Oscilatory properties of solutions of the third order linear differential equation y ' ' ' + 2 A y ' + ( A ' + b ) y = 0 , where A = A ( x ) ≦ 0

Michal Greguš

Czechoslovak Mathematical Journal (1959)

  • Volume: 09, Issue: 3, page 416-428
  • ISSN: 0011-4642

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Greguš, Michal. "Oszillatorische Eigenschaften der Lösungen der linearen Differentialgleichung dritter Ordnung $y^{\prime \prime \prime }+2Ay^{\prime }+(A^{\prime }+b)y=0$, wo $A=A(x) \leqq 0$ ist." Czechoslovak Mathematical Journal 09.3 (1959): 416-428. <http://eudml.org/doc/11989>.

@article{Greguš1959,
author = {Greguš, Michal},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordinary differential equations},
language = {ger},
number = {3},
pages = {416-428},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oszillatorische Eigenschaften der Lösungen der linearen Differentialgleichung dritter Ordnung $y^\{\prime \prime \prime \}+2Ay^\{\prime \}+(A^\{\prime \}+b)y=0$, wo $A=A(x) \leqq 0$ ist},
url = {http://eudml.org/doc/11989},
volume = {09},
year = {1959},
}

TY - JOUR
AU - Greguš, Michal
TI - Oszillatorische Eigenschaften der Lösungen der linearen Differentialgleichung dritter Ordnung $y^{\prime \prime \prime }+2Ay^{\prime }+(A^{\prime }+b)y=0$, wo $A=A(x) \leqq 0$ ist
JO - Czechoslovak Mathematical Journal
PY - 1959
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 09
IS - 3
SP - 416
EP - 428
LA - ger
KW - ordinary differential equations
UR - http://eudml.org/doc/11989
ER -

References

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  1. G. Sansone, Studi sulle equazioni differenziali lineari omogenee di terzo ordine nel campo reale, Revista Matem. y Fisica Teorica, Serie A, 1948, Tucuman, 195 - 253. (1948) Zbl0041.41903MR0027404
  2. M. Greguš, O niektorých vlastnostiach riešení lineárnej diferenciálnej rovnice homogennej tretieho rádu, Matematicko-fyzikálny časopis SAV, 2, 1955, 73 - 85. (1955) MR0075377
  3. M. Greguš, Homogénny okrajový problém pre integrály lineárnej diferenciálnej rovnice tretieho rádu, Acta facultatis Rerum naturalium U. C. Bratislava, 2, 1957, 219-227. (1957) 
  4. М. Грегуш, О некоторых новых краевых проблемах дифференциального уравнения третьего порядка, Чехословац. мат. журнал 7, 1957, 41-47. (1957) Zbl0995.90594MR0090729

Citations in EuDML Documents

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  1. Ladislav Moravský, Некоторые колеблющиеся свойства решений нелинейного дифференциального уравнения вида y ' ' ' + p ( x ) y ' ' + q ( x ) f ( y ' ) + r ( x ) h ( y ) = 0
  2. Ján Regenda, On some properties of third-order linear differential equation
  3. Michal Greguš, Über einige Randwertprobleme dritter Ordnung
  4. Václav Tryhuk, An oscillation criterion for a canonical form of third order linear differential equations
  5. Oleg Palumbíny, On oscillatory solutions of fourth order ordinary differential equations

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