TITLE:
Existence of Nonoscillatory Solutions of a Class of Nonlinear Dynamic Equations with a Forced Term
AUTHORS:
Shanliang Zhu, Xinli Zhang
KEYWORDS:
Dynamic Equation; Higher Order; Non-Oscillation; Time Scale; Neutral
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.2 No.4,
November
1,
2012
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.