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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.