Asymptotic properties of solutions of the differential equation y ' ' + A ( x ) y = 0

Miloš Ráb

Czechoslovak Mathematical Journal (1958)

  • Volume: 08, Issue: 4, page 513-519
  • ISSN: 0011-4642

How to cite

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Ráb, Miloš. "Asymptotische Eigenschaften der Lösungen der Differentialgleichung $y^{\prime \prime }+A(x)y=0$." Czechoslovak Mathematical Journal 08.4 (1958): 513-519. <http://eudml.org/doc/11954>.

@article{Ráb1958,
author = {Ráb, Miloš},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordinary differential equations},
language = {ger},
number = {4},
pages = {513-519},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotische Eigenschaften der Lösungen der Differentialgleichung $y^\{\prime \prime \}+A(x)y=0$},
url = {http://eudml.org/doc/11954},
volume = {08},
year = {1958},
}

TY - JOUR
AU - Ráb, Miloš
TI - Asymptotische Eigenschaften der Lösungen der Differentialgleichung $y^{\prime \prime }+A(x)y=0$
JO - Czechoslovak Mathematical Journal
PY - 1958
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 08
IS - 4
SP - 513
EP - 519
LA - ger
KW - ordinary differential equations
UR - http://eudml.org/doc/11954
ER -

References

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  1. Ascoli G., Sul comportamento asintotico degli integrali delle equazioni differenziali del 2° ordine, Atti della R. Accad. Naz. dei Lincei, Rendiconti, ser. 6, vol. XXII (1935), 234-243. (1935) 
  2. Bellman R., Boundedness of the solutions of second order linear differential equations, Duke Math. Journal 22 (1955), 511-513. (1955) Zbl0066.33403MR0075376
  3. Pinney E., The non linear differential equation, Proceedings of the Amer. Math. Soc, 1 (1950), p. 681. (1950) 
  4. Wintner A., 10.2307/2371850, Amer. Journ. Math. 69 (1947), 251-272. (1947) MR0021188DOI10.2307/2371850
  5. Wintner A., 10.2307/2371831, Amer. Journ. Math. 68 (1946), 185-213. (1946) Zbl0063.08291MR0016813DOI10.2307/2371831
  6. Zlámal M., Über asymptotische Eigenschaften der Lösungen der linearen Differentialgleichung zweiter Ordnung, Чех. мат. Журнал, м. 6 (81) 1956, 75-93. (1956) MR0080215

Citations in EuDML Documents

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  1. Ivo Res, Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung
  2. Zdeněk Hustý, Asymptotische Formeln für die Lösungen homogener linearer Differentialgleichungen n -ter Ordnung im oszillatorischen Fall
  3. Jan Mařík, Miloš Ráb, Asymptotische Eigenschaften von Lösungen der Differentialgleichung y ' ' = A ( x ) · y im nichtoszillatorischen Fall
  4. Miloš Ráb, Asymptotische Formeln für die Lösungen der Differentialgleichung y ' ' + q ( x ) y = 0

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