On oscillation criteria of fourth order linear differential equations

Oleg Palumbíny

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 2, page 467-477
  • ISSN: 0011-4642

Abstract

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The paper deals with oscillation criteria of fourth order linear differential equations with quasi-derivatives.

How to cite

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Palumbíny, Oleg. "On oscillation criteria of fourth order linear differential equations." Czechoslovak Mathematical Journal 53.2 (2003): 467-477. <http://eudml.org/doc/30791>.

@article{Palumbíny2003,
abstract = {The paper deals with oscillation criteria of fourth order linear differential equations with quasi-derivatives.},
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 = {2},
pages = {467-477},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On oscillation criteria of fourth order linear differential equations},
url = {http://eudml.org/doc/30791},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Palumbíny, Oleg
TI - On oscillation criteria of fourth order linear differential equations
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 467
EP - 477
AB - The paper deals with oscillation criteria of fourth order linear differential equations with quasi-derivatives.
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/30791
ER -

References

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  1. 10.2140/pjm.1968.27.507, Pacific. J. Math. 27 (1968), 507–526. (1968) Zbl0172.11703MR0240389DOI10.2140/pjm.1968.27.507
  2. Nonoscillation of solutions of the equation x ( n ) + p 1 ( t ) x ( n - 1 ) + + p n ( t ) x = 0 , Uspekhi mat. nauk, XXIV 2(146) (1969), 43–96. (Russian) (1969) 
  3. On existence of oscillatory solutions of third-order linear differential equations, Acta Fac. Paed. Univ. Tyrnaviensis, Ser.  B, No.  1 (1997), 105–112. (1997) 
  4. 10.1023/A:1022401101007, Czechoslovak Math. J.  49(124) (1999), 779–790. (1999) MR1746703DOI10.1023/A:1022401101007
  5. Oscillation criteria for fourth-order linear differential equations, Math. Slovaca 29 (1979), 3–16. (1979) Zbl0408.34032MR0561771
  6. A note on oscillation and nonoscillation criteria for fourth order linear differential equations, Math. Slovaca 33 (1983), 297–302. (1983) Zbl0539.34022MR0713952
  7. On monotone solutions of the fourth order ordinary differential equations, Czechoslovak Math.  J. 45(120) (1995), 737–746. (1995) MR1354930

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