# On oscillatory linear differential equations of third order

Archivum Mathematicum (2001)

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

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topParhi, 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

top- 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
- On some new properties of solutions of the differential equation ${y}^{\text{'}\text{'}\text{'}}+Q{y}^{\text{'}}+$${Q}^{\text{'}}y=0$, Spisy Přír. fak. MU (Brno), 365 (1955), 1-18.
- On the solutions of certain linear nonhomogeneous second order differential equations, Appl. Anal. 1 (1971), 57–63. Zbl0215.43802MR0281997
- On two problems on oscillations of linear differential equations of the third order, J. Differential Equations 15 (1974), 589–596. Zbl0287.34029MR0342769
- Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York and London 1968. Zbl0191.09904MR0463570

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