# On a conjecture about an integral criterion for oscillation

Archivum Mathematicum (1998)

- Volume: 034, Issue: 3, page 393-399
- ISSN: 0044-8753

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topElias, Uri, and Škerlík, Anton. "On a conjecture about an integral criterion for oscillation." Archivum Mathematicum 034.3 (1998): 393-399. <http://eudml.org/doc/248208>.

@article{Elias1998,

abstract = {We discuss an open question of Kiguradze and Chanturia about Property $A$ and Property $B$ for the equation $ y^\{(n)\} + py = 0 $. The proposed integral criterion is proved in a few cases.},

author = {Elias, Uri, Škerlík, Anton},

journal = {Archivum Mathematicum},

keywords = {oscillation; Property A; Property B; oscillation; property ; property },

language = {eng},

number = {3},

pages = {393-399},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On a conjecture about an integral criterion for oscillation},

url = {http://eudml.org/doc/248208},

volume = {034},

year = {1998},

}

TY - JOUR

AU - Elias, Uri

AU - Škerlík, Anton

TI - On a conjecture about an integral criterion for oscillation

JO - Archivum Mathematicum

PY - 1998

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 034

IS - 3

SP - 393

EP - 399

AB - We discuss an open question of Kiguradze and Chanturia about Property $A$ and Property $B$ for the equation $ y^{(n)} + py = 0 $. The proposed integral criterion is proved in a few cases.

LA - eng

KW - oscillation; Property A; Property B; oscillation; property ; property

UR - http://eudml.org/doc/248208

ER -

## References

top- Asymptotic properties of solutions of nonautonomous ordinary differential equations, Kluwer Publishers, Dordrecht, 1993. (1993) MR1220223
- Oscillation theory of two-term differential equations, Kluwer Publishers, Dordrecht, 1997. (1997) Zbl0878.34022MR1445292
- An integral condition of oscillation for the equation ${y}^{\text{'}\text{'}\text{'}}+p\left(t\right){y}^{\text{'}}+q\left(t\right)y=0$ with nonnegative coefficients, Arch. Math. (Brno) 31 (1995), 151-161. (1995) MR1357983
- An integral condition of Property $A$ and $B$ for linear differential equation of third order, Proceedings of the Conference on Ordinary Differential Equations Poprad, Slovac Republic (1994), 81-85. (1994)

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