| Title:
|
Some oscillatory properties of the perturbed linear differential equations of order $n$ (English) |
| Author:
|
Moravčík, Jozef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
305-311 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper there are generalized some results on oscillatory properties of the binomial linear differential equations of order $n (\ge 3$) for perturbed iterative linear differential equations of the same order. (English) |
| Keyword:
|
iterative linear differential equation |
| Keyword:
|
global equivalence |
| Keyword:
|
oscillation |
| MSC:
|
34C05 |
| MSC:
|
34C10 |
| MSC:
|
34C20 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 0849.34014 |
| idMR:
|
MR1390590 |
| . |
| Date available:
|
2008-06-06T21:29:40Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107552 |
| . |
| Reference:
|
[1] Čanturija, T.Ã.: Integraľnyje priznaki koleblemosti rešenij linejnych differenciaľnych uravnenij vyššich porjadkov.I. Diff. uravnenija, T. 16 (1980), 470-482. MR 0569776 |
| Reference:
|
[2] Hustý, Z.: Die Iteration homogener linearer Differentialgleichungen.Publ. Fac. Sci. Univ. J. E. Purkyně (Brno), 449 (1964), 23-56. MR 0196166 |
| Reference:
|
[3] Hustý Z.: Über die Transformation und Äquivalenz homogener linearer Differentialgleichungen von höherer als der zweiten Ordnung.III. Teil, Czech. Math. J. 16 (91) (1966), 161-185. MR 0197813 |
| Reference:
|
[4] Mařík, J., Ráb, M.: Asymptotische Eigenschaften von Lösungen der Differentialgleichung $y^{\prime \prime }=A(x)y$ im nichtoszillatorischen Fall.Czech. Math. J., 10 (85) (1960), 501-520. MR 0138842 |
| Reference:
|
[5] Moravčík, J.: Some oscillatory properties of solutions of linear differential equations of the $n$-th order of the kind 3.IV. scientific conference of the VŠD Žilina, 1. section (Proceedings) (Slovak) (1973), 79-87. MR 0402185 |
| Reference:
|
[6] Neuman, F.: Criterion of global equivalence of linear differential equations.Proceedings of the Royal Society of Edinburgh 97A (1984), 217-221. Zbl 0552.34009, MR 0751194 |
| Reference:
|
[7] Neuman, F.: Global properties of linear ordinary differential equations.Academia, Praha, 1991. Zbl 0784.34009, MR 1192133 |
| Reference:
|
[8] Oláh, R.: Integral conditions of oscillation of a linear differential equation.Math. Slovaca 39 (1989), 323-329. MR 1016349 |
| . |
