By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations on a time scale ; here γ > 0 is a quotient of odd positive integers and p a real-valued positive rd-continuous function defined on . Our results not only extend and improve the results of T. S. Hassan [Math. Comput. Modelling 49 (2009)] but also unify the results on oscillation of third-order delay differential equations and third-order delay difference equations.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-2-3,
author = {Zhenlai Han and Tongxing Li and Shurong Sun and Fengjuan Cao},
title = {Oscillation criteria for third order nonlinear delay dynamic equations on time scales},
journal = {Annales Polonici Mathematici},
volume = {98},
year = {2010},
pages = {143-156},
zbl = {1253.34078},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-2-3}
}
Zhenlai Han; Tongxing Li; Shurong Sun; Fengjuan Cao. Oscillation criteria for third order nonlinear delay dynamic equations on time scales. Annales Polonici Mathematici, Tome 98 (2010) pp. 143-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-2-3/