Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments

作者：Jiang, Cuimei; Jiang, Ying; Li, Tongxing^*

来源：Advances in Difference Equations, 2016, 2016(1): 1-14.

DOI：10.1186/s13662-016-0833-3

• asymptotic behavior
• third-order neutral differential equation
• nonpositive neutral coefficient
• distributed deviating argument
• oscillation

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.

• 出版日期2016-4-12
• 单位青岛理工大学