On a conjecture about an integral criterion for oscillation

Uri Elias; Anton Škerlík

Archivum Mathematicum (1998)

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

Abstract

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

How to cite

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Elias, 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

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  1. Asymptotic properties of solutions of nonautonomous ordinary differential equations, Kluwer Publishers, Dordrecht, 1993. (1993) MR1220223
  2. Oscillation theory of two-term differential equations, Kluwer Publishers, Dordrecht, 1997. (1997) Zbl0878.34022MR1445292
  3. An integral condition of oscillation for the equation y ' ' ' + p ( t ) y ' + q ( t ) y = 0 with nonnegative coefficients, Arch. Math. (Brno) 31 (1995), 151-161. (1995) MR1357983
  4. 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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