Forced oscillation of second-order nonlinear dynamic equations on time scales

oleh: Tongxing Li, Zhenlai Han, Shurong Sun, Chenghui Zhang

Format: Article
Diterbitkan: University of Szeged 2009-11-01

Deskripsi

In this paper, by defining a class of functions, we establish some oscillation criteria for the second order nonlinear dynamic equations with forced term $$ x^{\Delta\Delta}(t)+a(t)f(x(q(t)))=e(t) $$ on a time scale $\mathbb{T}.$ Our results unify the oscillation of the second order forced differential equation and the second order forced difference equation. An example is considered to illustrate the main results.