Existence of Nonoscillatory Solutions of a Class of Nonlinear Dynamic Equations with a Forced Term

Shanliang Zhu, Xinli Zhang

College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China.

DOI: 10.4236/ojdm.2012.24035                

Abstract

In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillatory solutions for general and which means that we allow oscillatory and . We give some examples to illustrate the obtained results.

Keywords

Dynamic Equation; Higher Order; Non-Oscillation; Time Scale; Neutral

Conflicts of Interest

The authors declare no conflicts of interest.

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