Xun-Huan Deng, Qi-Ru Wang
Abstract:
In this article, we investigate the oscillation and nonoscillation of
second order nonlinear neutral dynamic equations with retarded and
advanced arguments by means of the theory of upper and lower solutions
for related dynamic equations along with some additional estimates on
positive solutions. We also apply the Kranoselskii's fixed point theorem
to obtain nonoscillation results. Some interesting examples are given
to illustrate the versatility of our results.
Submitted April 9, 2013. Published October 22, 2013.
Math Subject Classifications: 34N05, 34K40, 34K11.
Key Words: Nonlinear neutral dynamic equations; oscillation; nonoscillation;
upper and lower solutions; Kranoselskii's fixed point theorem.
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Xun-Huan Deng School of Mathematics and Computational Science Sun Yat-Sen University Guangzhou 510275, China email: deng_xunhuan@163.com | |
Qi-Ru Wang School of Mathematics and Computational Science Sun Yat-Sen University Guangzhou 510275, China email: mcswqr@mail.sysu.edu.cn |
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