Asymptotic behavior for third-order quasi-linear differential equations

作者：Qin, Guixiang; Huang, Chuangxia; Xie, Yongqin; Wen, Fenghua^*

来源：Advances in Difference Equations, 2013.

• third-order quasi-linear differential equations
• oscillation
• nonoscillation

In this paper, a class of third-order quasi-linear differential equations with continuously distributed delay is studied. Applying the generalized Riccati transformation, integral averaging technique of Philos type and Young's inequality, a set of new criteria for oscillation or certain asymptotic behavior of nonoscillatory solutions of this equations is given. Our results essentially improve and complement some earlier publications.

• 出版日期2013-11-8
• 单位长沙理工大学; 中南大学