On oscillatory linear differential equations of third order

N. Parhi; Seshadev Padhi

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 1, page 33-38
  • ISSN: 0044-8753

Abstract

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Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory.

How to cite

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Parhi, N., and Padhi, Seshadev. "On oscillatory linear differential equations of third order." Archivum Mathematicum 037.1 (2001): 33-38. <http://eudml.org/doc/248741>.

@article{Parhi2001,
abstract = {Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory.},
author = {Parhi, N., Padhi, Seshadev},
journal = {Archivum Mathematicum},
keywords = {oscillation; nonoscillation; weakly oscillatory; strongly oscillatory; third order differential equation; oscillation; strongly oscillation},
language = {eng},
number = {1},
pages = {33-38},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On oscillatory linear differential equations of third order},
url = {http://eudml.org/doc/248741},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Parhi, N.
AU - Padhi, Seshadev
TI - On oscillatory linear differential equations of third order
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 1
SP - 33
EP - 38
AB - Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory.
LA - eng
KW - oscillation; nonoscillation; weakly oscillatory; strongly oscillatory; third order differential equation; oscillation; strongly oscillation
UR - http://eudml.org/doc/248741
ER -

References

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  1. On the relationship between the oscillatory behaviour of a linear third order differential equation and its adjoint, J. Differential Equations 7 (1970), 367–388. MR0255908
  2. On some new properties of solutions of the differential equation y ' ' ' + Q y ' + Q ' y = 0 , Spisy Přír. fak. MU (Brno), 365 (1955), 1-18. 
  3. On the solutions of certain linear nonhomogeneous second order differential equations, Appl. Anal. 1 (1971), 57–63. Zbl0215.43802MR0281997
  4. On two problems on oscillations of linear differential equations of the third order, J. Differential Equations 15 (1974), 589–596. Zbl0287.34029MR0342769
  5. Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York and London 1968. Zbl0191.09904MR0463570

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