On existence of Kneser solutions of a certain class of n -th order nonlinear differential equations

Oleg Palumbíny

Mathematica Bohemica (1998)

  • Volume: 123, Issue: 1, page 49-65
  • ISSN: 0862-7959

Abstract

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The paper deals with existence of Kneser solutions of n -th order nonlinear differential equations with quasi-derivatives.

How to cite

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Palumbíny, Oleg. "On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations." Mathematica Bohemica 123.1 (1998): 49-65. <http://eudml.org/doc/248290>.

@article{Palumbíny1998,
abstract = {The paper deals with existence of Kneser solutions of $n$-th order nonlinear differential equations with quasi-derivatives.},
author = {Palumbíny, Oleg},
journal = {Mathematica Bohemica},
keywords = {nonlinear differential equations; quasi-derivatives; monotone solutions; Kneser solutions; nonlinear differential equations; quasi-derivatives; monotone solutions; Kneser solutions},
language = {eng},
number = {1},
pages = {49-65},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations},
url = {http://eudml.org/doc/248290},
volume = {123},
year = {1998},
}

TY - JOUR
AU - Palumbíny, Oleg
TI - On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 1
SP - 49
EP - 65
AB - The paper deals with existence of Kneser solutions of $n$-th order nonlinear differential equations with quasi-derivatives.
LA - eng
KW - nonlinear differential equations; quasi-derivatives; monotone solutions; Kneser solutions; nonlinear differential equations; quasi-derivatives; monotone solutions; Kneser solutions
UR - http://eudml.org/doc/248290
ER -

References

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  4. Palumbíny O., On existence of monotone solutions of a certain class of n-th order nonlinear differential equations, To appear. MR1635224
  5. Philos, Ch. G., Oscillation and asymptotic behaviour of third order linear differential equations, Bull. Inst. Math. Acad. Sinica 11(2) (1983), 141-160. (1983) MR0723022
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  7. Rovder J., Comparison theorems for third-order linear differential equations, Bull. Inst. Math. Acad. Sinica 19 (1991), 43-52. (1991) Zbl0726.34029MR1144391
  8. Rovder J., Kneser problem for third order nonlinear differential equation, Zborník vedeckých prác MtF STU Trnava (1993). (1993) 
  9. Shair A., 10.2140/pjm.1970.34.289, Pacific J. Math. 34 (1970), 289-299. (1970) MR0268455DOI10.2140/pjm.1970.34.289
  10. Škerlík A., Criteria of property A for third order superlinear differential equations, Math. Slovaca 43 (1993), 171-183. (1993) MR1274600
  11. Švec M., On various properties of the solutions of third and fourth order linear differential equations, Proceedings of the conference held in Prague in September 1962. pp. 187-198. (1962) MR0174825
  12. Švec M., Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung, Czechoslovak Math. J. 4 (79) (1954), 75-94. (1954) MR0065745
  13. Tóthová M., Palumbíny O., On monotone solutions of the fourth order ordinary differential equations, Czechoslovak Math. J. 45 (120) (1995), 737-746. (1995) Zbl0849.34023MR1354930

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