Perestyuk, M. O.; Slyusarchuk, V. Yu. Method of local linear approximation in the theory of nonlinear impulsive systems. (English. Ukrainian original) Zbl 07730055 Ukr. Math. J. 75, No. 1, 118-137 (2023); translation from Ukr. Mat. Zh. 75, No. 1, 105-120 (2023). Reviewer: J. Vasundhara Devi (Visakhapatnam) MSC: 34G20 34A37 34C11 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 75, No. 1, 118--137 (2023; Zbl 07730055); translation from Ukr. Mat. Zh. 75, No. 1, 105--120 (2023) Full Text: DOI
Perestyuk, M. O.; Slyusarchuk, V. Yu. Systems with perturbations of parameters. (English. Ukrainian original) Zbl 1511.93060 J. Math. Sci., New York 270, No. 2, 335-352 (2023); translation from Neliniĭni Kolyvannya 24, No. 2, 233-248 (2021). MSC: 93C25 93C73 34C25 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, J. Math. Sci., New York 270, No. 2, 335--352 (2023; Zbl 1511.93060); translation from Neliniĭni Kolyvannya 24, No. 2, 233--248 (2021) Full Text: DOI
Perestyuk, M. O.; Slyusarchuk, V. Yu. Application of the Green-Samoilenko function and operator to the investigation of non-Lipschitz differential equations. (English. Ukrainian original) Zbl 1528.34040 Ukr. Math. J. 73, No. 12, 1937-1957 (2022); translation from Ukr. Mat. Zh. 73, No. 12, 1673-1690 (2021). Reviewer: Christos Sourdis (Athína) MSC: 34C45 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 73, No. 12, 1937--1957 (2022; Zbl 1528.34040); translation from Ukr. Mat. Zh. 73, No. 12, 1673--1690 (2021) Full Text: DOI
Slyusarchuk, V. Yu. Equations whose sets of solutions are invariant under a group of mappings isomorphic to a one-parameter group of rotations. (English. Ukrainian original) Zbl 1481.34048 J. Math. Sci., New York 256, No. 5, 689-702 (2021); translation from Neliniĭni Kolyvannya 23, No. 1, 112-123 (2020). MSC: 34C14 34D20 34C11 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, J. Math. Sci., New York 256, No. 5, 689--702 (2021; Zbl 1481.34048); translation from Neliniĭni Kolyvannya 23, No. 1, 112--123 (2020) Full Text: DOI
Slyusarchuk, V. Yu. Almost periodic solutions of differential equations. (English. Ukrainian original) Zbl 1486.34089 J. Math. Sci., New York 254, No. 2, 287-304 (2021); translation from Neliniĭni Kolyvannya 22, No. 4, 532-547 (2019). Reviewer: Daria Bbugajewska (Poznań) MSC: 34C27 42A75 37C60 47E05 34A09 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, J. Math. Sci., New York 254, No. 2, 287--304 (2021; Zbl 1486.34089); translation from Neliniĭni Kolyvannya 22, No. 4, 532--547 (2019) Full Text: DOI
Slyusarchuk, V. Yu. Linear functional-differential equations with absolutely unstable solutions. (English. Ukrainian original) Zbl 1509.34075 Ukr. Math. J. 71, No. 11, 1802-1812 (2020); translation from Ukr. Mat. Zh. 71, No. 11, 1570-1578 (2019). MSC: 34K20 34K06 34K40 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 71, No. 11, 1802--1812 (2020; Zbl 1509.34075); translation from Ukr. Mat. Zh. 71, No. 11, 1570--1578 (2019) Full Text: DOI
Slyusarchuk, V. Yu. Absolutely unstable differential equations with aftereffect. (English) Zbl 1460.34088 Nonlinear Dyn. Syst. Theory 20, No. 3, 327-332 (2020). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34K20 34K06 34K08 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Nonlinear Dyn. Syst. Theory 20, No. 3, 327--332 (2020; Zbl 1460.34088) Full Text: Link
Slyusarchuk, V. Yu. Equations in Hilbert spaces whose sets of solutions are invariant under a group isomorphic to a one-parameter group of unitary operators. (English. Ukrainian original) Zbl 07254315 Ukr. Math. J. 72, No. 1, 98-113 (2020); translation from Ukr. Mat. Zh. 72, No. 1, 86-99 (2020). MSC: 47-XX 34-XX PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 72, No. 1, 98--113 (2020; Zbl 07254315); translation from Ukr. Mat. Zh. 72, No. 1, 86--99 (2020) Full Text: DOI
Slyusarchuk, V. Yu. Instability of unbounded solutions of evolution equations with operator coefficients commuting with rotation operators. (Ukrainian. English summary) Zbl 1463.83003 Bukovyn. Mat. Zh. 7, No. 2, 105-116 (2019). MSC: 83D05 34K20 83-10 85A15 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Bukovyn. Mat. Zh. 7, No. 2, 105--116 (2019; Zbl 1463.83003) Full Text: Link
Slyusarchuk, V. Yu. Investigation of systems of differential equations with delays and constraints imposed on the derivatives of solutions. (English. Ukrainian original) Zbl 1435.34065 Ukr. Math. J. 71, No. 5, 774-791 (2019); translation from Ukr. Mat. Zh. 71, No. 5, 677-691 (2019). MSC: 34K05 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 71, No. 5, 774--791 (2019; Zbl 1435.34065); translation from Ukr. Mat. Zh. 71, No. 5, 677--691 (2019) Full Text: DOI
Slyusarchuk, V. Yu. On the Favard theory without \(\mathcal{H}\)-classes for differential-functional equations in Banach spaces. (English. Ukrainian original) Zbl 1444.34086 Ukr. Math. J. 71, No. 7, 1087-1104 (2019); translation from Ukr. Mat. Zh. 71, No. 7, 952-967 (2019). Reviewer: Panagiotis Koumantos (Athína) MSC: 34K30 34K12 34K14 47N20 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 71, No. 7, 1087--1104 (2019; Zbl 1444.34086); translation from Ukr. Mat. Zh. 71, No. 7, 952--967 (2019) Full Text: DOI
Slyusarchuk, V. Yu. Mathematical model of the solar system with regard for the velocity of gravitation. (English. Ukrainian original) Zbl 1455.70014 J. Math. Sci., New York 243, No. 2, 287-312 (2019); translation from Neliniĭni Kolyvannya 21, No. 2, 238-261 (2018). MSC: 70M20 70F15 85A04 34K99 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, J. Math. Sci., New York 243, No. 2, 287--312 (2019; Zbl 1455.70014); translation from Neliniĭni Kolyvannya 21, No. 2, 238--261 (2018) Full Text: DOI
Slyusarchuk, V. Yu. Instability of unbounded solutions of evolution equations with operator coefficients commuting with rotation operators. (Ukrainian. English summary) Zbl 1438.34216 Bukovyn. Mat. Zh. 7, No. 1, 99-113 (2019). MSC: 34G20 34A37 34D20 39A22 34C14 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Bukovyn. Mat. Zh. 7, No. 1, 99--113 (2019; Zbl 1438.34216) Full Text: Link
Slyusarchuk, V. Yu. One application of differential equations with deviated argument. (Ukrainian. English summary) Zbl 1424.70005 Bukovyn. Mat. Zh. 6, No. 1-2, 104-111 (2018). MSC: 70F05 70M20 34K60 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Bukovyn. Mat. Zh. 6, No. 1--2, 104--111 (2018; Zbl 1424.70005) Full Text: Link
Slyusarchuk, V. Yu. Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients. (English. Ukrainian original) Zbl 1417.34179 Ukr. Math. J. 70, No. 5, 826-836 (2018); translation from Ukr. Mat. Zh. 70, No. 5, 715-724 (2018). MSC: 34K20 34K06 34K30 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 70, No. 5, 826--836 (2018; Zbl 1417.34179); translation from Ukr. Mat. Zh. 70, No. 5, 715--724 (2018) Full Text: DOI
Slyusarchuk, V. Yu. Favard-Amerio theory for almost periodic functional-differential equations without using the \(\mathcal{H}\)-classes of these equations. (English. Ukrainian original) Zbl 1499.34363 Ukr. Math. J. 69, No. 6, 916-932 (2017); translation from Ukr. Mat. Zh. 69, No. 6, 788-802 (2017). MSC: 34K14 34K30 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 69, No. 6, 916--932 (2017; Zbl 1499.34363); translation from Ukr. Mat. Zh. 69, No. 6, 788--802 (2017) Full Text: DOI
Slyusarchuk, V. Yu. Conditions of solvability for nonlinear differential equations with perturbations of the solutions in the space of functions bounded on the axis. (English. Ukrainian original) Zbl 1499.34237 Ukr. Math. J. 68, No. 9, 1481-1493 (2017); translation from Ukr. Mat. Zh. 68, No. 9, 1286-1296 (2016). MSC: 34C11 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 68, No. 9, 1481--1493 (2017; Zbl 1499.34237); translation from Ukr. Mat. Zh. 68, No. 9, 1286--1296 (2016) Full Text: DOI
Slyusarchuk, Vasilii E. Necessary and sufficient conditions for the existence and uniqueness of a bounded solution of the equation \(\frac{dx(t)}{dt}=f(x(t)+h_1(t))+h_2(t)\). (English. Russian original) Zbl 1382.34035 Sb. Math. 208, No. 2, 255-268 (2017); translation from Mat. Sb. 208, No. 2, 88-103 (2017). Reviewer: Zaihong Wang (Beijing) MSC: 34C11 34C27 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Sb. Math. 208, No. 2, 255--268 (2017; Zbl 1382.34035); translation from Mat. Sb. 208, No. 2, 88--103 (2017) Full Text: DOI
Slyusarchuk, V. Yu. Almost periodic and Poisson stable solutions of difference equations in metric spaces. (English. Ukrainian original) Zbl 1390.39063 Ukr. Math. J. 67, No. 12, 1932-1940 (2016); translation from Ukr. Mat. Zh. 67, No. 12, 1707-1714 (2015). MSC: 39A70 34C27 39A30 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 67, No. 12, 1932--1940 (2016; Zbl 1390.39063); translation from Ukr. Mat. Zh. 67, No. 12, 1707--1714 (2015) Full Text: DOI
Slyusarchuk, V. Yu. Almost periodic solutions of nonlinear discrete systems that can be not almost periodic in Bochner’s sense. (English. Ukrainian original) Zbl 1335.39022 J. Math. Sci., New York 212, No. 3, 335-348 (2016); translation from Neliniĭni Kolyvannya 17, No. 3, 407-418 (2014). MSC: 39A24 39A12 39A10 34C27 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, J. Math. Sci., New York 212, No. 3, 335--348 (2016; Zbl 1335.39022); translation from Neliniĭni Kolyvannya 17, No. 3, 407--418 (2014) Full Text: DOI
Slyusarchuk, V. Yu. A criterion for the existence of almost periodic solutions of nonlinear differential equations with impulsive perturbation. (English. Ukrainian original) Zbl 1353.34051 Ukr. Math. J. 67, No. 6, 948-959 (2015); translation from Ukr. Mat. Zh. 67, No. 6, 838-848 (2015). MSC: 34C27 34G20 34A37 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 67, No. 6, 948--959 (2015; Zbl 1353.34051); translation from Ukr. Mat. Zh. 67, No. 6, 838--848 (2015) Full Text: DOI
Slyusarchuk, V. Yu. Almost periodic solutions of nonlinear equations that are not necessarily almost periodic in Bochner’s sense. (English. Ukrainian original) Zbl 1490.39022 Ukr. Math. J. 67, No. 2, 267-282 (2015); translation from Ukr. Mat. Zh. 67, No. 2, 230-244 (2015). MSC: 39A24 34C27 47A16 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 67, No. 2, 267--282 (2015; Zbl 1490.39022); translation from Ukr. Mat. Zh. 67, No. 2, 230--244 (2015) Full Text: DOI
Slyusarchuk, V. Yu. Conditions of existence of almost periodic zeros of diagonal operators which act in the space of bounded sequences. (Ukrainian. English summary) Zbl 1363.34117 Bukovyn. Mat. Zh. 3, No. 2, 84-89 (2015). MSC: 34C27 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Bukovyn. Mat. Zh. 3, No. 2, 84--89 (2015; Zbl 1363.34117)
Slyusarchuk, V. Ye. Conditions for the existence of almost-periodic solutions of nonlinear difference equations in Banach space. (English. Russian original) Zbl 1323.39014 Math. Notes 97, No. 2, 268-274 (2015); translation from Mat. Zametki 97, No. 2, 277-285 (2015). Reviewer: Syed Abbas (Mandi) MSC: 39A24 46B45 39A10 34A34 34K05 34C27 34K14 PDFBibTeX XMLCite \textit{V. Ye. Slyusarchuk}, Math. Notes 97, No. 2, 268--274 (2015; Zbl 1323.39014); translation from Mat. Zametki 97, No. 2, 277--285 (2015) Full Text: DOI
Slyusarchuk, V. Yu. Differential equations with absolutely unstable trivial solutions. (English. Ukrainian original) Zbl 1351.34067 Ukr. Math. J. 65, No. 9, 1406-1417 (2014); translation from Ukr. Mat. Zh. 65, No. 9, 1266-1275 (2013). Reviewer: Klaus R. Schneider (Berlin) MSC: 34D20 34G20 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 65, No. 9, 1406--1417 (2014; Zbl 1351.34067); translation from Ukr. Mat. Zh. 65, No. 9, 1266--1275 (2013) Full Text: DOI
Slyusarchuk, V. Yu. Conditions for almost periodicity of bounded solutions of nonlinear differential equations unsolved with respect to the derivative. (English. Ukrainian original) Zbl 1317.34017 Ukr. Math. J. 66, No. 3, 432-442 (2014); translation from Ukr. Mat. Zh. 66, No. 3, 384-393 (2014). MSC: 34A09 34G20 34C27 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 66, No. 3, 432--442 (2014; Zbl 1317.34017); translation from Ukr. Mat. Zh. 66, No. 3, 384--393 (2014) Full Text: DOI
Slyusarchuk, V. E. Conditions for almost periodicity of bounded solutions of non-linear differential-difference equations. (English. Russian original) Zbl 1310.34095 Izv. Math. 78, No. 6, 1232-1243 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, no. 6, 179-192 (2014). MSC: 34K14 34K30 34K12 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Izv. Math. 78, No. 6, 1232--1243 (2014; Zbl 1310.34095); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, no. 6, 179--192 (2014) Full Text: DOI
Slyusarchuk, V. E. The study of nonlinear almost periodic differential equations without recourse to the \({\mathcal H}\)-classes of these equations. (English. Russian original) Zbl 1316.34049 Sb. Math. 205, No. 6, 892-911 (2014); translation from Math. Sb. 205, No. 6, 139-160 (2014). Reviewer: Rafael Ortega (Granada) MSC: 34C27 42A75 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Sb. Math. 205, No. 6, 892--911 (2014; Zbl 1316.34049); translation from Math. Sb. 205, No. 6, 139--160 (2014) Full Text: DOI
Slyusarchuk, V. Yu. Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces. (English. Ukrainian original) Zbl 1285.34038 Ukr. Math. J. 65, No. 2, 341-347 (2013); translation from Ukr. Mat. Zh. 65, No. 2, 307-312 (2013). MSC: 34C27 34G20 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 65, No. 2, 341--347 (2013; Zbl 1285.34038); translation from Ukr. Mat. Zh. 65, No. 2, 307--312 (2013) Full Text: DOI
Slyusarchuk, V. Yu. Denseness of the set of Cauchy problems with nonunique solutions in the set of all Cauchy problems. (English. Russian original) Zbl 1260.34118 Ukr. Math. J. 64, No. 7, 1144-1150 (2012); translation from Ukr. Mat. Zh. 64, No. 7, 1001-1006 (2012). MSC: 34G20 34A12 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Math. J. 64, No. 7, 1144--1150 (2012; Zbl 1260.34118); translation from Ukr. Mat. Zh. 64, No. 7, 1001--1006 (2012) Full Text: DOI
Slyusarchuk, V. Yu. Boundedness conditions for solutions to the nonlinear differential equation \(x''+ F(x', x) = y(t)\). (Ukrainian. English summary) Zbl 1265.34136 Nauk. Visn. Chernivets’kogo Univ., Mat. 2, No. 1, 108-119 (2012). MSC: 34C11 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Nauk. Visn. Chernivets'kogo Univ., Mat. 2, No. 1, 108--119 (2012; Zbl 1265.34136)
Slyusarchuk, V. E. Bounded and periodic solutions of nonlinear functional differential equations. (English. Russian original) Zbl 1262.34081 Sb. Math. 203, No. 5, 743-767 (2012); translation from Mat. Sb. 203, No. 5, 135-160 (2012). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34K12 34K13 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Sb. Math. 203, No. 5, 743--767 (2012; Zbl 1262.34081); translation from Mat. Sb. 203, No. 5, 135--160 (2012) Full Text: DOI
Slyusarchuk, V. Yu. Cauchy problems with non-unique solutions. (Ukrainian. English summary) Zbl 1249.34022 Nauk. Visn. Chernivets’kogo Univ., Mat. 1, No. 4, 117-118 (2011). MSC: 34A12 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Nauk. Visn. Chernivets'kogo Univ., Mat. 1, No. 4, 117--118 (2011; Zbl 1249.34022)
Slyusarchuk, V. E. Necessary and sufficient conditions for the existence and \(\varepsilon \)-uniqueness of bounded solutions of the equation \(x^{\prime} = f(x) - h(t)\). (English. Russian original) Zbl 1237.34046 Math. Notes 90, No. 1, 136-141 (2011); translation from Mat. Zametki 90, No. 1, 137-142 (2011). MSC: 34C11 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. Notes 90, No. 1, 136--141 (2011; Zbl 1237.34046); translation from Mat. Zametki 90, No. 1, 137--142 (2011) Full Text: DOI
Slyusarchuk, V. Yu. Strengthening of the Kneser theorem on zeros of solutions of the equation \(u''+q(t)u=0\) using one functional equation. (Ukrainian, English) Zbl 1240.34183 Ukr. Mat. Zh. 62, No. 12, 1705-1714 (2010); translation in Ukr. Math. J. 62, No. 12, 1978-1988 (2010). MSC: 34C10 34A30 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 62, No. 12, 1705--1714 (2010; Zbl 1240.34183); translation in Ukr. Math. J. 62, No. 12, 1978--1988 (2010) Full Text: DOI
Slyusarchuk, V. Yu. Conditions for the existence of bounded solutions of nonlinear differential and functional differential equations. (Ukrainian, English) Zbl 1221.47106 Ukr. Mat. Zh. 62, No. 6, 837-846 (2010); translation in Ukr. Math. J. 62, No. 6, 970-981 (2010). MSC: 47J05 34K05 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 62, No. 6, 837--846 (2010; Zbl 1221.47106); translation in Ukr. Math. J. 62, No. 6, 970--981 (2010) Full Text: DOI
Slyusarchuk, V. E. The method of local linear approximation in the theory of nonlinear functional-differential equations. (English. Russian original) Zbl 1208.34099 Sb. Math. 201, No. 8, 1193-1215 (2010); translation from Mat. Sb. 201, No. 8, 103-126 (2010). Reviewer: Panagiotis Ch. Tsamatos (Ioannina) MSC: 34K05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Sb. Math. 201, No. 8, 1193--1215 (2010; Zbl 1208.34099); translation from Mat. Sb. 201, No. 8, 103--126 (2010) Full Text: DOI
Slyusarchuk, Vasyl Yu. Conditions for the existence and uniqueness of bounded almost-periodic solutions of the nonlinear differential equation \(f_1\left(\frac{dx(t)}{dt}\right)+f_2(x(t))=h(t)\). (English) Zbl 1225.34048 Bull. Soc. Sci. Lett. Łódź 59, Sér. Rech. Déform. 59, No. 1, 71-80 (2009). MSC: 34C27 34C11 34A09 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 59(59), No. 1, 71--80 (2009; Zbl 1225.34048)
Slyusarchuk, V. Yu. Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations. (Ukrainian, English) Zbl 1224.34105 Ukr. Mat. Zh. 61, No. 11, 1541-1556 (2009); translation in Ukr. Math. J. 61, No. 11, 1809-1829 (2009). MSC: 34C11 34A34 34C20 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 61, No. 11, 1541--1556 (2009; Zbl 1224.34105); translation in Ukr. Math. J. 61, No. 11, 1809--1829 (2009) Full Text: DOI
Perestyuk, M. O.; Slyusarchuk, V. Yu. Green-Samoilenko operator in the theory of invariant sets of nonlinear differential equations. (Ukrainian, English) Zbl 1224.34141 Ukr. Mat. Zh. 61, No. 7, 948-957 (2009); translation in Ukr. Math. J. 61, No. 7, 1123-1136 (2009). MSC: 34C46 34C45 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 61, No. 7, 948--957 (2009; Zbl 1224.34141); translation in Ukr. Math. J. 61, No. 7, 1123--1136 (2009) Full Text: DOI
Slyusarchuk, V. Yu. Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations. (Ukrainian, English) Zbl 1224.34006 Ukr. Mat. Zh. 61, No. 2, 268-279 (2009); translation in Ukr. Math. J. 61, No. 2, 320-335 (2009). MSC: 34A09 34C11 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 61, No. 2, 268--279 (2009; Zbl 1224.34006); translation in Ukr. Math. J. 61, No. 2, 320--335 (2009) Full Text: DOI
Kovalev, A. M.; Martynyuk, A. A.; Boichuk, O. A.; Mazko, A. G.; Petryshyn, R. I.; Slyusarchuk, V. Yu.; Zuyev, A. L.; Slyn’ko, V. I. Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems. (English) Zbl 1177.93002 Nonlinear Dyn. Syst. Theory 9, No. 2, 117-145 (2009). MSC: 93-02 93C10 15A18 15A22 15A24 15A42 34K06 34K11 37N15 93A15 93B18 93B25 93B55 93C35 93D09 93D20 PDFBibTeX XMLCite \textit{A. M. Kovalev} et al., Nonlinear Dyn. Syst. Theory 9, No. 2, 117--145 (2009; Zbl 1177.93002)
Slyusarchuk, V. Yu. Invertibility of the nonlinear operator \((\mathcal Lx)(t)=H\left(x(t),\frac{dx(t)}{dt}\right)\) in the space of functions bounded on the axis. (English. Ukrainian original) Zbl 1277.34119 Nonlinear Oscil., N.Y. 11, No. 3, 442-460 (2008); translation from Nelinijni Kolyvannya 11, No. 3, 421-436 (2008). MSC: 34L30 47J05 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Nonlinear Oscil., N.Y. 11, No. 3, 442--460 (2008; Zbl 1277.34119); translation from Nelinijni Kolyvannya 11, No. 3, 421--436 (2008) Full Text: DOI
Slyusarchuk, V. Yu. Nonlinear differential equations with solutions bounded on \(\mathbb R\). (English. Ukrainian original) Zbl 1276.34028 Nonlinear Oscil., N.Y. 11, No. 1, 97-113 (2008); translation from Nelinijni Kolyvannya 11, No. 1, 96-111 (2008). MSC: 34C11 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Nonlinear Oscil., N.Y. 11, No. 1, 97--113 (2008; Zbl 1276.34028); translation from Nelinijni Kolyvannya 11, No. 1, 96--111 (2008) Full Text: DOI
Slyusarchuk, V. Yu. Generalization of the Mukhamadiev theorem on the invertibility of functional operators in the space of bounded functions. (Ukrainian, English) Zbl 1164.47330 Ukr. Mat. Zh. 60, No. 3, 398-412 (2008); translation in Ukr. Math. J. 60, No. 3, 462-480 (2008). MSC: 47B38 34L99 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 60, No. 3, 398--412 (2008; Zbl 1164.47330); translation in Ukr. Math. J. 60, No. 3, 462--480 (2008) Full Text: DOI
Slyusarchuk, V. Yu. Nonlinear nonautonomous differential equations with bounded solutions. (Ukrainian. English summary) Zbl 1164.34305 Mat. Stud. 29, No. 1, 89-96 (2008). MSC: 34A12 34A34 34A45 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Mat. Stud. 29, No. 1, 89--96 (2008; Zbl 1164.34305)
Slyusarchuk, V. Yu. Nonlinear differential equations with bounded solutions. (Ukrainian. English summary) Zbl 1164.34395 Nauk. Visn. Chernivets’kogo Univ., Mat. 349, 101-109 (2007). MSC: 34C11 34A34 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Nauk. Visn. Chernivets'kogo Univ., Mat. 349, 101--109 (2007; Zbl 1164.34395)
Slyusarchuk, V. Yu. Generalization of the Kneser theorem on zeros of solutions of the equation \(y''+p(t)y=0\). (Ukrainian. English summary) Zbl 1150.34516 Ukr. Mat. Zh. 59, No. 4, 571-576 (2007); translation in Ukr. Math. J. 59, No. 4, 639-644 (2007). Reviewer: A. N. Kochubei (Kyïv) MSC: 34G10 34C10 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 59, No. 4, 571--576 (2007; Zbl 1150.34516); translation in Ukr. Math. J. 59, No. 4, 639--644 (2007) Full Text: DOI
Slyusarchuk, V. Yu.; Sukretnyj, V. I. Nonlinear differential equations with quasinilpotent operator and unstable zero solution. (Ukrainian) Zbl 1114.34042 Nelinijni Kolyvannya 8, No. 3, 404-414 (2005). Reviewer: A. N. Chernienko (Kyïv) MSC: 34G20 34D20 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk} and \textit{V. I. Sukretnyj}, Neliniĭni Kolyvannya 8, No. 3, 404--414 (2005; Zbl 1114.34042) Full Text: DOI
Slyusarchuk, V. Yu. Absolute instability conditions for solutions of differential difference equations. (Ukrainian) Zbl 1101.34334 Nelinijni Kolyvannya 7, No. 3, 430-436 (2004). Reviewer: A. Karimzhanov (Andizhan) MSC: 34K20 34K06 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Neliniĭni Kolyvannya 7, No. 3, 430--436 (2004; Zbl 1101.34334) Full Text: DOI
Slyusarchuk, V. E. Necessary and sufficient conditions for the Lipschitz invertibility of the nonlinear differential mapping \(d/dt-f\) in the spaces \(L_ p({\mathbb R},{\mathbb R}), 1\leq p\leq\infty\). (English. Russian original) Zbl 1075.47027 Math. Notes 73, No. 6, 843-854 (2003); translation from Mat. Zametki 73, No. 6, 891-903 (2003). Reviewer: Lutz Recke (Berlin) MSC: 47E05 34L30 46T20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. Notes 73, No. 6, 843--854 (2003; Zbl 1075.47027); translation from Mat. Zametki 73, No. 6, 891--903 (2003) Full Text: DOI
Perestyuk, N. A.; Slusarchuk, V. Yu. Oscillation of nonlinear differential-integral equation in a Banach space with respect to its subspace. (English) Zbl 1026.34041 Math. Notes, Miskolc 4, No. 1, 53-64 (2003). MSC: 34C15 34G20 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{V. Yu. Slusarchuk}, Math. Notes, Miskolc 4, No. 1, 53--64 (2003; Zbl 1026.34041)
Perestyuk, M. O.; Slyusarchuk, V. Yu. Conditions for the existence of nonoscillatory solutions of nonlinear differential equations with delay and impulsive perturbation in Banach space. (Ukrainian, English) Zbl 1042.34102 Ukr. Mat. Zh. 55, No. 6, 790-798 (2003); translation in Ukr. Math. J. 55, No. 6, 956-965 (2003). Reviewer: I. O. Parasyuk (Kyïv) MSC: 34K30 34K11 34K45 PDFBibTeX XMLCite \textit{M. O. Perestyuk} and \textit{V. Yu. Slyusarchuk}, Ukr. Mat. Zh. 55, No. 6, 790--798 (2003; Zbl 1042.34102); translation in Ukr. Math. J. 55, No. 6, 956--965 (2003) Full Text: DOI
Slyusarchuk, V. E. Necessary and sufficient conditions for the invertibility of the nonlinear differential operator \(d/dt+f\) in the space of bounded functions on the real axis. (Russian) Zbl 1104.34340 Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 3. Differential equations and nonlinear oscillation. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2648-9). 138-151 (2002). MSC: 34L30 47E05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 3. Dyferentsial'ni rivnyannya i nelinijni kolyvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 138--151 (2002; Zbl 1104.34340)
Slyusarchuk, V. E. Density of a set of unsolvable Cauchy problems in the set of all Cauchy problems in the case of infinite-dimensional Banach space. (Russian) Zbl 1098.34501 Nelinijni Kolyvannya 5, No. 1, 86-89 (2002). Reviewer: A. A. Martynyuk (Kyïv) MSC: 34A12 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Neliniĭni Kolyvannya 5, No. 1, 86--89 (2002; Zbl 1098.34501) Full Text: DOI
Slyusarchuk, V. Yu. Bounded solutions to telegraph equations. (Ukrainian. English summary) Zbl 1097.35559 Kraj. Zadachi Dyfer. Rivnyan’ 9, 164-180 (2002). Reviewer: Yu. I. Samoylenko (Kyïv) MSC: 35R10 34K60 PDFBibTeX XMLCite \textit{V. Yu. Slyusarchuk}, Kraĭ. Zadachi Dyfer. Rivnyan' 9, 164--180 (2002; Zbl 1097.35559)
Slyusarchuk, V. E. Necessary and sufficient conditions for the Lipschitz invertibility of the nonlinear differential operator \(d/dt-f\) in the space of bounded functions on the real axis. (English) Zbl 1049.34103 Nonlinear Oscil. 4, No. 2, 272-277 (2001). Reviewer: A. A. Martynyuk (Kyïv) MSC: 34L30 47E05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Nonlinear Oscil. 4, No. 2, 272--277 (2001; Zbl 1049.34103)
Slyusarchuk, V. E. Necessary and sufficient conditions for existence and uniqueness of bounded and almost-periodic solutions of nonlinear differential equations. (English) Zbl 1009.47031 Acta Appl. Math. 65, No. 1-3, 333-341 (2001). MSC: 47E05 47N20 34A34 34C11 34C27 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Acta Appl. Math. 65, No. 1--3, 333--341 (2001; Zbl 1009.47031) Full Text: DOI
Slyusarchuk, V. E. General theorems on the existence and uniqueness of solutions to impulsive differential equations. (English. Russian original) Zbl 0976.34010 Ukr. Math. J. 52, No. 7, 1094-1106 (2000); translation from Ukr. Mat. Zh. 52, No. 7, 954-964 (2000). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34A37 34G20 47H10 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 52, No. 7, 954--964 (2000; Zbl 0976.34010); translation from Ukr. Mat. Zh. 52, No. 7, 954--964 (2000) Full Text: DOI
Slyusarchuk, V. E. Conditions for the existence of bounded solutions to nonlinear differential equations. (English. Russian original) Zbl 0968.34024 Russ. Math. Surv. 54, No. 4, 852-853 (1999); translation from Usp. Mat. Nauk 54, No. 4, 181-182 (1999). MSC: 34C11 34A34 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Russ. Math. Surv. 54, No. 4, 852--853 (1999; Zbl 0968.34024); translation from Usp. Mat. Nauk 54, No. 4, 181--182 (1999) Full Text: DOI
Slyusarchuk, V. E. Necessary and sufficient conditions for the oscillation of solutions to nonlinear differential equations with pulse influence in the Banach space. (English. Russian original) Zbl 0938.34024 Ukr. Math. J. 51, No. 1, 107-118 (1999); translation from Ukr. Mat. Zh. 51, No. 1, 98-109 (1999). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34C10 34G20 34A37 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 51, No. 1, 98--109 (1999; Zbl 0938.34024); translation from Ukr. Mat. Zh. 51, No. 1, 98--109 (1999)
Slyusarchuk, V. E. Nonlinear differential equations with asymptotically stable solutions. (Russian) Zbl 0915.34059 Ukr. Mat. Zh. 50, No. 2, 264-273 (1998). Reviewer: A.N.Kochubei (Kyïv) MSC: 34G20 34D05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 50, No. 2, 264--273 (1998; Zbl 0915.34059) Full Text: DOI
Slyusarchuk, V. E. The iteration method in the theory of boundary problems. (Russian) Zbl 1019.34502 Kraj. Zadachi Dyfer. Rivnyan’ 1, 224-229 (1998). Reviewer: Oleg Limarchenko (Kyïv) MSC: 34G10 34B05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Kraĭ. Zadachi Dyfer. Rivnyan' 1, 224--229 (1998; Zbl 1019.34502)
Slyusarchuk, V. E. Nonlinear differential equations with asymptotically stable solutions. (English. Russian original) Zbl 0933.34066 Ukr. Math. J. 50, No. 2, 302-313 (1998); translation from Ukr. Mat. Zh. 50, No. 2, 264-273 (1998). MSC: 34G20 34D05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 50, No. 2, 264--273 (1998; Zbl 0933.34066); translation from Ukr. Mat. Zh. 50, No. 2, 264--273 (1998) Full Text: DOI
Slyusarchuk, V. E. Theorems on instability of systems with respect to linear approximation. (English. Russian original) Zbl 0941.34061 Ukr. Math. J. 48, No. 8, 1251-1262 (1996); translation from Ukr. Mat. Zh. 48, No. 8, 1104-1113 (1996). MSC: 34G20 34D30 34D10 47N20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Math. J. 48, No. 8, 1251--1262 (1996; Zbl 0941.34061); translation from Ukr. Mat. Zh. 48, No. 8, 1104--1113 (1996) Full Text: DOI
Slyusarchuk, V. E. Strengthening of the Kneser theorem on zeros of the solutions of the equation \(y''+ p(x)y=0\). (English. Russian original) Zbl 0941.34021 Ukr. Math. J. 48, No. 4, 576-581 (1996); translation from Ukr. Mat. Zh. 48, No. 4, 520-524 (1996). MSC: 34C10 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Math. J. 48, No. 4, 576--581 (1996; Zbl 0941.34021); translation from Ukr. Mat. Zh. 48, No. 4, 520--524 (1996) Full Text: DOI
Slyusarchuk, V. E. Necessary and sufficient conditions of oscillation of solutions to nonlinear pulse systems with multiplicatively separated right-hand side. (English. Ukrainian original) Zbl 0938.34025 Ukr. Math. J. 47, No. 3, 443-453 (1995); translation from Ukr. Mat. Zh. 47, No. 3, 381-389 (1995). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34C10 34A37 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 47, No. 3, 381--389 (1995; Zbl 0938.34025); translation from Ukr. Mat. Zh. 47, No. 3, 381--389 (1995) Full Text: DOI
Perestyuk, N. A.; Slyusarchuk, V. E. Periodic solutions to nonlinear differential equations with pulse influence in a Banach space. (English) Zbl 0938.34057 Ukr. Math. J. 47, No. 3, 430-442 (1995) and Ukr. Mat. Zh. 47, No. 3, 370-380 (1995). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34G20 34A37 34B10 PDFBibTeX XMLCite \textit{N. A. Perestyuk} and \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 47, No. 3, 370--380 (1995; Zbl 0938.34057) Full Text: DOI
Slyusarchuk, V. E. Exponential dichotomy of solutions of impulse systems. (English. Russian original) Zbl 0713.34017 Ukr. Math. J. 41, No. 6, 668-672 (1989); translation from Ukr. Mat. Zh. 41, No. 6, 779-783 (1989). Reviewer: S.G.Hristova MSC: 34A37 34D05 34A60 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Math. J. 41, No. 6, 668--672 (1989; Zbl 0713.34017); translation from Ukr. Mat. Zh. 41, No. 6, 779--783 (1989) Full Text: DOI
Slyusarchuk, V. E. Necessary and sufficient conditions for invertibility of uniformly c- continuous functional-differential operators. (English. Russian original) Zbl 0702.34059 Ukr. Math. J. 41, No. 2, 180-183 (1989); translation from Ukr. Mat. Zh. 41, No. 2, 201-205 (1989). Reviewer: P.Zabreiko MSC: 34K99 34K05 34K10 47E05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Math. J. 41, No. 2, 180--183 (1989; Zbl 0702.34059); translation from Ukr. Mat. Zh. 41, No. 2, 201--205 (1989) Full Text: DOI
Slyusarchuk, V. E. Absolutely stable systems with time-lag. (English. Russian original) Zbl 0675.34036 Differ. Equations 24, No. 8, 886-893 (1988); translation from Differ. Uravn. 24, No. 8, 1364-1373 (1988). MSC: 34K20 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Equations 24, No. 8, 886--893 (1988; Zbl 0675.34036); translation from Differ. Uravn. 24, No. 8, 1364--1373 (1988)
Slyusarchuk, V. E. Weakly nonlinear perturbations of normally solvable functional- differential and discrete equations. (English. Russian original) Zbl 0716.34091 Ukr. Math. J. 39, No. 5, 540-542 (1987); translation from Ukr. Mat. Zh. 39, No. 5, 660-662 (1987). MSC: 34K25 34E10 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Math. J. 39, No. 5, 540--542 (1987; Zbl 0716.34091); translation from Ukr. Mat. Zh. 39, No. 5, 660--662 (1987) Full Text: DOI
Slyusarchuk, V. E. Weakly nonlinear perturbations of normally solvable functional- differential and discrete equations. (Russian) Zbl 0661.34079 Ukr. Mat. Zh. 39, No. 5, 660-662 (1987). Reviewer: J.Myjak MSC: 34K25 34E10 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Mat. Zh. 39, No. 5, 660--662 (1987; Zbl 0661.34079) Full Text: DOI
Slyusarchuk, V. E. Necessary and sufficient conditions for invertibility of nonautonomous functional-differential operators. (English. Russian original) Zbl 0656.34011 Math. Notes 42, No. 1-2, 648-651 (1987); translation from Mat. Zametki 42, No. 2, 262-267 (1987). MSC: 34A55 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. Notes 42, No. 1--2, 648--651 (1987; Zbl 0656.34011); translation from Mat. Zametki 42, No. 2, 262--267 (1987) Full Text: DOI
Slyusarchuk, V. E. Invertibility of nonautonomous functional-differential operators. (English. Russian original) Zbl 0646.34016 Math. USSR, Sb. 58, 83-100 (1987); translation from Mat. Sb., Nov. Ser. 130(172), No. 1, 86-104 (1986). Reviewer: J.Banas MSC: 34A55 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. USSR, Sb. 58, 83--100 (1987; Zbl 0646.34016); translation from Mat. Sb., Nov. Ser. 130(172), No. 1, 86--104 (1986) Full Text: DOI
Slyusarchuk, V. E. Necessary and sufficient conditions for the invertibility of nonautonomous functional-differential operators. (Russian) Zbl 0645.34010 Mat. Zametki 42, No. 2, 262-267 (1987). Reviewer: C.Hacia MSC: 34A55 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Mat. Zametki 42, No. 2, 262--267 (1987; Zbl 0645.34010)
Slyusarchuk, V. E. Invertibility of Poisson-stable functional operators. (Russian) Zbl 0636.47029 Some questions of the theory of asymptotic methods of nonlinear mechanics, Collect. sci. Works, Kiev 1986, 173-174 (1986). Reviewer: M.Turinici MSC: 47B38 34G10 PDFBibTeX XML
Shevelo, V. N.; Slyusarchuk, V. E. An approach to the investigation of oscillating solutions of systems of differential equations with deviating argument. (Russian) Zbl 0616.34065 Mat. Fiz. Nelinejnaya Mekh. 6(40), 62-64 (1986). Reviewer: E.Ihle MSC: 34K99 34C10 PDFBibTeX XMLCite \textit{V. N. Shevelo} and \textit{V. E. Slyusarchuk}, Mat. Fiz. Nelineĭn. Mekh. 6(40), 62--64 (1986; Zbl 0616.34065)
Slyusarchuk, V. E. Instability of differential equations with respect to the first approximation. (English. Russian original) Zbl 0577.34054 Math. Notes 37, 41-44 (1985); translation from Mat. Zametki 37, No. 1, 72-77 (1985). Reviewer: A.Tylikowski MSC: 34G20 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. Notes 37, 41--44 (1985; Zbl 0577.34054); translation from Mat. Zametki 37, No. 1, 72--77 (1985) Full Text: DOI
Slyusarchuk, V. E. Some additions to the theory of stability of systems in the first approximation. (English) Zbl 0555.34050 Math. Notes 33, 307-311 (1983). MSC: 34G10 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. Notes 33, 307--311 (1983; Zbl 0555.34050) Full Text: DOI
Slyusarchuk, V. E. On the solvability of functional and functional-differential equations in the space of functions bounded on the axis. (Russian) Zbl 0548.34070 Approximate and qualitative methods of the theory of functional- differential equations, Collect. sci. Works, Kiev 1983, 83-88 (1983). Reviewer: M.M.Konstantinov MSC: 34K99 34C11 PDFBibTeX XML
Slyusarchuk, V. E. Necessary and sufficient conditions for absolute exponential stability of solutions of differential equations of delayed and neutral type. (Russian. English summary) Zbl 0543.34059 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 12, 17-19 (1983). Reviewer: T.Dłotko MSC: 34K20 34G20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 12, 17--19 (1983; Zbl 0543.34059)
Slyusarchuk, V. E. Bounded solutions of impulse systems. (English. Russian original) Zbl 0528.34040 Differ. Equations 19, 426-433 (1983); translation from Differ. Uravn. 19, No. 4, 588-596 (1983). MSC: 34C11 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Equations 19, 426--433 (1983; Zbl 0528.34040); translation from Differ. Uravn. 19, No. 4, 588--596 (1983)
Slyusarchuk, V. E. New theorems on the instability of difference systems according to the first approximation. (Russian) Zbl 0522.34070 Differ. Uravn. 19, No. 5, 906-908 (1983). MSC: 34K20 34D05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Uravn. 19, No. 5, 906--908 (1983; Zbl 0522.34070)
Slyusarchuk, V. E. Some supplements to the theory of stability of systems in the first approximation. (Russian) Zbl 0517.34046 Mat. Zametki 33, No. 4, 595-603 (1983). MSC: 34G10 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Mat. Zametki 33, No. 4, 595--603 (1983; Zbl 0517.34046)
Slyusarchuk, V. E. Bounded solutions of linear functional-differential equations with discontinuous operator coefficients. (Russian) Zbl 0529.34062 Oscillation and stability of solutions of functional-differential equations, Collect. sci. Works, Kiev 1982, 92-100 (1982). MSC: 34K99 34C11 34K25 PDFBibTeX XML
Slyusarchuk, V. E. A statement about instability in the first approximation. (English. Russian original) Zbl 0508.34045 Ukr. Math. J. 34, 198-200 (1982); translation from Ukr. Mat. Zh. 34, 241-244 (1982). MSC: 34G20 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Ukr. Math. J. 34, 198--200 (1982; Zbl 0508.34045); translation from Ukr. Mat. Zh. 34, 241--244 (1982) Full Text: DOI
Slyusarchuk, V. E. Reciprocity of almost periodic \(c\)-continuous functional operators. (Russian) Zbl 0503.34012 Mat. Sb., N. Ser. 116(158), 483-501 (1981). MSC: 34G10 34A55 47E05 34C27 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Mat. Sb., Nov. Ser. 116(158), 483--501 (1981; Zbl 0503.34012) Full Text: EuDML
Slyusarchuk, V. E. On the theory of the stability of systems with respect to the first approximation. (Russian) Zbl 0496.34029 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 9, 27-30 (1981). MSC: 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 9, 27--30 (1981; Zbl 0496.34029)
Slyusarchuk, V. E. Absolute exponential stability of linear differential equations of neutral type in a Banach space. (English) Zbl 0474.34045 Differ. Equations 16, 291-296 (1980). MSC: 34D20 34A30 34G10 34F05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Equations 16, 291--296 (1980; Zbl 0474.34045)
Slyusarchuk, V. E. Non-local theorems about bounded solutions of functional-differential equations with non-Lipschitzean non-linearities. (Russian) Zbl 0463.34044 Investigation of differential and differential-difference equations, Collect. sci. Works, Kiev 1980, 121-130 (1980). MSC: 34K05 34G20 47A55 34K99 34C11 PDFBibTeX XML
Slyusarchuk, V. E. Absolute exponentielle Stabilität linearer Differentialgleichungen neutralen Typs im Banachraum. (Russian) Zbl 0436.34052 Differ. Uravn. 16, 462-469 (1980). MSC: 34F05 34G10 34D20 34A30 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Uravn. 16, 462--469 (1980; Zbl 0436.34052)
Slyusarchuk, V. E. Über die Instabilität von Systemen bezüglich der ersten Approximation. (Russian) Zbl 0436.34046 Differ. Uravn. 16, 760-761 (1980). MSC: 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Uravn. 16, 760--761 (1980; Zbl 0436.34046)
Slyusarchuk, V. E. Strongly absolutely asymptotic stable solutions of linear differential equations with time lag in Banach space. (English) Zbl 0435.34067 Differ. Equations 15, 1152-1156 (1980). MSC: 34K20 34K30 34G10 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Equations 15, 1152--1156 (1980; Zbl 0435.34067)
Slyusarchuk, V. E. Stark absolut asymptotisch stabile Lösungen linearer Differentialgleichungen mit Retardierung im Banachraum. (Russian) Zbl 0419.34074 Differ. Uravn. 15, 1614-1619 (1979). MSC: 34K20 34K30 34G10 34D20 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Uravn. 15, 1614--1619 (1979; Zbl 0419.34074)
Slyusarchuk, V. E. On bounded solutions of nonlinear almost periodic differential-functional equations. (Ukrainian) Zbl 0419.34073 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1979, 615-618 (1979). MSC: 34K99 34C11 34C25 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1979, 615--618 (1979; Zbl 0419.34073)
Slyusarchuk, V. E. Absolute exponential stability of linear differential equations with time lag in Banach space. (English) Zbl 0412.34060 Differ. Equations 14, 1089-1091 (1978). MSC: 34G10 34K20 34D20 58D25 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Equations 14, 1089--1091 (1978; Zbl 0412.34060)
Slyusarchuk, V. E. Problem of instability in the first approximation. (English) Zbl 0408.34050 Math. Notes 23, 398-399 (1978). MSC: 34D20 34G10 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. Notes 23, 398--399 (1978; Zbl 0408.34050) Full Text: DOI
Slyusarchuk, V. E. Estimates of the spectra and the invertibility of functional operators. (English) Zbl 0403.47004 Math. USSR, Sb. 34, 243-258 (1978). MSC: 47A50 47A10 39A10 34K05 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Math. USSR, Sb. 34, 243--258 (1978; Zbl 0403.47004) Full Text: DOI
Slyusarchuk, V. E. Zur Frage über die absolute exponentielle Stabilität linearer Differentialgleichungen retardierten Typs im Banachraum. (Russian) Zbl 0402.34052 Differ. Uravn. 14, 1526-1528 (1978). MSC: 34G10 34K20 34D20 58D25 PDFBibTeX XMLCite \textit{V. E. Slyusarchuk}, Differ. Uravn. 14, 1526--1528 (1978; Zbl 0402.34052)