Electron. J. Diff. Equ., Vol. 2010(2010), No. 151, pp. 1-8.

Existence of solutions to n-th order neutral dynamic equations on time scales

Qiaoluan Li, Zhenguo Zhang

Abstact: In this article, we study n-th order neutral nonlinear dynamic equation on time scales. We obtain sufficient conditions for the existence of non-oscillatory solutions by using fixed point theory.

Submitted June 6, 2010. Published October 21, 2010.
Math Subject Classifications: 34K40, 34N99, 39A10.
Key Words: Time scales; dynamic equations; non-oscillatory solution.

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Qiaoluan Li
College of Mathematics and Information Science, Hebei Normal University
Shijiazhuang, 050016, China
email: qll71125@163.com
Zhenguo Zhang
College of Mathematics and Information Science, Hebei Normal University
Shijiazhuang, 050016, China.
Information College, Zhejiang Ocean University, Zhoushan, 316000, China
email: zhangzhg@mail.hebtu.edu.cn

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