On oscillation criteria for third order nonlinear delay differential equations
Archivum mathematicum, Tome 45 (2009) no. 1, pp. 1-18
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
Classification :
34C10, 34K11
Keywords: oscillation; third order; functional differential equation
Keywords: oscillation; third order; functional differential equation
@article{ARM_2009__45_1_a0,
author = {Agarwal, Ravi P. and Aktas, Mustafa F. and Tiryaki, A.},
title = {On oscillation criteria for third order nonlinear delay differential equations},
journal = {Archivum mathematicum},
pages = {1--18},
publisher = {mathdoc},
volume = {45},
number = {1},
year = {2009},
mrnumber = {2591657},
zbl = {1212.34189},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2009__45_1_a0/}
}
TY - JOUR AU - Agarwal, Ravi P. AU - Aktas, Mustafa F. AU - Tiryaki, A. TI - On oscillation criteria for third order nonlinear delay differential equations JO - Archivum mathematicum PY - 2009 SP - 1 EP - 18 VL - 45 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ARM_2009__45_1_a0/ LA - en ID - ARM_2009__45_1_a0 ER -
%0 Journal Article %A Agarwal, Ravi P. %A Aktas, Mustafa F. %A Tiryaki, A. %T On oscillation criteria for third order nonlinear delay differential equations %J Archivum mathematicum %D 2009 %P 1-18 %V 45 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ARM_2009__45_1_a0/ %G en %F ARM_2009__45_1_a0
Agarwal, Ravi P.; Aktas, Mustafa F.; Tiryaki, A. On oscillation criteria for third order nonlinear delay differential equations. Archivum mathematicum, Tome 45 (2009) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/ARM_2009__45_1_a0/