On oscillatory solutions of fourth order ordinary differential equations

Oleg Palumbíny

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 4, page 779-790
  • ISSN: 0011-4642

Abstract

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The paper deals with the oscillation of a differential equation L 4 y + P ( t ) L 2 y + Q ( t ) y ≡ 0 as well as with the structure of its fundamental system of solutions.

How to cite

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Palumbíny, Oleg. "On oscillatory solutions of fourth order ordinary differential equations." Czechoslovak Mathematical Journal 49.4 (1999): 779-790. <http://eudml.org/doc/30522>.

@article{Palumbíny1999,
abstract = {The paper deals with the oscillation of a differential equation $L_4y+P(t)L_2y+Q(t)y\equiv 0$ as well as with the structure of its fundamental system of solutions.},
author = {Palumbíny, Oleg},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear differential equation; quasi-derivative; monotone solution; Kneser solution; oscillatory solution; linear differential equation; quasi-derivative; monotone solution; Kneser solution; oscillatory solution},
language = {eng},
number = {4},
pages = {779-790},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On oscillatory solutions of fourth order ordinary differential equations},
url = {http://eudml.org/doc/30522},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Palumbíny, Oleg
TI - On oscillatory solutions of fourth order ordinary differential equations
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 779
EP - 790
AB - The paper deals with the oscillation of a differential equation $L_4y+P(t)L_2y+Q(t)y\equiv 0$ as well as with the structure of its fundamental system of solutions.
LA - eng
KW - linear differential equation; quasi-derivative; monotone solution; Kneser solution; oscillatory solution; linear differential equation; quasi-derivative; monotone solution; Kneser solution; oscillatory solution
UR - http://eudml.org/doc/30522
ER -

References

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  1. Nichtoszillatorische und oszillatorische Differentialgleichungen dritter Ordnung, Čas. Pěst. Mat., 96 (1971), 278–293. (1971) Zbl0222.34034MR0291556
  2. Oszillatorische Eigenschaften der Lösungen der linearen Differentialgleichung dritter Ordnung y ' ' ' + 2 A y ' + ( A ' + b ) y = 0 , wo A = A ( x ) ≤ 0 ist, Czechoslovak Math. J., 9(84) (1959), 416–428. (1959) MR0111888
  3. 10.2140/pjm.1968.27.507, Pac. J. Math., 27 (1968), 507–526. (1968) Zbl0172.11703MR0240389DOI10.2140/pjm.1968.27.507
  4. 10.1090/S0002-9947-1958-0102639-X, Trans. Amer. Math. Soc., 89 (1958), 325–377. (1958) MR0102639DOI10.1090/S0002-9947-1958-0102639-X
  5. Oscillation criteria for fourth-order linear differential equations, Math. Slovaca, 29 (1979), 3–16. (1979) Zbl0408.34032MR0561771
  6. Oscillation criteria for third-order linear differential equations, Mat. Čas., 25 (1975), 231–244. (1975) Zbl0309.34028MR0412521
  7. 10.2140/pjm.1970.34.289, Pac. J. Math., 34 (1970), 289–299. (1970) MR0268455DOI10.2140/pjm.1970.34.289
  8. Oscillatory properties of solutions of a fourth-order nonlinear differential equation, Math. Slovaca, 29 (1979), 73–82. (1979) MR0561780
  9. Einige asymptotische und oszillatorische Eigenschaften der Differentialgleichung y ' ' ' + A ( x ) y ' + B ( x ) y = 0 , Czechoslovak Math. J., 15 (1965), 378–393. (1965) Zbl0143.11202MR0185187
  10. On monotone solutions of the fourth order ordinary differential equations, Czechoslovak Math. J., 45(120) (1995), 737–746. (1995) MR1354930

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