Oscillation criteria for certain third-order variable delay functional dynamic equations on time scales

被引：5
|
作者：
Yang J. [1 ]
机构：
[1] Department of Science and Information, Shaoyang University, Shaoyang
来源：
Journal of Applied Mathematics and Computing | 2013年 / 43卷 / 1-2期
关键词：
Delay dynamic equations; Inequality techniques; Oscillation; Riccati transformation; Time scales;
D O I：
10.1007/s12190-013-0672-2
中图分类号：
学科分类号：
摘要：
The oscillation of certain third-order nonlinear variable delay functional dynamic equations with nonlinear neutral on time scales is discussed in this article. By using the generalized Riccati transformation and a lot of inequality techniques, some new oscillation criteria for the equations are established. Many of the results are new for the corresponding third-order difference equations and differential equations are as special cases. Some examples are given to illustrate the importance of our results. © 2013 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：445 / 466
页数：21
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