Asymptotic properties of the differential equation y ' ' + 2 a 1 ( x ) y ' + a 2 ( x ) y = 0

Zdeněk Hustý

Czechoslovak Mathematical Journal (1969)

  • Volume: 19, Issue: 2, page 208-240
  • ISSN: 0011-4642

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Hustý, Zdeněk. "Asymptotische Eigenschaften der Differentialgleichung $y^{\prime \prime } + 2a_1(x)y^{\prime } + a_2(x)y = 0$." Czechoslovak Mathematical Journal 19.2 (1969): 208-240. <http://eudml.org/doc/12465>.

@article{Hustý1969,
author = {Hustý, Zdeněk},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordinary differential equations},
language = {ger},
number = {2},
pages = {208-240},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotische Eigenschaften der Differentialgleichung $y^\{\prime \prime \} + 2a_1(x)y^\{\prime \} + a_2(x)y = 0$},
url = {http://eudml.org/doc/12465},
volume = {19},
year = {1969},
}

TY - JOUR
AU - Hustý, Zdeněk
TI - Asymptotische Eigenschaften der Differentialgleichung $y^{\prime \prime } + 2a_1(x)y^{\prime } + a_2(x)y = 0$
JO - Czechoslovak Mathematical Journal
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 19
IS - 2
SP - 208
EP - 240
LA - ger
KW - ordinary differential equations
UR - http://eudml.org/doc/12465
ER -

References

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  1. L. Berg, Asymptotische Darstellungen und Entwicklungen, Berlin 1968. (1968) Zbl0165.36901MR0241873
  2. M. Ráb, Über lineare Perturbationen eines Systems von linearen Differentialgleichungen, Czechoslovak Math. J. 8 (83) (1958), 222-229. (1958) MR0102633
  3. A. Ghizetti, Un teorema sul comportamento asintotico degli integrali délie equazioni differenziali lineari omogenee, Rendiconti di matematica e délie sue applicazioni, Roma (5), 8, (1949), 28-42. (1949) MR0035353
  4. M. Zlámal, 10.1002/mana.19530100304, Mathematische Nachrichten 10 (1953), 169-174. (1953) MR0058047DOI10.1002/mana.19530100304
  5. M. Ráb, Asymptotische Formeln für die Lösungen der Differentialgleichung y" + q(x) y = 0, Czechoslovak Math. J. 14 (89), (1964), 203-221. (1964) MR0165173
  6. Z. Hustý, Asymptotische Formeln für die Lösungen der Differentialgleichung y” + 2 q 1 y- + g 2 y = 0, Druck. 
  7. Z. Hustý, Über die Transformation und Äquivalenz homogener linearer Differentialgleichungen von höherer als der zweiten Ordnung, I, Teil, Czechoslovak Math. J. 15 (90), (1965), 479-502. (1965) MR0197811
  8. J. Mařík M. Ráb, Asymptotische Eigenschaften der Differentialgleichung y" = A(x)y im nichtoszillatorischen Fall, Czechoslovak Math. J. 10 (85), (1960), 501-522. (1960) MR0138842

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