a class of evolution pseudo-differential equations with analytic characters. (Ukrainian. English summary) Zbl 1313.58014 Bukovyn. Mat. Zh. 1, No. 1-2, 36-49 (2013). MSC: 58J40 35S05 46E35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyĭ} and \textit{A. O. Shyrokovs'kyĭ}, Bukovyn. Mat. Zh. 1, No. 1--2, 36--49 (2013; Zbl 1313.58014)
Gorodets’kyj, V. V.; Drin’, Ya. M. Pseudodifferential operators of infinite order in countable normed spaces of smooth functions. (Ukrainian. English summary) Zbl 1289.58017 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 96-111 (2013). MSC: 58J40 35S05 46E35 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{Ya. M. Drin'}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 96--111 (2013; Zbl 1289.58017)
Gorodetskii, V. V.; Drin’, Ya. M. Method of hybrid integral transforms for analyzing direct and inverse problems for a class of equations with a pseudodifferential operator. (English. Russian original) Zbl 1303.35123 Differ. Equ. 49, No. 4, 468-474 (2013); translation from Differ. Uravn. 49, No. 4, 487-493 (2013). MSC: 35S05 35R30 35S11 35S30 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{Ya. M. Drin'}, Differ. Equ. 49, No. 4, 468--474 (2013; Zbl 1303.35123); translation from Differ. Uravn. 49, No. 4, 487--493 (2013) Full Text: DOI
Gorodets’kyj, V. V.; Drin’, Ya. M. Investigation of the behaviour of oscillating integrals. (Ukrainian. English summary) Zbl 1249.35364 Nauk. Visn. Chernivets’kogo Univ., Mat. 1, No. 3, 13-18 (2011). MSC: 35S10 47G30 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{Ya. M. Drin'}, Nauk. Visn. Chernivets'kogo Univ., Mat. 1, No. 3, 13--18 (2011; Zbl 1249.35364)
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.; Spizhavka, D. I. Cauchy problem for evolution equations with pseudo-Bessel operators. II. (English. Russian original) Zbl 1222.35218 Differ. Equ. 47, No. 1, 69-77 (2011); translation from Differ. Uravn. 47, No. 1, 70-78 (2011). MSC: 35S05 35A08 47G30 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{D. I. Spizhavka}, Differ. Equ. 47, No. 1, 69--77 (2011; Zbl 1222.35218); translation from Differ. Uravn. 47, No. 1, 70--78 (2011) 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)
Gorodetskii, V. V.; Spizhavka, D. I. Cauchy problem for evolution equations with pseudo-Bessel operators. I. (English. Russian original) Zbl 1216.35190 Differ. Equ. 46, No. 9, 1253-1266 (2010); translation from Differ. Uravn. 46, No. 9, 1245-1258 (2010). MSC: 35S05 35A08 47G30 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{D. I. Spizhavka}, Differ. Equ. 46, No. 9, 1253--1266 (2010; Zbl 1216.35190); translation from Differ. Uravn. 46, No. 9, 1245--1258 (2010) Full Text: DOI
Gorodetskii, V. V.; Mironik, V. I. Two-point problem for a class of evolution equations. II. (English. Russian original) Zbl 1205.35329 Differ. Equ. 46, No. 4, 523-529 (2010); translation from Differ. Uravn. 46, No. 4, 520-526 (2010). MSC: 35R09 35S11 35A08 PDFBibTeX XMLCite \textit{V. V. Gorodetskii} and \textit{V. I. Mironik}, Differ. Equ. 46, No. 4, 523--529 (2010; Zbl 1205.35329); translation from Differ. Uravn. 46, No. 4, 520--526 (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.; 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
Gorodets’kyj, V. V.; Drin’, Ya. M. Dirichlet problem for one class of evolutionary equations. (Ukrainian. English summary) Zbl 1142.35632 Nauk. Visn. Chernivets’kogo Univ., Mat. 336-337, 63-78 (2007). MSC: 35S05 PDFBibTeX XMLCite \textit{V. V. Gorodets'kyj} and \textit{Ya. M. Drin'}, Nauk. Visn. Chernivets'kogo Univ., Mat. 336--337, 63--78 (2007; Zbl 1142.35632)
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)
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)