Oscillation criteria for third order nonlinear delay dynamic equations on time scales

Zhenlai Han, et al. "Oscillation criteria for third order nonlinear delay dynamic equations on time scales." Annales Polonici Mathematici 99.2 (2010): 143-156. <http://eudml.org/doc/280632>.

@article{ZhenlaiHan2010,
abstract = {By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations $((x^\{ΔΔ\}(t))^γ)^Δ + p(t)x^γ(τ(t)) = 0$ 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.},
author = {Zhenlai Han, Tongxing Li, Shurong Sun, Fengjuan Cao},
journal = {Annales Polonici Mathematici},
keywords = {oscillation; third order; delay dynamic equations; time scales},
language = {eng},
number = {2},
pages = {143-156},
title = {Oscillation criteria for third order nonlinear delay dynamic equations on time scales},
url = {http://eudml.org/doc/280632},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Zhenlai Han
AU - Tongxing Li
AU - Shurong Sun
AU - Fengjuan Cao
TI - Oscillation criteria for third order nonlinear delay dynamic equations on time scales
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 2
SP - 143
EP - 156
AB - By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations $((x^{ΔΔ}(t))^γ)^Δ + p(t)x^γ(τ(t)) = 0$ 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.
LA - eng
KW - oscillation; third order; delay dynamic equations; time scales
UR - http://eudml.org/doc/280632
ER -