Bugir, M. K. Conditions for the nonoscillation of solutions to systems of second-order differential equations. (English. Russian original) Zbl 1003.34029 Russ. Math. 44, No. 5, 10-16 (2000); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 5, 12-18 (2000). MSC: 34C10 35B05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Russ. Math. 44, No. 5, 10--16 (2000; Zbl 1003.34029); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 5, 12--18 (2000)
Bugir, M. K. Investigation of the oscillatory properties of solutions to partial differential equations using sphere means. (English. Russian original) Zbl 0967.35036 Dokl. Math. 57, No. 3, 413-415 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 4, 448-450 (1998). MSC: 35J15 35B05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dokl. Math. 57, No. 3, 448--450 (1998; Zbl 0967.35036); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 4, 448--450 (1998)
Bugir, M. K. Estimates for the conditional stability of a two-contour boundary value problem in the disk. (English. Russian original) Zbl 0961.35040 Russ. Math. 42, No. 10, 5-12 (1998); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1998, No. 10, 7-14 (1998). MSC: 35J40 30E25 35B35 PDF BibTeX XML Cite \textit{M. K. Bugir}, Russ. Math. 42, No. 10, 5--12 (1998; Zbl 0961.35040); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1998, No. 10, 7--14 (1998)
Bugir, M. K. On a property of “main solutions” to nonoscillatory systems of second-order differential equations. (Russian) Zbl 0931.34022 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 5, 10-13 (1998). MSC: 34C10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 5, 10--13 (1998; Zbl 0931.34022)
Bugir, M. K. Conditions of the nonoscillation of binomial systems of differential equations. (Ukrainian) Zbl 0937.34028 Ukr. Mat. Zh. 49, No. 6, 836-841 (1997). Reviewer: Valerie Samoilenko (Kyïv) MSC: 34C10 34A30 34C11 PDF BibTeX XML Cite \textit{M. K. Bugir}, Ukr. Mat. Zh. 49, No. 6, 836--841 (1997; Zbl 0937.34028) Full Text: DOI
Bugir, M. K. Conditions of nonoscillations of binomial systems of differential equations. (English. Russian original) Zbl 0940.34018 Ukr. Math. J. 49, No. 6, 935-942 (1997); translation from Ukr. Mat. Zh. 49, No. 6, 836-841 (1997). MSC: 34C10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Ukr. Mat. Zh. 49, No. 6, 1 (1997; Zbl 0940.34018); translation from Ukr. Mat. Zh. 49, No. 6, 836--841 (1997) Full Text: DOI
Bugir, M. K. Many-contour problems for partial differential equations in spaces of constant curvature. (English. Russian original) Zbl 0930.35034 Differ. Equations 33, No. 9, 1299-1302 (1997); translation from Differ. Uravn. 33, No. 9, 1288-1290 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 35C10 58J05 35J40 PDF BibTeX XML Cite \textit{M. K. Bugir}, Differ. Equations 33, No. 9, 1299--1302 (1997; Zbl 0930.35034); translation from Differ. Uravn. 33, No. 9, 1288--1290 (1997)
Bugir, M. K. The function of spherical mean value and the nonoscillatory behaviour of solutions of partial differential equations. (Ukrainian) Zbl 0990.35046 Dopov. Akad. Nauk Ukr. 1997, No. 5, 10-15 (1997). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35J30 35B05 35B50 31B30 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. 1997, No. 5, 10--15 (1997; Zbl 0990.35046)
Bugir, M. K. Disoscillability of solutions to partial differential equations on manifolds of constant curvature and mean value theorems. (English. Russian original) Zbl 0880.35010 Sib. Math. J. 38, No. 5, 871-880 (1997); translation from Sib. Mat. Zh. 38, No. 5, 1008-1017 (1997). Reviewer: N.A.Kudryavtseva (Novosibirsk) MSC: 35B05 31B30 PDF BibTeX XML Cite \textit{M. K. Bugir}, Sib. Math. J. 38, No. 5, 1008--1017 (1997; Zbl 0880.35010); translation from Sib. Mat. Zh. 38, No. 5, 1008--1017 (1997) Full Text: DOI
Bugir, M. K. Remark to an approach to studying oscillating properties of solutions of partial differential equations. (Ukrainian) Zbl 0923.35011 Dopov. Akad. Nauk Ukr. 1996, No. 1, 7-10 (1996). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35B05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. 1996, No. 1, 7--10 (1996; Zbl 0923.35011)
Bugir, M. K. Remark on an approach to studying oscillating properties of solutions of partial differential equations. (Ukrainian) Zbl 0896.35008 Dopov. Akad. Nauk Ukr. 1996, No. 1, 7-10 (1996). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35B05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. 1996, No. 1, 7--10 (1996; Zbl 0896.35008)
Bugir, M. K. Estimates for conditional stability of two-contour boundary value problem for fourth order elliptic partial differential equations. (Russian) Zbl 0886.35054 Ukr. Mat. Zh. 47, No. 10, 1418-1420 (1995). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35J40 31A30 35B45 PDF BibTeX XML Cite \textit{M. K. Bugir}, Ukr. Mat. Zh. 47, No. 10, 1418--1420 (1995; Zbl 0886.35054) Full Text: DOI
Bugir, M. K. Ill-posed boundary value problems for the \(n\)-th order polyharmonic equation. (English. Russian original) Zbl 0842.35026 Russ. Math. 38, No. 10, 16-21 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 10 (389), 19-25 (1994). Reviewer: J.Jaenicke (Braunschweig) MSC: 35J40 35C05 33C10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Russ. Math. 38, No. 10, 16--21 (1994; Zbl 0842.35026); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 10 (389), 19--25 (1994)
Bugir, M. K. On the oscillation of solutions of partial differential equations in three variables. (English) Zbl 1267.35017 J. Sov. Math. 64, No. 5, 1159-1163 (1993); translation from Mat. Metody Fiz.-Mekh. Polya, No. 32, 45-48 (1990). MSC: 35B05 35J05 44A12 PDF BibTeX XML Cite \textit{M. K. Bugir}, J. Sov. Math. 64, No. 5, 1159--1163 (1993; Zbl 1267.35017); translation from Mat. Metody Fiz.-Mekh. Polya, No. 32, 45--48 (1990) Full Text: DOI
Bugir, M. K. The relationship between non-oscillation and boundary value problems for partial equations on constant curvature manifolds. (Russian) Zbl 0900.35026 Dopov. Akad. Nauk Ukr. 1993, No. 10, 5-9 (1993). Reviewer: A.A.Martynyuk (Kyïv) MSC: 35B05 35G15 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. 1993, No. 10, 5--9 (1993; Zbl 0900.35026)
Bugir, M. K. Investigation of properties of nonoscillatory nature of solutions of partial differential equations by the method of separation of variables. (Russian) Zbl 0768.35076 Ukr. Mat. Zh. 44, No. 3, 317-323 (1992). Reviewer: T.A.Dzhangveladze (Tbilisi) MSC: 35R25 35B05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Ukr. Mat. Zh. 44, No. 3, 317--323 (1992; Zbl 0768.35076) Full Text: DOI
Bugir, M. K. Mean value theorems and nonoscillability of solutions of partial differential equations in the spaces \(E^ n\) and \(P^ n\). (English. Russian original) Zbl 0799.35020 Ukr. Math. J. 44, No. 11, 1359-1365 (1992); translation from Ukr. Mat. Zh. 44, No. 11, 1477-1483 (1992). Reviewer: V.Lovicar (Praha) MSC: 35B05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Ukr. Mat. Zh. 44, No. 11, 1477--1483 (1992; Zbl 0799.35020); translation from Ukr. Mat. Zh. 44, No. 11, 1477--1483 (1992) Full Text: DOI
Bugir, M. K. A study of the nonoscillatory character of solutions of partial differential equations by the method of separation of variables. (English. Russian original) Zbl 0787.35116 Ukr. Math. J. 44, No. 3, 278-283 (1992); translation from Ukr. Mat. Zh. 44, No. 3, 317-323 (1992). MSC: 35R25 35B05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Ukr. Math. J. 44, No. 3, 278--283 (1992; Zbl 0787.35116); translation from Ukr. Mat. Zh. 44, No. 3, 317--323 (1992) Full Text: DOI
Bugir, M. K. The connection between the nonoscillatory nature of solutions and ill- posed boundary value problems for fourth-order equations of elliptic type. (English. Russian original) Zbl 0765.35057 Sov. Math., Dokl. 44, No. 1, 269-272 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 5, 1053-1056 (1991). MSC: 35R25 35J40 35G15 PDF BibTeX XML Cite \textit{M. K. Bugir}, Sov. Math., Dokl. 44, No. 1, 269--272 (1991; Zbl 0765.35057); translation from Dokl. Akad. Nauk SSSR 319, No. 5, 1053--1056 (1991)
Bugir, M. K. Oscillation properties of solutions of linear differential equations in spaces of constant curvature. (English. Russian original) Zbl 0722.35007 Differ. Equations 26, No. 11, 1461-1466 (1990); translation from Differ. Uravn. 26, No. 11, 1956-1961 (1990). Reviewer: Hou Zonyi (Shanghai) MSC: 35B05 35J10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Differ. Equations 26, No. 11, 1461--1466 (1990; Zbl 0722.35007); translation from Differ. Uravn. 26, No. 11, 1956--1961 (1990)
Bugir, M. K. Mamman’s theorem for systems of first order differential equations. (Russian. English summary) Zbl 0715.34063 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 9, 9-12 (1990). Reviewer: J.Jarník MSC: 34C10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 9, 9--12 (1990; Zbl 0715.34063)
Bugir, M. K. A remark on oscillation criteria for the solutions of nonlinear differential equations. (English. Russian original) Zbl 0711.35005 Ukr. Math. J. 42, No. 4, 404-409 (1990); translation from Ukr. Mat. Zh. 42, No. 4, 458-464 (1990). Reviewer: M.Čanak MSC: 35B05 35J65 58J10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Ukr. Math. J. 42, No. 4, 404--409 (1990; Zbl 0711.35005); translation from Ukr. Mat. Zh. 42, No. 4, 458--464 (1990) Full Text: DOI
Bugir, M. K. On some properties of non-oscillatory solutions. (Russian) Zbl 0713.34039 Methods for the investigations of differential and integral operators, Collect. Sci. Works, Kiev, 41-45 (1989). MSC: 34C10 PDF BibTeX XML
Bugir, M. K. Oscillation conditions for equations of the form \(L^ ku+c(x,u)=f(x)\). (English. Russian original) Zbl 0701.35008 Sov. Math., Dokl. 39, No. 1, 104-107 (1989); translation from Dokl. Akad. Nauk SSSR 304, No. 3, 538-541 (1989). Reviewer: A.Venkov MSC: 35B05 35J60 PDF BibTeX XML Cite \textit{M. K. Bugir}, Sov. Math., Dokl. 39, No. 1, 104--107 (1989; Zbl 0701.35008); translation from Dokl. Akad. Nauk SSSR 304, No. 3, 538--541 (1989)
Bugir, M. K. Some approach to the investigation of the oscillability of partial differential equations. (Russian. English summary) Zbl 0672.35002 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 3, 9-12 (1988). MSC: 35B05 35A22 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 3, 9--12 (1988; Zbl 0672.35002)
Bugir, M. K. Criteria of stability and boundedness of solutions of second-order and third-order equations in Hilbert spaces. (Russian) Zbl 0536.34037 Mat. Metody Fiz.-Mekh. Polya 19, 16-20 (1984). Reviewer: E.Ihle MSC: 34G10 34D20 34C11 PDF BibTeX XML Cite \textit{M. K. Bugir}, Mat. Metody Fiz.-Mekh. Polya 19, 16--20 (1984; Zbl 0536.34037)
Bugir, M. K. Conditions of the oscillatory character for solutions of systems of second order differential equations. (Russian) Zbl 0513.34040 Analytical methods of nonlinear mechanics, Collect. sci. Works, Kiev 1981, 15-21 (1981). MSC: 34C10 PDF BibTeX XML
Bugir, M. K. Note on local nonoscillation indication for systems of equations. (Ukrainian) Zbl 0447.34033 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1980, No. 6, 10-13 (1980). MSC: 34C10 45J05 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1980, No. 6, 10--13 (1980; Zbl 0447.34033)
Bugir, M. K. Conditions of nonoscillation of solutions for the system of equations y(n)+P(t)y=0. (Ukrainian) Zbl 0377.34024 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 873-876 (1977). MSC: 34C10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 873--876 (1977; Zbl 0377.34024)
Bugir, M. K. Linear factorization of an operator and existence of principal solutions of non-self-adjoint systems of second order differential equations. (Ukrainian) Zbl 0359.34009 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 483-486 (1977). MSC: 34A30 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 483--486 (1977; Zbl 0359.34009)
Bugir, M. K. Nonoscillation of the solutions of systems of strongly elliptical differential equations. (Ukrainian) Zbl 0301.35008 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 101-105 (1975). MSC: 35B99 35B05 35J45 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 101--105 (1975; Zbl 0301.35008)
Bugir, M. K. The decomposition of G. Polya and G. Mammana for a system of equations. (English) Zbl 0294.34024 Differ. Equations 8(1972), 400-401 (1974). MSC: 34C10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Differ. Equations 8, 400--401 (1974; Zbl 0294.34024)
Bugir, M. K. Über das asymptotische Verhalten der Lösungen linearer Differentialgleichungen dritter Ordnung im separablen Hilbertraum. (Ukrainian) Zbl 0271.34081 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1973, 291-294 (1973). MSC: 34A30 34G99 34C10 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1973, 291--294 (1973; Zbl 0271.34081)
Bugir, M. K. Über die Entwicklung von G. Polya und G. Mammana für ein Gleichungssystem. (Russian) Zbl 0299.34024 Differ. Uravn. 8, 529-530 (1972). MSC: 34B10 34A30 PDF BibTeX XML Cite \textit{M. K. Bugir}, Differ. Uravn. 8, 529--530 (1972; Zbl 0299.34024)
Bugir, M. K. Extension of the maman type theorems to the case of systems of differential equations. (Ukrainian) Zbl 0254.34019 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 198-202 (1972). MSC: 34C10 34B10 34A30 PDF BibTeX XML Cite \textit{M. K. Bugir}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 198--202 (1972; Zbl 0254.34019)