Lukashevich, N. A.; Orlov, V. N.; Samodurov, A. A. Construction of an approximate solution in the neighborhood of a moving singular point for the second Painlevé equation. (Russian. English summary) Zbl 1049.34111 Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2002, No. 1, 79-85, 116 (2002). MSC: 34M55 34M35 PDF BibTeX XML Cite \textit{N. A. Lukashevich} et al., Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2002, No. 1, 79--85, 116 (2002; Zbl 1049.34111)
Lukashevich, N. A. Second order linear differential equations of Fuchsian type with four singularities. (English) Zbl 1049.34107 Nonlinear Oscil. 4, No. 3, 308-315 (2001). Reviewer: R. K. Azimov (Andizhan) MSC: 34M35 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Nonlinear Oscil. 4, No. 3, 308--315 (2001; Zbl 1049.34107)
Lukashevich, N. A.; Chichurin, A. V. To the theory of geodesic lines equation. (Russian) Zbl 1058.53507 Nelinijni Kolyvannya 2, No. 1, 30-35 (1999). Reviewer: A. Ju. Obolenskij (Kyïv) MSC: 53C22 34A30 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{A. V. Chichurin}, Neliniĭni Kolyvannya 2, No. 1, 30--35 (1999; Zbl 1058.53507)
Lukashevich, N. A. On third-order linear equations. (English. Russian original) Zbl 1020.34004 Differ. Equations 35, No. 10, 1384-1390 (1999); translation from Differ. Uravn. 35, No. 10, 1366-1371 (1999). MSC: 34A25 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 35, No. 10, 1384--1390 (1999; Zbl 1020.34004); translation from Differ. Uravn. 35, No. 10, 1366--1371 (1999)
Lukashevich, N. A. Abel special equations. (English. Russian original) Zbl 1075.34502 Differ. Equations 34, No. 2, 287-290 (1998); translation from Differ. Uravn. 34, No. 2, 282-284 (1998). MSC: 34A25 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 34, No. 2, 287--290 (1998; Zbl 1075.34502); translation from Differ. Uravn. 34, No. 2, 282--284 (1998)
Lukashevich, N. A.; Martynov, I. P. Riccati equation and special third-order systems without movable critical points. (English. Russian original) Zbl 0911.34028 Differ. Equations 33, No. 5, 710-712 (1997); translation from Differ. Uravn. 33, No. 5, 707-708 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34A34 34B30 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{I. P. Martynov}, Differ. Equations 33, No. 5, 710--712 (1997; Zbl 0911.34028); translation from Differ. Uravn. 33, No. 5, 707--708 (1997)
Lukashevich, N. A. Simplest \(P\)-type differential equations of third order. (English. Russian original) Zbl 0861.34011 Differ. Equations 31, No. 6, 894-900 (1995); translation from Differ. Uravn. 31, No. 6, 955-961 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34A34 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 31, No. 6, 894--900 (1995; Zbl 0861.34011); translation from Differ. Uravn. 31, No. 6, 955--961 (1995)
Lukashevich, N. A.; Chichurin, A. V. On a transformation of the Painlevé III and V equations. (Russian. English summary) Zbl 0845.34009 Izv. Akad. Nauk Belarusi, Ser. Fiz.-Mat. Nauk 1995, No. 2, 9-12 (1995). MSC: 34M55 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{A. V. Chichurin}, Izv. Akad. Nauk Belarusi, Ser. Fiz.-Mat. Nauk 1995, No. 2, 9--12 (1995; Zbl 0845.34009)
Lukashevich, N. A. To a theory of the Chasy equation. (English. Russian original) Zbl 0794.34008 Differ. Equations 29, No. 2, 293-297 (1993); translation from Differ. Uravn. 29, No. 2, 353-357 (1993). Reviewer: F.Brauer (Madison) MSC: 34M99 34A25 35A20 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 29, No. 2, 293--297 (1992; Zbl 0794.34008); translation from Differ. Uravn. 29, No. 2, 353--357 (1993)
Sidorevich, M. P.; Lukashevich, N. A. A nonlinear third-order differential equation. (English. Russian original) Zbl 0719.34067 Differ. Equations 26, No. 4, 450-453 (1990); translation from Differ. Uravn. 26, No. 4, 618-621 (1990). MSC: 34C20 34A34 PDF BibTeX XML Cite \textit{M. P. Sidorevich} and \textit{N. A. Lukashevich}, Differ. Equations 26, No. 4, 450--453 (1990; Zbl 0719.34067); translation from Differ. Uravn. 26, No. 4, 618--621 (1990)
Sidorevich, M. P.; Lukashevich, N. A. On a nonlinear third order differential equation. (Russian) Zbl 0697.34042 Differ. Uravn. 26, No. 4, 618-621 (1990). Reviewer: J.Appell MSC: 34C20 34A34 PDF BibTeX XML Cite \textit{M. P. Sidorevich} and \textit{N. A. Lukashevich}, Differ. Uravn. 26, No. 4, 618--621 (1990; Zbl 0697.34042)
Gromak, V. I.; Lukashevich, N. A. Analytic properties of solutions of Painlevé equations. (Analiticheskie svojstva reshenij uravnenij Penleve.) (Russian. English summary) Zbl 0752.34003 Minsk: Izdatel’stvo Universitetskoe. 160 p. (1990). Reviewer: V.A.Tkachenko (Khar’kov) MSC: 34M55 34-02 34A05 30-02 33-02 PDF BibTeX XML Cite \textit{V. I. Gromak} and \textit{N. A. Lukashevich}, Analiticheskie svojstva reshenij uravnenij Penleve (Russian). Minsk: Izdatel'stvo Universitetskoe (1990; Zbl 0752.34003)
Kozulin, A. V.; Lukashevich, N. A. Third-order differential equations of a special form. (English. Russian original) Zbl 0679.34030 Differ. Equations 24, No. 12, 1387-1392 (1988); translation from Differ. Uravn. 24, No. 12, 2064-2069 (1988). MSC: 34C05 PDF BibTeX XML Cite \textit{A. V. Kozulin} and \textit{N. A. Lukashevich}, Differ. Equations 24, No. 12, 1387--1392 (1988; Zbl 0679.34030); translation from Differ. Uravn. 24, No. 12, 2064--2069 (1988)
Lukashevich, N. A.; Deniskovets, A. A.; Nemets, V. S. Algebraic differential equations with a maximal number of polynomial solutions of given structure. (Russian) Zbl 0668.34008 Differ. Uravn. 24, No. 12, 2172-2174 (1988). Reviewer: J.H.Tian MSC: 34M99 34C99 PDF BibTeX XML Cite \textit{N. A. Lukashevich} et al., Differ. Uravn. 24, No. 12, 2172--2174 (1988; Zbl 0668.34008)
Kozulin, A. V.; Lukashevich, N. A. Third order differential equations of special form. (Russian) Zbl 0666.34036 Differ. Uravn. 24, No. 12, 2064-2069 (1988). Reviewer: J.Tian MSC: 34C05 PDF BibTeX XML Cite \textit{A. V. Kozulin} and \textit{N. A. Lukashevich}, Differ. Uravn. 24, No. 12, 2064--2069 (1988; Zbl 0666.34036)
Amel’kin, V. V.; Lukashevich, N. A.; Sadovskiĭ, A. P. Nonlinear oscillations in systems of second order. (Нелинейные колебания в системах второго порядка.) (Russian) Zbl 0526.70024 Minsk: Izdatel’stvo BGU im. V. I. Lenina. 208 p. R. 1.90 (1982). Reviewer: M. E. Mayer MSC: 70Kxx 70-02 34-02 34D20 PDF BibTeX XML
Gromak, V. I.; Lukashevich, N. A. Special classes of solutions of Painlevé’s equations. (English. Russian original) Zbl 0526.34002 Differ. Equations 18, 317-326 (1982); translation from Differ. Uravn. 18, 419-429 (1982). Reviewer: Ye Yanqian (Nanjing) MSC: 34-02 34M55 35Q53 35Q55 34A12 34B30 34A25 34C11 PDF BibTeX XML Cite \textit{V. I. Gromak} and \textit{N. A. Lukashevich}, Differ. Equations 18, 317--326 (1982; Zbl 0526.34002); translation from Differ. Uravn. 18, 419--429 (1982)
Lukashevich, N. A. Equations of third order without moving critical points (m.c.p.). (Russian) Zbl 0508.34021 Differ. Uravn. 18, 778-785 (1982). Reviewer: A. Reinfelds MSC: 34C05 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Uravn. 18, 778--785 (1982; Zbl 0508.34021)
Lukashevich, N. A. Third-order equations without movable critical points (mcp). (English. Russian original) Zbl 0507.34014 Differ. Equations 18, 557-563 (1982). MSC: 34C05 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 18, 557--563 (1982; Zbl 0507.34014)
Lukashevich, N. A.; Mkrtumyan, R. R. Linear equations of second order with special particular solutions. (Russian) Zbl 0406.34013 Dokl. Akad. Nauk BSSR 23, 488-491 (1979). MSC: 34A30 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{R. R. Mkrtumyan}, Dokl. Akad. Nauk BSSR 23, 488--491 (1979; Zbl 0406.34013)
Lukashevich, N. A.; Samodurov, A. A. Integrability of a general Abel equation in terms of solutions of second- order linear equations. (English) Zbl 0395.34002 Differ. Equations 13, 589-592 (1977). MSC: 34A05 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{A. A. Samodurov}, Differ. Equations 13, 589--592 (1977; Zbl 0395.34002)
Lukashevich, N. A.; Samodurov, A. A. Integrabilität einer abelscher Gleichungen von allgemeiner Form durch die Lösungsfunktionen linearer Gleichungen zweiter Ordnung. (Russian) Zbl 0354.34003 Differ. Uravn. 13, 859-863 (1977). MSC: 34A05 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{A. A. Samodurov}, Differ. Uravn. 13, 859--863 (1977; Zbl 0354.34003)
Amel’kin, V. V.; Lukashevich, N. A. Tests for a center and its isochronicity. (English) Zbl 0316.34026 Differ. Equations 10(1974), 444-448 (1975). MSC: 34C05 PDF BibTeX XML Cite \textit{V. V. Amel'kin} and \textit{N. A. Lukashevich}, Differ. Equations 10, 444--448 (1975; Zbl 0316.34026)
Lukashevich, N. A.; Matatov, V. I. Second-order systems without moving critical singularities. (English) Zbl 0302.34033 Differ. Equations 9(1973), 344-348 (1975). MSC: 34C05 34M35 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{V. I. Matatov}, Differ. Equations 9, 344--348 (1975; Zbl 0302.34033)
Amel’kin, V. V.; Lukashevich, N. A. Existenzkriterien eines Wirbelpunktes und seine isochrone Eigenschaft. (Russian) Zbl 0302.34028 Differ. Uravn. 10, 585-590 (1974). MSC: 34C05 PDF BibTeX XML Cite \textit{V. V. Amel'kin} and \textit{N. A. Lukashevich}, Differ. Uravn. 10, 585--590 (1974; Zbl 0302.34028)
Lukashevich, N. A. On the theory of Painleve’s sixth equation. (English. Russian original) Zbl 0299.34010 Differ. Equations 8(1972), 1081-1084 (1974); translation from Differ. Uravn 8, 1404-1408 (1972). MSC: 34M55 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 8, 1081--1084 (1974; Zbl 0299.34010); translation from Differ. Uravn 8, 1404--1408 (1972)
Kolesnikova, N. S.; Lukashevich, N. A. On a class of third order differential equations with fixed critical singularities. (English) Zbl 0289.34010 Differ. Equations 8(1972), 1615-1619 (1974). MSC: 34M35 PDF BibTeX XML Cite \textit{N. S. Kolesnikova} and \textit{N. A. Lukashevich}, Differ. Equations 8, 1615--1619 (1974; Zbl 0289.34010)
Kolesnikova, N. S.; Lukashevich, N. A. On sufficient conditions for the existence of solutions with fixed critical singular point for first-order equations. (English) Zbl 0289.34009 Differ. Equations 8(1972), 1348-1354 (1974). MSC: 34M99 PDF BibTeX XML Cite \textit{N. S. Kolesnikova} and \textit{N. A. Lukashevich}, Differ. Equations 8, 1348--1354 (1974; Zbl 0289.34009)
Lukashevich, N. A.; Matatov, V. I. Systeme zweiter Ordnung ohne hebbare kritische singuläre Punkte. (Russian) Zbl 0276.34029 Differ. Uravn. 9, 449-455 (1973). MSC: 34C05 34M99 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{V. I. Matatov}, Differ. Uravn. 9, 449--455 (1973; Zbl 0276.34029)
Lukashevich, N. A. The second Painleve equation. (English) Zbl 0271.34011 Differ. Equations 7(1971), 853-854 (1973). MSC: 34M55 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 7, 853--854 (1973; Zbl 0271.34011)
Amel’kin, V. V.; Lukashevich, N. A. Periods of solutions of certain autonomous systems. (English) Zbl 0265.34047 Differ. Equations 6 (1970), 1605-1609 (1973). MSC: 34C25 PDF BibTeX XML Cite \textit{V. V. Amel'kin} and \textit{N. A. Lukashevich}, Differ. Equations 6, 1605--1609 (1973; Zbl 0265.34047)
Lukashevich, N. A. The theory of Painleves equations. (English) Zbl 0248.34005 Differ. Equations 6 (1970), 329-333 (1973). MSC: 34M99 34A05 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 6, 329--333 (1973; Zbl 0248.34005)
Kolesnikova, N. S.; Lukashevich, N. A. Über eine Klasse von Differentialgleichungen dritter Ordnung mit kritischen singulären Fixpunkten. (Russian) Zbl 0259.34006 Differ. Uravn. 8, 2082-2086 (1972). MSC: 34M99 PDF BibTeX XML Cite \textit{N. S. Kolesnikova} and \textit{N. A. Lukashevich}, Differ. Uravn. 8, 2082--2086 (1972; Zbl 0259.34006)
Kolesnikova, N. S.; Lukashevich, N. A. Über hinreichende Bedingungen für die Existenz von Lösungen mit unbeweglichen kritischen singulären Punkten für Gleichungen erster Ordnung. (Russian) Zbl 0254.34009 Differ. Uravn. 8, 1753-1760 (1972). MSC: 34M99 PDF BibTeX XML Cite \textit{N. S. Kolesnikova} and \textit{N. A. Lukashevich}, Differ. Uravn. 8, 1753--1760 (1972; Zbl 0254.34009)
Lukashevich, N. A. Functions defined by a system of differential equations. (English) Zbl 0249.34019 Differ. Equations 5 (1969), 310-312 (1972). MSC: 34C05 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 5, 310--312 (1972; Zbl 0249.34019)
Lukashevich, N. A. Solutions of the fifth equation of Painleve. (English) Zbl 0236.34001 Differ. Equations 4 (1968), 732-735 (1972). MSC: 34A05 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 4, 732--735 (1972; Zbl 0236.34001)
Lukashevich, N. A. On the theory of the third Painleve equation. (English) Zbl 0235.34002 Differ. Equations 3 (1967), 994-999 (1972). MSC: 34A09 34M55 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 3, 994--999 (1972; Zbl 0235.34002)
Lukashevich, N. A. The second Painlevé equation. (Russian) Zbl 0226.34004 Differ. Uravn. 7, 1124-1125 (1971). MSC: 34M55 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Uravn. 7, 1124--1125 (1971; Zbl 0226.34004)
Lukashevich, N. A. Theory of the fourth Painleve equation. (English) Zbl 0225.34001 Differ. Equations 3 (1967), 395-399 (1971). MSC: 34A05 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Differ. Equations 3, 395--399 (1971; Zbl 0225.34001)
Lukashevich, N. A.; Yablonskij, A. I. On a set of solutions of the sixth Painlevé equation. (English) Zbl 0215.14002 Differ. Equations 3(1967), 264-266 (1971). MSC: 34A34 34A26 PDF BibTeX XML Cite \textit{N. A. Lukashevich} and \textit{A. I. Yablonskij}, Differ. Equations 3, 264--266 (1971; Zbl 0215.14002)
Lukashevich, N. A. On closed non-periodic solutions of differential equations. (Russian) Zbl 0235.34060 Dokl. Akad. Nauk BSSR 4, 91-94 (1960). MSC: 34C05 34C10 PDF BibTeX XML Cite \textit{N. A. Lukashevich}, Dokl. Akad. Nauk BSSR 4, 91--94 (1960; Zbl 0235.34060)