An oscillation criterion for a canonical form of third order linear differential equations
Tryhuk, Václav
Archivum Mathematicum, Tome 013 (1977), p. 175-180 / Harvested from Czech Digital Mathematics Library
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Publié le : 1977-01-01
Classification:  34C10 
@article{106974,
     author = {V\'aclav Tryhuk},
     title = {An oscillation criterion for a canonical form of third order linear differential equations},
     journal = {Archivum Mathematicum},
     volume = {013},
     year = {1977},
     pages = {175-180},
     zbl = {0384.34022},
     mrnumber = {0481261},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106974}
}

Tryhuk, Václav. An oscillation criterion for a canonical form of third order linear differential equations. Archivum Mathematicum, Tome 013 (1977) pp. 175-180. http://gdmltest.u-ga.fr/item/106974/

Greguš M. Oszillatorische Eigenschaften der Lösungen der linear Differentialgleichungen dritter Ordnung $y''' + 2Ay' + (A' + b)y = 0$, wo $A = A(x) \leq 0$ ist, Czech. Math. J., 9 (84) (1959), 416-428. (1959) | MR 0111888

Greguš M. Über einige Eigenschaften der Lösungen der Differentialgleichungen $y'" + 2Ay' + (A' + b)y = 0, A \leq 0$, Czech. Math. J., 11 (86) (1961), 106-114. (1961) | MR 0131028

|3] Hanan M. Oscillation criteria for third-order linear differential equation, Pacif. J. Math., 11 (1961), 914-944. (1961) | MR 0145160

Lazer A. C The behavior of solutions of the differential equation $y''' + p(x) y' + q(x) y = 0$, Pacif. J. Math., 17 (1966), 435-465. (1966) | MR 0193332 | Zbl 0143.31501

Moravský L. Einige oszillatorische und asymptotische Eigenschaften der Lösungen der Differentialgleichung $y''' + p(x) y" + 2A(x) y' + (A'(x) + b(x)) y = 0$, Acta F. R. N. Univ. Comen.-Mathematica, 16 (1967). (1967) | MR 0240390

Neuman F. Geometrical approach to linear differential equations of the n-th order, Rend. di Matem., 5 (1972), 579-602, (1972) | MR 0324141 | Zbl 0257.34029

Neuman F. Oscillation in linear differential equations, Proceedings of Equadiff III, Brno 1972, 119-125. (1972) | MR 0350114

Regenda J. On some properties of third-order linear differential equation, Math. Slov., 26 (1976), 3-18. (1976) | MR 0427742 | Zbl 0351.34020

Singh Y. P. Some oscillation theorems for third order non-linear differential equations, The Yokohama Math. J., 18 (1970), 77-86. (1970) | MR 0283300 | Zbl 0216.36901

Singh Y. P. The asymptotic behavior of solutions of linear third order differential equations, Proceedings of the American Math. Society, 20 (1969), 309-314. (1969) | MR 0237885 | Zbl 0179.40503

Tryhuk V. An oscillation criterion for third order linear differential equations, Arch. Math. Brno, 11 (1975), 99-104. (1975) | MR 0412523

Zlámal M. Asymptotic properties of the solutions of the third order differential equations, Publ. Fac. Sci. Univ. Masaryk, 329 (1951), 159-167. (1951) | MR 0057412