On oscillation criteria for third order nonlinear delay differential equations

Ravi P. Agarwal; Mustafa F. Aktas; Aydın Tiryaki

Archivum Mathematicum (2009)

  • Volume: 045, Issue: 1, page 1-18
  • ISSN: 0044-8753

Abstract

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In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form r 2 t r 1 t x ' ' ' + p t x ' + q t f x g t = 0 . We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.

How to cite

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Agarwal, Ravi P., Aktas, Mustafa F., and Tiryaki, Aydın. "On oscillation criteria for third order nonlinear delay differential equations." Archivum Mathematicum 045.1 (2009): 1-18. <http://eudml.org/doc/250683>.

@article{Agarwal2009,
abstract = {In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form \[ \ \left( r\_\{2\}\left( t\right) \left( r\_\{1\}\left( t\right) x^\{\prime \}\right) ^\{\prime \}\right) ^\{\prime \}+p\left( t\right) x^\{\prime \}+q\left( t\right) f\left( x\left( g\left( t\right) \right) \right) =0. \] We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.},
author = {Agarwal, Ravi P., Aktas, Mustafa F., Tiryaki, Aydın},
journal = {Archivum Mathematicum},
keywords = {oscillation; third order; functional differential equation; third order; functional differential equation},
language = {eng},
number = {1},
pages = {1-18},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On oscillation criteria for third order nonlinear delay differential equations},
url = {http://eudml.org/doc/250683},
volume = {045},
year = {2009},
}

TY - JOUR
AU - Agarwal, Ravi P.
AU - Aktas, Mustafa F.
AU - Tiryaki, Aydın
TI - On oscillation criteria for third order nonlinear delay differential equations
JO - Archivum Mathematicum
PY - 2009
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 045
IS - 1
SP - 1
EP - 18
AB - In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form \[ \ \left( r_{2}\left( t\right) \left( r_{1}\left( t\right) x^{\prime }\right) ^{\prime }\right) ^{\prime }+p\left( t\right) x^{\prime }+q\left( t\right) f\left( x\left( g\left( t\right) \right) \right) =0. \] We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.
LA - eng
KW - oscillation; third order; functional differential equation; third order; functional differential equation
UR - http://eudml.org/doc/250683
ER -

References

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  4. Aktas, M. F., Tiryaki, A., Oscillation criteria of a certain class of third order nonlinear delay differential equations, Proceedings of the 6th International ISAAC Congress, Ankara, Turkey, 13–18 August 2007, edited by H. G. W. Begehr (Freie Universität Berlin, Germany), A. O. Çelebi (Yeditepe University, Turkey) and R. P. Gilbert (University of Delaware, USA), World Scientific 2009, 507-514. Zbl1110.34048MR2581652
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