Some oscillatory properties of the perturbed linear differential equations of order n

Jozef Moravčík

Archivum Mathematicum (1995)

  • Volume: 031, Issue: 4, page 305-311
  • ISSN: 0044-8753

Abstract

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In this paper there are generalized some results on oscillatory properties of the binomial linear differential equations of order n ( ≥ 3 ) for perturbed iterative linear differential equations of the same order.

How to cite

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Moravčík, Jozef. "Some oscillatory properties of the perturbed linear differential equations of order $n$." Archivum Mathematicum 031.4 (1995): 305-311. <http://eudml.org/doc/247701>.

@article{Moravčík1995,
abstract = {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.},
author = {Moravčík, Jozef},
journal = {Archivum Mathematicum},
keywords = {iterative linear differential equation; global equivalence; oscillation; oscillatory properties; binomial linear differential equations; perturbed iterative linear differential equations},
language = {eng},
number = {4},
pages = {305-311},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some oscillatory properties of the perturbed linear differential equations of order $n$},
url = {http://eudml.org/doc/247701},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Moravčík, Jozef
TI - Some oscillatory properties of the perturbed linear differential equations of order $n$
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 4
SP - 305
EP - 311
AB - 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.
LA - eng
KW - iterative linear differential equation; global equivalence; oscillation; oscillatory properties; binomial linear differential equations; perturbed iterative linear differential equations
UR - http://eudml.org/doc/247701
ER -

References

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  1. Integraľnyje priznaki koleblemosti rešenij linejnych differenciaľnych uravnenij vyššich porjadkov, I. Diff. uravnenija, T. 16 (1980), 470-482. (1980) MR0569776
  2. Die Iteration homogener linearer Differentialgleichungen, Publ. Fac. Sci. Univ. J. E. Purkyně (Brno), 449 (1964), 23-56. (1964) MR0196166
  3. Über die Transformation und Äquivalenz homogener linearer Differentialgleichungen von höherer als der zweiten Ordnung, III. Teil, Czech. Math. J. 16 (91) (1966), 161-185. (1966) MR0197813
  4. Asymptotische Eigenschaften von Lösungen der Differentialgleichung y ' ' = A ( x ) y im nichtoszillatorischen Fall, Czech. Math. J., 10 (85) (1960), 501-520. (1960) MR0138842
  5. 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. (1973) MR0402185
  6. Criterion of global equivalence of linear differential equations, Proceedings of the Royal Society of Edinburgh 97A (1984), 217-221. (1984) Zbl0552.34009MR0751194
  7. Global properties of linear ordinary differential equations, Academia, Praha, 1991. (1991) Zbl0784.34009MR1192133
  8. Integral conditions of oscillation of a linear differential equation, Math. Slovaca 39 (1989), 323-329. (1989) MR1016349

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