Geodesic
Some oscillatory properties of the perturbed linear differential equations of order $n$
Archivum mathematicum, Tome 31 (1995) no. 4, pp. 305-311 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 34C05, 34C10, 34C20, 34D05
Keywords: iterative linear differential equation; global equivalence; oscillation 
@article{ARM_1995_31_4_a7,
     author = {Morav\v{c}{\'\i}k, Jozef},
     title = {Some oscillatory properties of the perturbed linear differential equations of order $n$},
     journal = {Archivum mathematicum},
     pages = {305--311},
     year = {1995},
     volume = {31},
     number = {4},
     mrnumber = {1390590},
     zbl = {0849.34014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995_31_4_a7/}
}
TY  - JOUR
AU  - Moravčík, Jozef
TI  - Some oscillatory properties of the perturbed linear differential equations of order $n$
JO  - Archivum mathematicum
PY  - 1995
SP  - 305
EP  - 311
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ARM_1995_31_4_a7/
LA  - en
ID  - ARM_1995_31_4_a7
ER  - 
%0 Journal Article
%A Moravčík, Jozef
%T Some oscillatory properties of the perturbed linear differential equations of order $n$
%J Archivum mathematicum
%D 1995
%P 305-311
%V 31
%N 4
%U http://geodesic.mathdoc.fr/item/ARM_1995_31_4_a7/
%G en
%F ARM_1995_31_4_a7
Moravčík, Jozef. Some oscillatory properties of the perturbed linear differential equations of order $n$. Archivum mathematicum, Tome 31 (1995) no. 4, pp. 305-311. http://geodesic.mathdoc.fr/item/ARM_1995_31_4_a7/

[1] Čanturija, T.Ã.: Integraľnyje priznaki koleblemosti rešenij linejnych differenciaľnych uravnenij vyššich porjadkov. I. Diff. uravnenija, T. 16 (1980), 470-482. | MR

[2] Hustý, Z.: Die Iteration homogener linearer Differentialgleichungen. Publ. Fac. Sci. Univ. J. E. Purkyně (Brno), 449 (1964), 23-56. | MR

[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

[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

[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

[6] Neuman, F.: Criterion of global equivalence of linear differential equations. Proceedings of the Royal Society of Edinburgh 97A (1984), 217-221. | MR | Zbl

[7] Neuman, F.: Global properties of linear ordinary differential equations. Academia, Praha, 1991. | MR | Zbl

[8] Oláh, R.: Integral conditions of oscillation of a linear differential equation. Math. Slovaca 39 (1989), 323-329. | MR