Title :
Oscillation criteria for second-order nonlinear delay dynamic equations with damping on time scales
Author :
Gao Li ; Zhang Quanxin
Author_Institution :
Dept. of Math. & Inf. Sci., Binzhou Univ., Binzhou, China
Abstract :
By using the generalized Riccati transformation and the inequality technique, we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations with damping on time scales. Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear differential equation with damping and the second-order nonlinear difference equation with damping.
Keywords :
Riccati equations; damping; delays; difference equations; nonlinear differential equations; nonlinear dynamical systems; oscillations; damping; generalized Riccati transformation; inequality technique; oscillation criteria; second-order nonlinear delay dynamic equations; second-order nonlinear difference equation; second-order nonlinear differential equation; time scales; Damping; Delay; Difference equations; Differential equations; Mathematical model; Oscillators; Dynamic equations with damping; Oscillation criterion; Time scale;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
