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

Advances in Difference Equations

Tongxing Li¹  Ying Jiang²  Cuimei Jiang² 

[1]LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, P.R. China

[2]Qingdao Technological University, Feixian, P.R. China

关键词: asymptotic behavior;    third-order neutral differential equation;    nonpositive neutral coefficient;    distributed deviating argument;    oscillation;    34K11;   

DOI  :  10.1186/s13662-016-0833-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY