Forced oscillation of second-order nonlinear dynamic equations on time scales
Tongxing Li, University of Jinan, Jinan, Shandong, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 60. (2009), pp. 1-8.
Zhenlai Han, University of Jinan, Jinan, Shandong, P. R. China
Shurong Sun, University of Jinan, Jinan, Shandong, P. R. China
Chenghui Zhang, Shandong University, Jinan, Shandong, P. R. China
| Communicated by P. Eloe. | Received on 2009-08-26 Appeared on 2009-11-03 |
Abstract: 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.
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