Makarov, V. L.; Mayko, N. V.; Ryabichev, V. L. Realization of the exact three-point finite-difference schemes for the system of second-order ordinary differential equations. (English. Ukrainian original) Zbl 07730053 Ukr. Math. J. 75, No. 1, 80-106 (2023); translation from Ukr. Mat. Zh. 75, No. 1, 72-95 (2023). MSC: 65Lxx 34Bxx 65-XX PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Math. J. 75, No. 1, 80--106 (2023; Zbl 07730053); translation from Ukr. Mat. Zh. 75, No. 1, 72--95 (2023) Full Text: DOI
Gavrilyuk, I. P.; Makarov, V. L. Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative. (English) Zbl 1511.34005 Ukr. Math. J. 74, No. 5, 709-725 (2022) and Ukr. Mat. Zh. 74, No. 5, 620-634 (2022). Reviewer: Ismail Huseynov (Mersin) MSC: 34A08 34G10 33E12 34A25 41A30 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Ukr. Math. J. 74, No. 5, 709--725 (2022; Zbl 1511.34005) Full Text: DOI
Vasylyk, V. B.; Gavrilyuk, I. P.; Makarov, V. L. Exponentially convergent method for the approximation of a differential equation with fractional derivative and unbounded operator coefficient in a Banach space. (English. Ukrainian original) Zbl 1500.65090 Ukr. Math. J. 74, No. 2, 171-185 (2022); translation from Ukr. Mat. Zh. 74, No. 2, 151-163 (2022). MSC: 65M99 65J08 60J65 35K05 35B45 26A33 35R11 PDFBibTeX XMLCite \textit{V. B. Vasylyk} et al., Ukr. Math. J. 74, No. 2, 171--185 (2022; Zbl 1500.65090); translation from Ukr. Mat. Zh. 74, No. 2, 151--163 (2022) Full Text: DOI
Makarov, V. L. A new approach to the construction of generalized classical polynomials. (English. Ukrainian original) Zbl 1494.33008 Ukr. Math. J. 73, No. 6, 963-976 (2021); translation from Ukr. Mat. Zh. 73, No. 6, 827-838 (2021). MSC: 33C45 PDFBibTeX XMLCite \textit{V. L. Makarov}, Ukr. Math. J. 73, No. 6, 963--976 (2021; Zbl 1494.33008); translation from Ukr. Mat. Zh. 73, No. 6, 827--838 (2021) Full Text: DOI
Lukovs’kiy, I. O.; Makarov, V. L.; Perestyuk, M. O.; Boichuk, O. A.; Parasyuk, I. O.; Antonyuk, O. V.; Tkachenko, V. I.; Petryshyn, R. I.; Prats’ovytyi, M. V.; Stanzhyts’kyi, O. M.; Ronto, M. I. Academician Anatolii Mykhailovych Samoilenko (02.01.1938–04.12.2020). (English. Ukrainian original) Zbl 1470.01027 Ukr. Math. J. 73, No. 1, 1-5 (2021); translation from Ukr. Mat. Zh. 73, No. 1, 3-8 (2021). MSC: 01A70 PDFBibTeX XMLCite \textit{I. O. Lukovs'kiy} et al., Ukr. Math. J. 73, No. 1, 1--5 (2021; Zbl 1470.01027); translation from Ukr. Mat. Zh. 73, No. 1, 3--8 (2021) Full Text: DOI
Makarov, V. L.; Khlobystov, V. V.; Kashpur, O. F. Operator interpolation and systems of linear equations and inequalities in Euclidean spaces. (English. Ukrainian original) Zbl 1466.15003 Ukr. Math. J. 72, No. 11, 1758-1770 (2021); translation from Ukr. Mat. Zh. 72, No. 11, 1524-1534 (2020). MSC: 15A06 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Math. J. 72, No. 11, 1758--1770 (2021; Zbl 1466.15003); translation from Ukr. Mat. Zh. 72, No. 11, 1524--1534 (2020) Full Text: DOI
Makarov, V. L.; Romaniuk, N. M.; Bandyrskii, B. I. Generalization of resonant equations for the Laguerre- and Legendre-type polynomials to equations of the fourth order. (English. Ukrainian original) Zbl 07622994 Ukr. Math. J. 71, No. 11, 1751-1762 (2020); translation from Ukr. Mat. Zh. 71, No. 11, 1529-1538 (2019). MSC: 65Lxx 34Bxx 34Axx PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Math. J. 71, No. 11, 1751--1762 (2020; Zbl 07622994); translation from Ukr. Mat. Zh. 71, No. 11, 1529--1538 (2019) Full Text: DOI
Boichuk, O. A.; Makarov, V. L.; Feruk, V. A. A criterion of solvability of resonant equations and construction of their solutions. (English. Ukrainian original) Zbl 07622978 Ukr. Math. J. 71, No. 10, 1510-1521 (2020); translation from Ukr. Mat. Zh. 71, No. 10, 1321-1330 (2019). MSC: 47-XX 34Axx 34Bxx PDFBibTeX XMLCite \textit{O. A. Boichuk} et al., Ukr. Math. J. 71, No. 10, 1510--1521 (2020; Zbl 07622978); translation from Ukr. Mat. Zh. 71, No. 10, 1321--1330 (2019) Full Text: DOI
Gavrilyuk, I. P.; Makarov, V. L. Method of fictitious domains and homotopy as a new alternative to multidimensional partial differential equations in domains of any shape. (English. Ukrainian original) Zbl 1453.65434 Ukr. Math. J. 72, No. 2, 211-231 (2020); translation from Ukr. Mat. Zh. 72, No. 2, 191-208 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 65N99 65N85 65N50 65N12 PDFBibTeX XMLCite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Ukr. Math. J. 72, No. 2, 211--231 (2020; Zbl 1453.65434); translation from Ukr. Mat. Zh. 72, No. 2, 191--208 (2020) Full Text: DOI
Gavrilyuk, I.; Makarov, V. Resonant equations with classical orthogonal polynomials. II. (English) Zbl 1441.34049 Ukr. Math. J. 71, No. 4, 519-536 (2019) and Ukr. Mat. Zh. 71, No. 4, 455-470 (2019). MSC: 34C15 34A05 34A45 34B09 33C45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} and \textit{V. Makarov}, Ukr. Math. J. 71, No. 4, 519--536 (2019; Zbl 1441.34049) Full Text: DOI
Gavrilyuk, I.; Makarov, V. Resonant equations with classical orthogonal polynomials. I. (English) Zbl 1437.34043 Ukr. Math. J. 71, No. 2, 215-236 (2019) and Ukr. Mat. Zh. 71, No. 2, 190-209 (2019). MSC: 34C15 34A05 34A45 34B09 33C45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} and \textit{V. Makarov}, Ukr. Math. J. 71, No. 2, 215--236 (2019; Zbl 1437.34043) Full Text: DOI
Makarov, V. L. Exact and approximate solutions of spectral problems for the Schrödinger operator on \((-\infty, \infty)\) with polynomial potential. (English. Ukrainian original) Zbl 1432.65108 Ukr. Math. J. 70, No. 1, 84-100 (2018); translation from Ukr. Mat. Zh. 70, No. 1, 79-93 (2018). MSC: 65L15 34L40 34L15 34L16 PDFBibTeX XMLCite \textit{V. L. Makarov}, Ukr. Math. J. 70, No. 1, 84--100 (2018; Zbl 1432.65108); translation from Ukr. Mat. Zh. 70, No. 1, 79--93 (2018) Full Text: DOI
Berezans’kyi, Yu. M.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Marchenko, V. O.; Pastur, L. A.; Perestyuk, M. O.; Khruslov, E. Ya.; Sharkovs’kyi, O. M.; Boichuk, O. A.; Hutlyans’kyi, V. Ya.; Kochubei, A. N.; Kushnir, R. M.; Nikitin, A. H.; Portenko, M. I.; Antonyuk, O. V.; Parasyuk, I. O.; Ronto, M. I.; Tkachenko, V. I.; Trofimchuk, S. I. Anatolii Mykhailovych Samoilenko (on his 80th birthday). (English. Ukrainian original) Zbl 1419.01007 Ukr. Math. J. 70, No. 1, 1-4 (2018); translation from Ukr. Mat. Zh. 70, No. 1, 3-6 (2018). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyi} et al., Ukr. Math. J. 70, No. 1, 1--4 (2018; Zbl 1419.01007); translation from Ukr. Mat. Zh. 70, No. 1, 3--6 (2018) Full Text: DOI
Samoilenko, A. M.; Berezans’kyi, Yu. M.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Perestyuk, M. O.; Sharkovs’kyi, O. M.; Boichuk, O. A.; Nikitin, A. H.; Parasyuk, I. O. Yurii Oleksiiovych Mitropol’skii (03.01.1917–14.06.2008), outstanding mathematician and mechanician (on the 100th anniversary of his birth). (English. Ukrainian original) Zbl 1457.01022 Ukr. Math. J. 69, No. 1, 161-172 (2017); translation from Ukr. Mat. Zh. 69, No. 1, 132-144 (2017). MSC: 01A70 PDFBibTeX XMLCite \textit{A. M. Samoilenko} et al., Ukr. Math. J. 69, No. 1, 161--172 (2017; Zbl 1457.01022); translation from Ukr. Mat. Zh. 69, No. 1, 132--144 (2017) Full Text: DOI
Vasilik, V. B.; Makarov, V. L. Exponentially convergent method for an abstract nonlocal problem with integral nonlinearity. (English. Ukrainian original) Zbl 1490.65097 Ukr. Math. J. 68, No. 12, 1837-1848 (2017); translation from Ukr. Mat. Zh. 68, No. 12, 1587-1597 (2016). MSC: 65J08 34B10 34G10 PDFBibTeX XMLCite \textit{V. B. Vasilik} and \textit{V. L. Makarov}, Ukr. Math. J. 68, No. 12, 1837--1848 (2017; Zbl 1490.65097); translation from Ukr. Mat. Zh. 68, No. 12, 1587--1597 (2016) Full Text: DOI
Vasylyk, V. B.; Makarov, V. L. Exponentially convergent method for the first-order differential equation in a Banach space with integral nonlocal condition. (English. Ukrainian original) Zbl 1359.34023 Ukr. Math. J. 66, No. 8, 1152-1164 (2015); translation from Ukr. Mat. Zh. 66, No. 8, 1029-1040 (2014). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A45 34G10 34B10 PDFBibTeX XMLCite \textit{V. B. Vasylyk} and \textit{V. L. Makarov}, Ukr. Math. J. 66, No. 8, 1152--1164 (2015; Zbl 1359.34023); translation from Ukr. Mat. Zh. 66, No. 8, 1029--1040 (2014) Full Text: DOI
Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. Anatolii Mykhailovych Samoilenko (on his 75th birthday). (English. Ukrainian original) Zbl 1275.01007 Ukr. Math. J. 65, No. 1, 1-4 (2013); translation from Ukr. Mat. Zh. 65, No. 1, 3-6 (2013). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyi} et al., Ukr. Math. J. 65, No. 1, 1--4 (2013; Zbl 1275.01007); translation from Ukr. Mat. Zh. 65, No. 1, 3--6 (2013) Full Text: DOI
Makarov, V. L.; Dragunov, D. V.; Sember, D. A. FD-method for solving the nonlinear Klein-Gordon equation. (English) Zbl 1277.65072 Ukr. Math. J. 64, No. 10, 1586-1609 (2013); translation from Ukr. Mat. Zh. 64, No. 10, 1394-1415 (2012). Reviewer: Petr Sváček (Praha) MSC: 65M06 35Q35 65M12 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Math. J. 64, No. 10, 1586--1609 (2013; Zbl 1277.65072); translation from Ukr. Mat. Zh. 64, No. 10, 1394--1415 (2012) Full Text: DOI
Makarov, V. L.; Demkiv, I. I. Approximation of the Urysohn operator by operator polynomials of Stancu type. (English. Russian original) Zbl 1263.41015 Ukr. Math. J. 64, No. 3, 356-386 (2012); translation from Ukr. Mat. Zh. 64, No. 3, 318-343 (2012). Reviewer: Vladimir V. Peller (East Lansing) MSC: 41A36 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{I. I. Demkiv}, Ukr. Math. J. 64, No. 3, 356--386 (2012; Zbl 1263.41015); translation from Ukr. Mat. Zh. 64, No. 3, 318--343 (2012) Full Text: DOI Link
Mitropol’skii, Yu. A.; Samoilenko, A. M.; Lukovs’kyi, I. O.; Makarov, V. L.; Motornyi, V. P.; Konovalov, V. M.; Shevchuk, I. O.; Zaderei, P. V.; Romanyuk, A. S.; Romanyuk, V. S.; Rukasov, V. I.; Serdyuk, A. S. Oleksandr Ivanovych Stepanets (On his 60th birthday). (Ukrainian, English) Zbl 1074.01546 Ukr. Math. J. 54, No. 5, 579-580 (2002); translation in Ukr. Math. J. 54, No. 5, 711-712 (2002). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skii} et al., Ukr. Math. J. 54, No. 5, 579--580 (2002; Zbl 1074.01546); translation in Ukr. Math. J. 54, No. 5, 711--712 (2002) Full Text: DOI
Makarov, V. L.; Khlobystov, V. V. General structure of interpolational functional polynomials. (English. Russian original) Zbl 0786.41005 Ukr. Math. J. 43, No. 10, 1264-1269 (1991); translation from Ukr. Mat. Zh. 43, No. 10, 1361-1368 (1991). MSC: 41A05 41A10 41A65 60K99 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{V. V. Khlobystov}, Ukr. Math. J. 43, No. 10, 1264--1269 (1991; Zbl 0786.41005); translation from Ukr. Mat. Zh. 43, No. 10, 1361--1368 (1991) Full Text: DOI
Vojtsekhovskij, S. A.; Makarov, V. L.; Shablij, T. G. Estimation of the convergence rate of difference solutions to generalized solutions of the Dirichlet problem for the Helmholtz equation of class \(\overset\circ W^ 1_ 2(\Omega)\) in a convex domain. (English. Russian original) Zbl 0607.65059 Ukr. Math. J. 38, 88-90 (1986); translation from Ukr. Mat. Zh. 38, No. 1, 98-101 (1986). MSC: 65N12 65N06 35J05 PDFBibTeX XMLCite \textit{S. A. Vojtsekhovskij} et al., Ukr. Math. J. 38, 88--90 (1986; Zbl 0607.65059); translation from Ukr. Mat. Zh. 38, No. 1, 98--101 (1986) Full Text: DOI
Makarov, V. L.; Burkovskaya, V. L. Estimate of the convergence of the method of straight lines for equations of parabolic type. (English. Russian original) Zbl 0606.65080 Ukr. Math. J. 38, 149-153 (1986); translation from Ukr. Mat. Zh. 38, No. 2, 169-173 (1986). Reviewer: F.v.Finckenstein MSC: 65N40 65N15 35K20 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{V. L. Burkovskaya}, Ukr. Math. J. 38, 149--153 (1986; Zbl 0606.65080); translation from Ukr. Mat. Zh. 38, No. 2, 169--173 (1986) Full Text: DOI
Makarov, V. L.; Kulyev, D. T. Straight-line method for a quasilinear equation of parabolic type with nonclassical boundary condition. (English. Russian original) Zbl 0576.35069 Ukr. Math. J. 37, 35-41 (1985); translation from Ukr. Mat. Zh. 37, No. 1, 42-48 (1985). Reviewer: T.A.Dzhangveladze MSC: 35K60 35A35 35K20 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{D. T. Kulyev}, Ukr. Math. J. 37, 35--41 (1985; Zbl 0576.35069); translation from Ukr. Mat. Zh. 37, No. 1, 42--48 (1985) Full Text: DOI
Klunnik, A. A.; Makarov, V. L. Convergence of the interpolation process for an \(x^ 2\)-analytic function. (English) Zbl 0528.30039 Ukr. Math. J. 35, 130-134 (1983). MSC: 30G20 30E10 PDFBibTeX XMLCite \textit{A. A. Klunnik} and \textit{V. L. Makarov}, Ukr. Math. J. 35, 130--134 (1983; Zbl 0528.30039) Full Text: DOI
Lyashko, I. I.; Makarov, V. L.; Shmanenko, T. L. Algorithmic aspects of the method of summary representations. (English) Zbl 0458.35007 Ukr. Math. J. 32, 357-362 (1981). MSC: 35A35 35A25 PDFBibTeX XMLCite \textit{I. I. Lyashko} et al., Ukr. Math. J. 32, 357--362 (1981; Zbl 0458.35007) Full Text: DOI
Makarov, V. L.; Burkovskaya, V. L.; Klunnik, A. A. Interpolation of Hermite type in a class of \(x^\alpha\)-harmonic functions of given smoothness. (English) Zbl 0431.31006 Ukr. Math. J. 31, 244-246 (1980). MSC: 31C05 31B05 31C20 31B35 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Math. J. 31, 244--246 (1980; Zbl 0431.31006) Full Text: DOI
Makarov, V. L. Bounds on the zeros of a certain determinant whose elements are Bessel functions of the first and second kinds. (English) Zbl 0253.33010 Ukr. Math. J. 24(1972), 206-210 (1973). MSC: 33C10 15A15 PDFBibTeX XMLCite \textit{V. L. Makarov}, Ukr. Math. J. 24, 206--210 (1973; Zbl 0253.33010) Full Text: DOI