On monotone solutions of the fourth order ordinary differential equations

Mária Tóthová; Oleg Palumbíny

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 4, page 737-746
  • ISSN: 0011-4642

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Tóthová, Mária, and Palumbíny, Oleg. "On monotone solutions of the fourth order ordinary differential equations." Czechoslovak Mathematical Journal 45.4 (1995): 737-746. <http://eudml.org/doc/31500>.

@article{Tóthová1995,
author = {Tóthová, Mária, Palumbíny, Oleg},
journal = {Czechoslovak Mathematical Journal},
keywords = {monotone solutions; linear differential equations of the fourth order with quasi-derivatives},
language = {eng},
number = {4},
pages = {737-746},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On monotone solutions of the fourth order ordinary differential equations},
url = {http://eudml.org/doc/31500},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Tóthová, Mária
AU - Palumbíny, Oleg
TI - On monotone solutions of the fourth order ordinary differential equations
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 4
SP - 737
EP - 746
LA - eng
KW - monotone solutions; linear differential equations of the fourth order with quasi-derivatives
UR - http://eudml.org/doc/31500
ER -

References

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  1. Oscillatory and nonoscillatory properties of solutions of the differential equation y ( 4 ) + P ( t ) y ' ' + Q ( t ) y = 0 , Mathematica Slovaca 28 (1978). (1978) MR0534812
  2. On existence and uniqueness of the solutions of the third order differential equation, (to appear). (to appear) 
  3. Comparison theorems for third-order linear differential equations, Bulletin of the Institute of Mathematics Academia Sinica 19 (1991). (1991) Zbl0726.34029MR1144391
  4. On various properties of the solutions of third and fourth order linear differential equations, Proceedings of the conference held in Prague in September 1962. MR0174825
  5. Oscillation and asymptotic behaviour of third order linear differential equations, Bull. Inst. Math. Acad. Sinica 11(2) (1983). (1983) MR0723022
  6. Criteria of property A for third order superlinear differential equations, Math. Slovaca 43(2) (1993). (1993) MR1274600
  7. 10.1090/S0002-9947-1958-0102639-X, Trans. Amer. Math. Soc. 89 (1958). (1958) MR0102639DOI10.1090/S0002-9947-1958-0102639-X
  8. 10.1215/S0012-7094-62-02955-1, Duke. Math. J. 29 (1962). (1962) Zbl0108.08204MR0148981DOI10.1215/S0012-7094-62-02955-1
  9. On the oscillation of solutions of a class of linear fourth order differential equations, Pac. J. Math. 34 (1970). (1970) MR0268455
  10. Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung, Czechoslov. Math. J. 4(79) (1954). (1954) MR0065745

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