Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments
详细信息 查看全文
- 作者：Cuimei Jiang ; Ying Jiang ; Tongxing Li
- 关键词：asymptotic behavior ; third ; order neutral differential equation ; nonpositive neutral coefficient ; distributed deviating argument ; oscillation
- 刊名：Advances in Difference Equations
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：2016
- 期：1
- 全文大小：1,624 KB
- 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
- 出版者：Springer International Publishing
- ISSN：1687-1847
文摘
Using the Riccati transformation technique, we present several sufficient conditions that guarantee that all solutions to a third-order differential equation with nonpositive neutral coefficients and distributed deviating arguments are either oscillatory or converge to zero asymptotically. In particular, we establish Hille and Nehari type criteria. Two examples are given to demonstrate the practicability of the main results.