| Title:
|
An oscillation criterion for a canonical form of third order linear differential equations (English) |
| Author:
|
Tryhuk, Václav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
13 |
| Issue:
|
3 |
| Year:
|
1977 |
| Pages:
|
175-180 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0384.34022 |
| idMR:
|
MR0481261 |
| . |
| Date available:
|
2008-06-06T06:03:52Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106974 |
| . |
| Reference:
|
[1] 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. MR 0111888 |
| Reference:
|
[2] 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. MR 0131028 |
| Reference:
|
|3] Hanan M.: Oscillation criteria for third-order linear differential equation.Pacif. J. Math., 11 (1961), 914-944. MR 0145160 |
| Reference:
|
[4] 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. Zbl 0143.31501, MR 0193332 |
| Reference:
|
[5] 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). MR 0240390 |
| Reference:
|
[6] Neuman F.: Geometrical approach to linear differential equations of the n-th order.Rend. di Matem., 5 (1972), 579-602, Zbl 0257.34029, MR 0324141 |
| Reference:
|
[7] Neuman F.: Oscillation in linear differential equations.Proceedings of Equadiff III, Brno 1972, 119-125. MR 0350114 |
| Reference:
|
[8] Regenda J.: On some properties of third-order linear differential equation.Math. Slov., 26 (1976), 3-18. Zbl 0351.34020, MR 0427742 |
| Reference:
|
[9] Singh Y. P.: Some oscillation theorems for third order non-linear differential equations.The Yokohama Math. J., 18 (1970), 77-86. Zbl 0216.36901, MR 0283300 |
| Reference:
|
[10] Singh Y. P.: The asymptotic behavior of solutions of linear third order differential equations.Proceedings of the American Math. Society, 20 (1969), 309-314. Zbl 0179.40503, MR 0237885 |
| Reference:
|
[11] Tryhuk V.: An oscillation criterion for third order linear differential equations.Arch. Math. Brno, 11 (1975), 99-104. MR 0412523 |
| Reference:
|
[12] Zlámal M.: Asymptotic properties of the solutions of the third order differential equations.Publ. Fac. Sci. Univ. Masaryk, 329 (1951), 159-167. MR 0057412 |
| . |
