Some asymptotic and oscillatory properties of the differential equation y ' ' ' + A ( x ) y ' + B ( x ) y = 0

Marko Švec

Czechoslovak Mathematical Journal (1965)

  • Volume: 15, Issue: 3, page 378-393
  • ISSN: 0011-4642

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Švec, Marko. "Einige asymptotische und oszillatorische Eigenschaften der Differentialgleichung $y^{\prime \prime \prime }+A(x)y^{\prime }+B(x)y=0$." Czechoslovak Mathematical Journal 15.3 (1965): 378-393. <http://eudml.org/doc/12275>.

@article{Švec1965,
author = {Švec, Marko},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordinary differential equations},
language = {ger},
number = {3},
pages = {378-393},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Einige asymptotische und oszillatorische Eigenschaften der Differentialgleichung $y^\{\prime \prime \prime \}+A(x)y^\{\prime \}+B(x)y=0$},
url = {http://eudml.org/doc/12275},
volume = {15},
year = {1965},
}

TY - JOUR
AU - Švec, Marko
TI - Einige asymptotische und oszillatorische Eigenschaften der Differentialgleichung $y^{\prime \prime \prime }+A(x)y^{\prime }+B(x)y=0$
JO - Czechoslovak Mathematical Journal
PY - 1965
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 3
SP - 378
EP - 393
LA - ger
KW - ordinary differential equations
UR - http://eudml.org/doc/12275
ER -

References

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  1. Hanan M., 10.2140/pjm.1961.11.919, Pacific. J. Math. 11 (1961), 919-944. (1961) Zbl0104.30901MR0145160DOI10.2140/pjm.1961.11.919
  2. Швец M., Несколко замечаний о линейном дифференциальном уравнении третьего порядка, Чех. мат. ж., т. 15 (90) (1965) 42-49. (1965) Zbl1099.01519MR0171970
  3. Mařík J., Ráb M., Asymptotische Eigenschaften von Lösungen der Differentialgleichung y " = A ( x ) y im nichtoszillatorischen Fall, Czech. mat. J., t. 10 (85) (1960), 501-522. (1960) MR0138842
  4. Švec M., Sur une propriété des intégrales de l’équation y ( n ) + Q ( x ) y = 0 , n = 3 , 4 , Czech. mat. J., 7 (82) (1957), 450-461. (1957) MR0095313
  5. Vilari G., Sul carattere oscilatorio delle soluzioni delle equazioni difîerenziali lineari omogenee del terzo ordine, Boll. Un. Mat. Ital. III. Ser. 13 (1958), 73-78. (1958) MR0098874
  6. Greguš M., Über einige Eigenschaften der Lösungen der Differentialgleichung y ' " + 2 A y ' + ( A ' + b ) y = 0 , A ≤ O , Czech. mat. J., 11 (86) (1961), 106-114. (1961) MR0131028
  7. Švec M., On various properties of the solutions of third- and fourth-order linear differential equations, Proc. of the Conference "Differential equations and their applications", Prague, 1962. (1962) MR0174825
  8. Greguš M., Über die asymptotischen Eigenschaften der Lösungen der linearen Differentialgleichung dritter Ordnung, Ann. di Mat. Рurа ed Appl., S IV, LXIII, (1963), 1-10. (1963) MR0167686

Citations in EuDML Documents

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  1. Pavol Šoltés, O niektorých vlastnostiach riešení diferenciálnej rovnice tvaru y ' ' ' + p ( x ) y ' ' + q ( x ) y ' + r ( x ) y = f ( x )
  2. Jozef Rovder, Oscillation criteria for third-order linear differential equations
  3. Jozef Rovder, Three point value problem for third-order linear differential equation
  4. František Šišolák, On some properties of the solutions of the third order nonlinear differential equations with delay
  5. Jozef Rovder, Niektoré vlastnosti diferenciálnej rovnice y ' ' + f ( x ) | y | = 0
  6. Milan Gera, Einige oszillatorische Eigenschaften der Lösungen der Differentialgleichung dritter Ordnung y ' ' ' + p ( x ) y ' + q ( x ) y = 0
  7. Milan Gera, Über die Untermengen der Lösungen der Gleichung x ' ' ' + a ( t ) x " + b ( t ) x ' + c ( t ) x = 0 c ( t ) ≥ 0
  8. Oleg Palumbíny, On oscillatory solutions of fourth order ordinary differential equations

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