Authors: Shanliang Zhu
In this paper, The author studies the existence of bounded nonoscillatory solutions of a class of forced higher order nonlinear neutral dynamic equations on a time scale T . By using fixed point theorem and some new techniques, the author obtains sufficient conditions for the existence of nonoscillatory solutions for general () i pt , () i fx and () qt which means that they are allowed oscillate. The results not only generalize and improve the known results stated for differential and difference equations, but also improve some of the results for dynamic equations on time scales. An example is included to illustrate the results.
Comments: 11 Pages.
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[v1] 2014-05-08 00:41:53
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