Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung x ' ' ' + a ( t ) x ' ' + b ( t ) x ' + c ( t ) x = 0 , c ( t ) > = 0

Milan Gera

Matematický časopis (1975)

  • Volume: 25, Issue: 1, page 23-40
  • ISSN: 0139-9918

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Gera, Milan. "Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung $x^{\prime \prime \prime } +a(t)x^{\prime \prime }+b(t)x^{\prime } +c(t)x=0$, $c(t)>= 0$." Matematický časopis 25.1 (1975): 23-40. <http://eudml.org/doc/30196>.

@article{Gera1975,
author = {Gera, Milan},
journal = {Matematický časopis},
language = {ger},
number = {1},
pages = {23-40},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung $x^\{\prime \prime \prime \} +a(t)x^\{\prime \prime \}+b(t)x^\{\prime \} +c(t)x=0$, $c(t)>= 0$},
url = {http://eudml.org/doc/30196},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Gera, Milan
TI - Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung $x^{\prime \prime \prime } +a(t)x^{\prime \prime }+b(t)x^{\prime } +c(t)x=0$, $c(t)>= 0$
JO - Matematický časopis
PY - 1975
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 25
IS - 1
SP - 23
EP - 40
LA - ger
UR - http://eudml.org/doc/30196
ER -

References

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  1. GERA M., Über einige Eigenschaften der Lösungen der Gleichung x'" + a(t)x" + b(t)x' + c(t)x = 0, c(t) ≥ 0, Mat. Čas., 24, 1974, 357-370. (1974) MR0385233
  2. LAZER A. C., The behavior of solutions of the differential equation y" + p(x)y' + q(x)y = 0, Pac. J. Math., 17, 1966, 435-466. (1966) MR0193332
  3. HANAN M., Oscillation criteria for third-order linear differential equations, Pac. J. Math., 11, 1961, 919-944. (1961) Zbl0104.30901MR0145160
  4. САНСОНЕ, Дж., Обыкновенные дифференциальные уравнения, T. 1. Mocквa 1953 (nepeвод с итальянскoro). (1953) Zbl1151.94459
  5. GREGUŠ M., Über die lineare homogene Differentialgleichung dritter Ordnung, Wiss. Z. Univ. Halle, Math.-Nat., XII/3, 1963, 265-268. (1963) Zbl0118.30501MR0170075
  6. GREGUŠ M., O oscilatoričnosti riešení diferenciálnej rovnice tretieho rádu, , In: Sborník družby pěti bratrských universit Kyjev, Krakov, Debrecín, Bratislava, Brno 1966, 146-150. (1966) MR0212251
  7. RÁB M., Oscilační vlastnosti integrálů diferenciální rovnice 3. řádu, , Práce Brněnské základny Českoslov. akad. věd XXVII, 1955, 349-360. (1955) MR0080821
  8. ZLÁMAL M., Asymptotic properties of the solutions of the third order linear differential equations, Publ. Fac. Sci. Univ. Masaryk, 1951/6, č. 329, 159-167. (1951) MR0057412
  9. DOLAN J. M., On the relationship between the oscillatory behavior of a linear third-order differential equation and its adjoint, J. diff. Eqs., 7, 1970, 367-388. (1970) Zbl0191.10001MR0255908
  10. XAPTMAH Ф., Обыкновенные дифференциальные уравнения, Mocквa 1970 (nepeвод с английскoro). (1970) 
  11. RÁB M., Kriterien für die Oszillation der Lösungen der Differentialgleichung [p(x)y'Y]' + q(x)y = 0, Časop. pěstov. mat., 84, 1959, 335-370. (1959) 

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