Oscillation of Second-Order Nonlinear Delay Dynamic Equations with Damping on Time Scales
Agwa, H. A.; Khodier, Ahmed M. M.; Ali, Heba;
Abstract
We use the generalized Riccati transformation and the inequality technique to establish some new oscillation criteria for the second-order nonlinear delay dynamic equation with damping on a time scale T(r(t)g(x(t), xΔ(t))) Δ+p(t)g(x(t), xΔ(t)) + q(t)f(x(τ(t)))=0, where r(t), p(t), and q(t) are positive right dense continuous (rd-continuous) functions on T. Our results improve and extend some results established by Zhang et al., 2011. Also, our results unify the oscillation of the second-order nonlinear delay differential equation with damping and the second-order nonlinear delay difference equation with damping. Finally, we give some examples to illustrate our main results. © 2014 H. A. Agwa et al.
Other data
Title | Oscillation of Second-Order Nonlinear Delay Dynamic Equations with Damping on Time Scales | Authors | Agwa, H. A. ; Khodier, Ahmed M. M. ; Ali, Heba | Issue Date | 2014 | Journal | International Journal of Differential Equations | DOI | https://api.elsevier.com/content/abstract/scopus_id/84904101208 1 2014 10.1155/2014/594376 |
Scopus ID | 2-s2.0-84904101208 |
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